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Ferroelectric and spontaneous quantum Hall states in intrinsic rhombohedral trilayer graphene
Bilayer graphene is known to host states where interactions dominate the electronic behaviour. Now, transport measurements show that this is also true for trilayer graphene and give evidence for ferroelectric states and states with high Chern number.
- Felix Winterer
- , Fabian R. Geisenhof
- & R. Thomas Weitz
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Matters Arising |
Clarification of braiding statistics in Fabry–Perot interferometry
- Nicholas Read
- & Sankar Das Sarma
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Article |
Hofstadter states and re-entrant charge order in a semiconductor moiré lattice
The interplay between flat and dispersive bands in moiré materials has not yet been examined in detail. Now, the phase diagram of a transition metal dichalcogenide bilayer shows correlated states arising from both types of band.
- Carlos R. Kometter
- , Jiachen Yu
- & Benjamin E. Feldman
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News & Views |
A good tip
Non-perturbing spectroscopy allows the observation of fragile fractional quantum Hall states and broken symmetries in graphene with atomic precision.
- En-Min Shih
- & Marlou R. Slot
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Article |
Broken symmetries and excitation spectra of interacting electrons in partially filled Landau levels
A scanning tunnelling microscopy technique that minimally perturbs the sample quantifies the interacting phase diagram of the zeroth Landau level in monolayer graphene.
- Gelareh Farahi
- , Cheng-Li Chiu
- & Ali Yazdani
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Article |
Nanoscale electrostatic control in ultraclean van der Waals heterostructures by local anodic oxidation of graphite gates
Precise control of electrons in two-dimensional materials has been limited by fabrication techniques for local gates that introduce disorder. Now, a technique allows patterning of sub-100 nm features and fabrication of very clean interfaces.
- Liam A. Cohen
- , Noah L. Samuelson
- & Andrea F. Young
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Article |
A highly correlated topological bubble phase of composite fermions
Composite fermions emerge in the fractional quantum Hall effect. Now, it has been shown that these objects can group into bubbles and that these can order into a lattice.
- Vidhi Shingla
- , Haoyun Huang
- & Gábor A. Csáthy
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Article |
Anyonic interference and braiding phase in a Mach-Zehnder interferometer
In two-dimensional systems, swapping the position of two indistinguishable particles twice—braiding them—reveals their exchange statistics. Now, a Mach–Zehnder interferometer accomplishes this for anyonic fractional quantum Hall states.
- Hemanta Kumar Kundu
- , Sourav Biswas
- & Moty Heiblum
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Letter |
Laughlin charge pumping in a quantum anomalous Hall insulator
Quantized charge pumping is a hallmark of topological phases. Now, this effect is observed in the quantum anomalous Hall regime.
- Minoru Kawamura
- , Masataka Mogi
- & Yoshinori Tokura
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Article |
Quantized fractional Thouless pumping of solitons
Interactions between photons arise due to the presence of optical nonlinearities. In topological Thouless pumps, a sufficiently strong nonlinearity leads to soliton transport with a fractionally quantized plateau structure—reminiscent of transport in the fractional quantum Hall effect.
- Marius Jürgensen
- , Sebabrata Mukherjee
- & Mikael C. Rechtsman
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Letter |
Direct determination of the topological thermal conductance via local power measurement
Careful thermal transport measurements identify the topological nature of transverse thermal conductance in the fractional quantum Hall regime.
- Ron Aharon Melcer
- , Sofia Konyzheva
- & Vladimir Umansky
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Article |
Shot noise does not always provide the quasiparticle charge
Shot noise has traditionally been used to measure the charge of quasiparticles in a variety of mesoscopic systems. However, at sufficiently low temperatures, this usual notion tends to break down for fractional quantum Hall effect states.
- Sourav Biswas
- , Rajarshi Bhattacharyya
- & Yuval Gefen
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Article |
Chern mosaic and Berry-curvature magnetism in magic-angle graphene
Topological states characterized by Chern numbers are usually considered to be the global properties of a material. Now a spatial patchwork of different Chern insulator states is imaged in twisted bilayer graphene.
- Sameer Grover
- , Matan Bocarsly
- & Eli Zeldov
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Letter |
Berry curvature dipole senses topological transition in a moiré superlattice
Transport experiments highlight a technique to detect transitions in the topological state of two-dimensional materials, with possible applications in memory devices.
