# Ambipolar ferromagnetism by electrostatic doping of a manganite

## Abstract

Complex-oxide materials exhibit physical properties that involve the interplay of charge and spin degrees of freedom. However, an ambipolar oxide that is able to exhibit both electron-doped and hole-doped ferromagnetism in the same material has proved elusive. Here we report ambipolar ferromagnetism in LaMnO3, with electron–hole asymmetry of the ferromagnetic order. Starting from an undoped atomically thin LaMnO3 film, we electrostatically dope the material with electrons or holes according to the polarity of a voltage applied across an ionic liquid gate. Magnetotransport characterization reveals that an increase of either electron-doping or hole-doping induced ferromagnetic order in this antiferromagnetic compound, and leads to an insulator-to-metal transition with colossal magnetoresistance showing electron–hole asymmetry. These findings are supported by density functional theory calculations, showing that strengthening of the inter-plane ferromagnetic exchange interaction is the origin of the ambipolar ferromagnetism. The result raises the prospect of exploiting ambipolar magnetic functionality in strongly correlated electron systems.

## Introduction

Manipulating carriers of either sign and flipping the orientation of ferromagnetically coupled spins are operations that are basic to current information technology. An ambipolar ferromagnet that would allow the ordered spins to coexist with either electrons or holes in a single material, without modifying its crystal structure or chemical composition, is an appealing prospect. It could lead to advances in fundamental understanding of magnetic semiconductors and form a building block for new electric-field controlled spintronics based on the ability to create, control and detect the spin-polarized holes or electrons. Operating locally and reversibly, the electric-field offers notable advantages over magnetic field or hard chemical doping in the fabrication and operation of spintronic devices. Recently, there has been a lot of interest in ambipolar functionality, such as ambipolar conductivity in graphene1, black phosphorus2, and organic materials3. However, ferromagnetic semiconductors have so far been based on either electron-doped or hole-doping, but never both in the one material, precluding possible ambipolar spintronic devices, such as a dual-channel field-effect spin-filter or a field-effect spin valve.

Researchers are exploring various ways to create amipolar functionality in materials. Electrostatic doping4,5 of the mixed-valence manganites6 using an ionic liquid gate is a promising approach to try to realize ambipolar ferromagnetism, in light of the manganites’ rich magnetic phase diagrams and the possibility of generating high carrier densities of up to ~1015 cm−2, using an ionic liquid as gate dielectric. Ionic liquids have been used to achieve various other effects, including ambipolar doping layered materials2, superconductivity4,7,8,9,10,11,12,13,14, charge density waves15, metal–insulator transitions,16,17 and large resistive responses in mixed-valence manganites18,19,20,21. However, ambipolar ferromagnetism has proved difficult to achieve, owing to the challenge of varying the carrier density over a wide range while controlling the carrier–spin interactions. Nonetheless, from a material’s point of view, as an end member of several mixed-valence manganite solid solutions, LaMnO3 (LMO) is a good candidate for the realization of ambipolar ferromagnetism. The manganese is trivalent (Mn3+; 3d4) in bulk LMO, which exhibits an A-type antiferromagnetic ground state, but offers possibilities for hosting ferromagnetism with both electron (Mn2+; 3d5) and hole (Mn4+; 3d3) doping22,23.

Here we have managed to achieve ambipolar ferromagnetism by electrostatically gating atomically thin LMO films using an ionic liquid as a gate dielectric.

## Results

### Basic characterization

Figure 1a shows the electric double-layer transistor (EDLT) with a planar device configuration fabricated on a three unit cell (uc) thick LMO film24 grown on SrTiO3 (001) (STO) with an ionic liquid as the electrolyte (Methods section). Figure 1b illustrates the atomically flat surface of LMO after the gating measurements, revealed by an atomic force microscope. The high quality surface after gating indicates that etching of the material due to ionic liquid gating is negligible. In addition, we performed high-resolution cross-section scanning transmission electron microscopy (STEM) and electron energy loss spectroscopy (EELS) on a 3 uc LMO sample with an overlayer of STO. The STO overlayer was added in order to avoid damage during the STEM sample preparation to correctly characterize the interface between LMO and STO (see Supplementary Note 7). Figure 1c shows a high-angle annular dark field (HAADF) image of the sample along the [010] zone axis. Figure 1d shows the EELS results of the region of green square in Fig. 1c, demonstrating that the extent of intermixing at the LMO-STO interface is limited to 1 uc. The ultrathin layer thickness is a prerequisite for our study, because the required modulation of the carrier density is very large. In thick films, the induced carriers will be spread out, resulting in little modulation of the density. Furthermore, the surface and interface states in ultrathin films are more sensitive to the external modulations, such as electrostatic doping25,26. Carrier doping was realized by applying a gate voltage (VG) to the double-layer capacitor formed by the ionic liquid. The sheet resistance (RS) of the LMO film at 300 K decreases linearly on both sides of zero-voltage, as shown in Fig. 2a. This gating response is typical of an ambipolar material. It is important to note that no hysteresis is observed while sweeping VG, demonstrating that diffusion of oxygen vacancies is negligible during the gating experiments.

### Electrostatic gating

In order to further investigate the carrier behavior and the intrinsic magnetic properties of the material, the Hall resistivity (ρxy) of the 3 uc LMO film was measured at different temperatures for VG = ± 3 V. The Hall effect in a ferromagnet is a combination of the ordinary Hall effect (OHE) and the anomalous Hall effect (AHE)27,28. In ferromagnetic mixed-valence manganites, the OHE and AHE contributions to ρxy have opposite trends, resulting in an anomalous ρxy behavior different from that in ordinary ferromagnetic materials. The AHE starts to dominate above ~100 K, increases sharply around the Curie temperature (TC), peaking at a temperature roughly 30 K above TC, and decreases slowly at higher temperatures29. Figure 2b, c shows ρxy of LMO at various temperatures in the electron-doped and hole-doped regimes, exhibiting an AHE which is in good agreement with studies on La1−xAxMnO3 (A = Ba, Ca, Pb, Ce, and Sr) single crystals23,30,31. Typically, the AHE in hole-doped manganites, such as La1−xSrxMnO3 and La1−xCaxMnO3, is prominent31 at temperatures close to the Curie temperature, TC, namely in the higher temperature region of the metallic phase, where dρxx/dT is positive and the lower temperature region of the insulating phase, where dρxx/dT is negative. When the temperature is well below or above the TC, the Hall resistance becomes linear in magnetic field. These generic features are consistent with our experimental observation. The maximum magnitude of the AHE for La1−xSrxMnO3 and La1−xCaxMnO3 are ~0.65 and 1.3 µΩ cm, which is also consistent with the magnitude of the AHE in our study. Since the AHE is due to broken time-reversal symmetry, typically as a result of spin–orbit coupling in a ferromagnetic phase28,32,33, the data demonstrate the ferromagnetic nature of the films under both positive and negative gating.

The carrier densities of the electrons and holes under different gate voltages were calculated from the Hall measurement at 2 K, and are shown in Fig. 2d with n(p) representing the electron(hole) content per Mn. At 2 K, ρxy exhibits a linear variation with magnetic field (μ0H), and opposite signs of the slope are observed according to the sign of VG, revealing electron and hole characteristics of the LMO under positive and negative gate voltages, respectively. However, the values of carrier density deduced at 2 K are generally much larger than the nominal doping concentration23,28,30,31, although the sign of the slope of ρxy at low temperature is correct in our study, where the Hall carrier density of doped LMO achieved at ±3 V corresponds to roughly one electron or hole per Mn site. The abnormally large Hall carrier density of manganites is well documented in the existing literature23,28,30,31, but its mechanism remains unexplained. For instance, nominal chemically doped La1−xAxMnO3 thin films with ~0.1e per Mn always exhibit roughly one, or even more, electrons or holes per Mn site in Hall measurements at ~ 2 K. Nevertheless, a linear modulation of carrier density per Mn is confirmed. As shown in Fig. 2d, the Hall carrier density, which was estimated based on the normal Hall resistance regime of ρxy, shows that the gating effect on carriers is roughly symmetric on both sides. Although the doping effect is often found to be asymmetric due to the difference in the size of the positive and negative ions in the liquid, the capacitance for electron-doped and hole-doping can also be symmetric in some cases34,35.