- Subhajit Sinha
- , Pratap Chandra Adak
- & Mandar M. Deshmukh
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Article |
Correlated Hofstadter spectrum and flavour phase diagram in magic-angle twisted bilayer graphene
In graphene, the spin and valley degrees of freedom combine into a higher-order isospin. Now, a full map of the phase diagram of this isospin is measured in the moiré bands of twisted bilayer graphene.
- Jiachen Yu
- , Benjamin A. Foutty
- & Benjamin E. Feldman
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Letter |
Broken-symmetry states at half-integer band fillings in twisted bilayer graphene
Correlated insulating states are common in twisted bilayer graphene when the density of carriers is close to an integer per moiré unit cell. Now, such states emerge at half-integer fillings and show signs of being spin or charge density waves.
- Saisab Bhowmik
- , Bhaskar Ghawri
- & U. Chandni
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Letter |
Experimental signature of the parity anomaly in a semi-magnetic topological insulator
An electron with a linear dispersion relation should contribute half of a quantum of Hall conductance and thereby manifest the parity anomaly. This is demonstrated in a heterostructure of topological insulator materials.
- M. Mogi
- , Y. Okamura
- & Y. Tokura
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News & Views |
To measure a magnon population
Magnons are collective spin excitations that can propagate over long distances — an attractive trait for information-transfer technologies — but we need to better understand their thermodynamic properties. A platform using graphene may hold the key.
- Matteo Carrega
- & Stefan Heun
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Letter |
Quantum anomalous Hall effect with a permanent magnet defines a quantum resistance standard
Accurate measurements of the ohm require high magnetic fields to support the quantum Hall effect. Now, high precision is achieved by using the quantum anomalous Hall effect in a low magnetic field, making the measurement much more accessible.
- Yuma Okazaki
- , Takehiko Oe
- & Nobu-Hisa Kaneko
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Letter
| Open AccessThermodynamics of free and bound magnons in graphene
Although magnons in the quantum Hall regime of graphene have been detected, their thermodynamic properties have not yet been measured. Now, a local probe technique enables the detection of the magnon density and chemical potential.
- Andrew T. Pierce
- , Yonglong Xie
- & Amir Yacoby
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Letter |
Excitonic nature of magnons in a quantum Hall ferromagnet
Propagating spin waves known as magnons are expected to carry a dipole moment in the quantum Hall regime. Now, this moment has been detected, demonstrating that the degrees of freedom of spin and charge are entangled in quantum Hall magnons.
- A. Assouline
- , M. Jo
- & P. Roulleau
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Perspective |
Charge order and superconductivity in kagome materials
Superconductivity and ordered states formed by interactions—both of which could be unconventional—have recently been observed in a family of kagome materials.
- Titus Neupert
- , M. Michael Denner
- & M. Zahid Hasan
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News & Views |
Braided anyons
The properties of anyons — two-dimensional particles that are neither fermions nor bosons — have been directly measured in a quantum Hall interferometer.
- Rui-Rui Du
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Article |
Direct observation of anyonic braiding statistics
An interferometer device is used to detect the quantum-mechanical phase that is gained when two anyons are braided around each other. The fractional value of the phase proves that these quasiparticles are neither bosons nor fermions.
- J. Nakamura
- , S. Liang
- & M. J. Manfra
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Letter |
Bloch ferromagnetism of composite fermions
Composite fermions can be tuned to very low effective density in a clean two-dimensional electron gas, which allows the formation of a Bloch ferromagnet.
- Md Shafayat Hossain
- , Tongzhou Zhao
- & M. Shayegan
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Letter |
High-temperature quantum anomalous Hall regime in a MnBi2Te4/Bi2Te3 superlattice
A three-dimensional topological magnetic superlattice structure exhibits the quantum anomalous Hall effect when the Fermi energy is tuned into the correct energy window.
- Haiming Deng
- , Zhiyi Chen
- & Lia Krusin-Elbaum
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Letter |
Fragility of time-reversal symmetry protected topological phases
When a quantum system couples with its surroundings, macroscopic irreversibility emerges even though the microscopic Hamiltonian is itself time-reversal symmetric, causing the phenomena associated with certain symmetry-protected topological phases to be unstable.