### Ambipolar ferromagnetism

The realization of ambipolar ferromagnetism is further confirmed by the variation of studies of sheet resistance RS as a function of temperature for various gate voltages. Figure 3a, b show the RS vs. temperature curves of the 3 uc LMO under positive or negative VG. By increasing the negative VG (hole accumulation, Fig. 3a), the RS vs temperature curves exhibit a metal–insulator transition (MIT) with a resistivity peak at a temperature TP, accompanying the decrease of resistivity. The same trend is observed when VG is positive (electron accumulation, Fig. 3b). Below TP, electron-doped and hole-doped LMO both exhibit metallic behavior. The sheet resistance of our samples are quantitatively consistent with the resistance quantum (h/e2 = 25.8 kΩ), and the well-documented MIT in manganite. In the temperature regime above the MIT, the system is non-magnetic and enters a semiconducting state. This is consistent with all understood cases with a resistance greater than h/e2. In the temperature regime near and below the MIT, the resistivity of our sample is quantitatively consistent with the well-documented resistivity of manganite materials. For example, the resistivity of our samples at the peak temperature is ~10−1 to 10−2 Ωcm, showing the same value as the reported resistivity at the peak temperature TP22,36. Furthermore, TP in both electron-doped and hole-doped regimes increases upon applying a 9 Tesla magnetic field (Fig. 3c, d), and colossal magnetoresistance (CMR) is observed. The field-induced increase of TP resembles that of all other chemically doped ferromagnetic manganites, proving that the ferromagnetic metallic state induced by both positive and negative gating lies within LMO films, rather than at the surface of the STO substrate37.

### Electron–hole asymmetry

Strikingly, the doping dependence of TP for electron doping is less sensitive than that for hole doping. Figure 4a presents a contour plot of normalized sheet resistance (RS(T)/RTp) vs temperature and VG. The contour plot shows that TP increases asymmetrically for positive and negative gating. Figure 4b summarizes the data on TP as a function of VG, demonstrating the electron–hole asymmetry of the CMR, and of the ferromagnetic ordering temperature. The electron–hole asymmetry is further confirmed by the asymmetric magnitude and characteristic temperature of the temperature-dependent magnetoresistance (MR), defined as (R(H)−R(0))/R(0) (%), for electron-doped and hole-doped LMO film (Fig. 4c).

### Density functional theory calculations

First-principles density function theory (DFT) calculations were employed to understand the origin of the asymmetric ambipolar ferromagnetism (see Supplementary Note 6 for details). The magnetism in LMO can be described by an isotropic exchange Hamiltonian, $$H = - \mathop {\sum }\limits_{ < ij > } J_{ij}S_i.S_j$$, where Jij is the exchange interaction between neighboring Mn ions with localized spin moments Si and Sj. The intra-plane and inter-plane exchange interactions have different values. The interplay of intra-plane Jab and inter-plane Jc determines overall magnetic ordering (Supplementary Note 6). In fully relaxed bulk LMO, the intra-plane exchange Jab is ferromagnetic, whereas the inter-plane exchange Jc is antiferromagnetic, which leads to the A-type antiferromagnetic ordering38. In the biaxially strained epitaxial films, we find that both exchange interactions are ferromagnetic, which results in overall ferromagnetic ordering. In the mean-field approximation, the strength of ferromagnetism is determined by the sum of the exchange parameters, J = Jc + Jab. We find that J increases with both electron and hole doping (Fig. 4d), which is largely due to the increasing ferromagnetic inter-plane exchange Jc (see Supplementary Figure 6g). The asymmetry between electron and hole doping is caused by the intra-plane exchange Jab, which increases with hole doping but decreases with electron doping (see Supplementary Figure 6g). The results for the exchange coupling J (Fig. 4d) indicate that the enhancement of ferromagnetism is more sensitive to the hole doping than to the electron doping, which is consistent with the experimental results for the ferromagnetic ordering temperature (Fig. 4b).

The effect of doping on the exchange parameters can be traced to the change in orbital overlap due to the Jahn–Teller distortions39. The Jahn–Teller effect leads Mn3+ ions bonded to oxygen to have one longer bond, bl, and one shorter bond, bs. The ratio of bl/bs represents the extent of the distortion. As shown in Fig. 4d, upon electron or hole doping, the distortion is reduced compared the undoped system since Mn2+ and Mn4+ are not Jahn–Teller ions, causing Mn–O bonds to become more symmetric. This enhances ferromagnetism of LMO due to the increased contribution from ferromagnetic exchange between quarter-filled eg orbitals and the decreased contribution from antiferromagnetic super-exchange between half-filled t2g orbitals39. The enhancement of ferromagnetism with electron or hole doping is consistent with experimental40,41 and theoretical42,43 results for the chemically doped LMO.

### Discussion

Furthermore, it should be noted that the creation of the electron-doped ferromagnetic manganite was not obvious, being a challenging fundamental question full of controversy. Generally, the chemically doped n-type manganite always showed impurity phase and p-type behavior, and the conventional double or superexchange in electron-gated systems does not lead to ferromagnetism. Examples are La1−xCexMnO323,44,45, La1−xSbxMnO346, and La1−xTexMnO347 etc, which always show impurity phase and p-type behavior. In addition, the conventional double-exchange/super-exchange in electron-gated systems does not lead to ferromagnetism, we therefore believe that the ambipolar ferromagnetic in manganite is unexpected in a hard doping situation. In addition, since there is no report on the AHE in electron-doped manganites yet, our observation completes the electron-doped region of the phase diagram of manganite thin film.

In conclusion, we have induced ambipolar ferromagnetism with a Curie temperature greater than 100 K in ultrathin films of LMO by bipolar gating. We found that the electrostatic doping of this material with either electrons or holes strengthens the ferromagnetic order in this compound, with a pronounced electron–hole asymmetry seen in the insulator-to-metal transition as well as the CMR effect. The ambipolar ferromagnet is a missing link between spintronics and semiconductor physics. Electric control of the charge of spin-polarized carriers offers an opportunity for future bipolar magnetic technology in strongly correlated electron systems.

## Methods

### Device fabrication

Three uc-thick LMO films were grown on TiO2-terminated STO (001) at 750 °C using pulsed laser deposition in an oxygen pressure of 10−2 mbar. The LMO growth is layer-by-layer and was monitored by in situ reflection high energy electron diffraction. After deposition, all samples were cooled down to room temperature in oxygen at the deposition pressure. The laser pulse (248 nm) energy density was 1.8 J cm−2 and the repetition rate was 1 Hz. Subsequently, the film was patterned into a Hall bar using photolithography.

### Electrical measurements

Carrier doping was realized by applying gate voltages (VG) on the double-layer capacitor formed by the ionic liquid. The ionic liquid used in the experiment was a small droplet of [N-diethyl-N-methyl-N-(2-methoxyethyl) ammonium bis (trifluoromethyl sulphonyl) imide] covering both the conducting channel and the gate electrode. The leakage current was less than 1 nA at a gate bias of VG = ± 3 V. The electrical resistivity of the gated LMO films was measured using a Quantum Design Physical Property Measurement System (PPMS), a Keithley 2400 source measurement unit, and a Keithley 2182 nanovoltmeter from 300 K to 2 K in a magnetic field of 9 Tesla. Gate voltages were applied at 300 K between ionic liquid and LMO thin film to inject electrons or holes in LMO films, and the desired gate voltage was maintained throughout the whole transport measurement. Figure 4a is a re-plot of the data shown in Fig. 3a, b in MatLab using three standard plotting functions, namely Delaunay, trisurf, and shading. No manual averaging was done on the date and the horizontal stripes in Fig. 4a are generated due to the noise in resistance values in the raw data.

### STEM measurements

High-resolution cross-section STEM–HAADF imaging and EELS were performed using the JEOL-ARM200F microscope equipped with ASCOR aberration corrector and cold-field emission gun and operated at 200 kV. The cross-section TEM sample was prepared by focused ion beam with 30 kV Ga ions, followed by a 2 kV low voltage cleaning step. The HAADF images were acquired with a probe-forming aperture of 30 mrad and collection angle of 68–280 mrad. All HAADF images were filtered by radial Wiener filters. EELS spectra were recorded using a Gatan Quantum ER spectrometer with a 0.25 eV/channel energy dispersion.

### DFT calculations

Theoretical modeling of the orthorhombic Pbnm LMO was performed using density functional theory, the projected augmented wave method, and PBEsol pseudopotentials, as implemented in the Vienna ab initio simulation package. Internal coordinates were fully relaxed, assuming an experimental lattice constant of LMO and using the force convergence limit of 1 meV/atom. Correlation effects beyond generalized gradient approximation (GGA) were treated at a semi-empirical GGA + U level within a rotationally invariant formalism with U = 5 eV for the Mn 3d-orbitals.

### Data availability

The authors declare that all other relevant data supporting the findings of the study are available in this article and in its Supplementary Information file. Access to our raw data can be obtained from the corresponding author upon reasonable request.

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## Acknowledgements

L.M.Z., W.M.L., and W.W.C. acknowledges supports from the National Science Foundation of China (No. 51602080 and 51572055), the National Key Basic Research Program of China (No. 2103CB632900) and PIRS of HIT (No. 201625). X.R.W. acknowledges supports from the Nanyang Assistant Professorship grant from Nanyang Technological University and Academic Research Fund Tier 1 (RG108/17S) from Singapore Ministry of Education. C.J.L. acknowledges the financial support from the Lee Kuan Yew Postdoctoral Fellowship through the Singapore Ministry of Education Academic Research Fund Tier 1 (R-284-000-158-114). J.M.D.C. acknowledges supports from China 1000 Foreign Talents Program and from Science Foundation Ireland, Grant 16/IA/4534. Z.H.C. acknowledges support from the National Science Foundation under grant DMR-1608938. L.W.M. acknowledges support from the Gordon and Betty Moore Foundation’s EPiQS Initiative, under grant GBMF5307. The research at the University of Nebraska-Lincoln is supported by the National Science Foundation through the Nebraska Materials Research Science and Engineering Center (NSF Grant No. DMR-1420645). Z.Q.L. acknowledges support from the National Science Foundation of China (NSFC Grant No. 11704018). The electron microscopy performed at ORNL (S.Z.Y. and M.F.C.) was supported by the U.S. Department of Energy’s, Office of Science, Basic Energy Sciences, Materials Sciences and Engineering Division. The electron microscopy (S.J.P., M.S.L., and C.J.L.) is supported by the National University of Singapore. This research used resources of the National Energy Research Scientific Computing Center, a DOE Office of Science User Facility supported by the Office of Science of the U.S. Department of Energy under Contract No. DE-AC02-05CH11231. This work used the Extreme Science and Engineering Discovery Environment (XSEDE), which is supported by National Science Foundation grant number ACI-1053575 and Grant No DMR160118.

## Author information

X.R.W., W.M.L., and J.M.D.C. planned and supervised the research. L.M.Z. and W.M.L. performed sample fabrication and measurements. C.J.L., M.S.L., and S.J.P. performed STEM measurements. T.R.P. and E.Y.T. performed theoretical modeling. All authors contributed to the discussion and interpretation of the results. X.R.W., W. M. L., and J.M.D.C. wrote the manuscript with help from all other authors.

Correspondence to X. Renshaw Wang or W. M. Lü.

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Zheng, L.M., Wang, X.R., Lü, W.M. et al. Ambipolar ferromagnetism by electrostatic doping of a manganite. Nat Commun 9, 1897 (2018) doi:10.1038/s41467-018-04233-5

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