- Max McGinley
- & Nigel R. Cooper
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Letter |
Spin phase diagram of the interacting quantum Hall liquid
The spin polarization of a quantum Hall system is determined by a spin-resolved tunnelling method. This technique shows a substantial regime where the weakly interacting composite fermion picture is not valid.
- H. M. Yoo
- , K. W. Baldwin
- & R. C. Ashoori
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Letter |
Probing chiral edge dynamics and bulk topology of a synthetic Hall system
The quantum Hall effect is realized in a two-dimensional quantum gas system consisting of one spatial dimension and one synthetic dimension encoded in the atomic spin. Measurements show distinct bulk properties rooted in the topological structure.
- Thomas Chalopin
- , Tanish Satoor
- & Sylvain Nascimbene
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Perspective |
Superconductivity and strong correlations in moiré flat bands
The identification of superconductivity and strong interactions in twisted bilayer 2D materials prompted many questions about the interplay of these phenomena. This Perspective presents the status of the field and the urgent issues for future study.
- Leon Balents
- , Cory R. Dean
- & Andrea F. Young
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Article |
Interference of chiral Andreev edge states
The interface between a quantum Hall state and a superconductor hosts topological modes. Here, interference between two such modes turns an electron into either a hole or an electron depending on the phase difference along the interference path.
- Lingfei Zhao
- , Ethan G. Arnault
- & Gleb Finkelstein
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Letter |
Nanoscale imaging of equilibrium quantum Hall edge currents and of the magnetic monopole response in graphene
The microscopic quantum Hall edge currents and the equilibrium currents that generate the mirror magnetic monopoles in time-reversal-symmetry-broken topological matter are directly imaged in the quantum Hall state in graphene by using a SQUID-on-tip.
- Aviram Uri
- , Youngwook Kim
- & Eli Zeldov
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Letter |
Solids of quantum Hall skyrmions in graphene
The authors use spin waves to demonstrate that charged quantum Hall skyrmions exist away from integer filling. They also see evidence of several fractional skyrmion states.
- H. Zhou
- , H. Polshyn
- & A. F. Young
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Article |
Enhanced thermal Hall effect in the square-lattice Néel state
The remarkably large thermal Hall response recently observed in the copper oxides challenges our understanding of the excitations in an insulating antiferromagnet. Here, a possible explanation of the underlying physics is provided.
- Rhine Samajdar
- , Mathias S. Scheurer
- & Subir Sachdev
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News & Views |
Next-level composite fermions
A rich pattern of fractional quantum Hall states in graphene double layers can be naturally explained in terms of two-component composite fermions carrying both intra- and interlayer vortices.
- Gábor A. Csáthy
- & Jainendra K. Jain
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Letter |
Pairing states of composite fermions in double-layer graphene
It is shown that composite fermions in the fractional quantum Hall regime form paired states in double-layer graphene. Pairing between layers gives a phase similar to an exciton condensate and pairing within a layer may lead to non-abelian states.
- J. I. A. Li
- , Q. Shi
- & C. R. Dean
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Letter |
Interlayer fractional quantum Hall effect in a coupled graphene double layer
Transport data reveal interlayer composite fermion fractional quantum Hall states in double-layer graphene. The authors also show that these can pair up to form an interlayer composite fermion exciton condensate.
- Xiaomeng Liu
- , Zeyu Hao
- & Philip Kim
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News & Views |
Fractional oscillations
An electrical interferometer device has detected interference patterns that suggest anyons could be conclusively demonstrated in the near future.
- Steven H. Simon
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Letter |
Acoustic Landau quantization and quantum-Hall-like edge states
A graphene-like two-dimensional sonic crystal, under uniaxial deformation, experiences a giant uniform pseudomagnetic field. This leads to the quantization of the cyclotron orbits—a kind of acoustic Landau level—that is observed here.
- Xinhua Wen
- , Chunyin Qiu
- & Zhengyou Liu
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Article |
Aharonov–Bohm interference of fractional quantum Hall edge modes
An interferometer device demonstrates the interference of fractional quantum Hall effect edge states. This is a big step towards braiding non-Abelian anyons.
- J. Nakamura
- , S. Fallahi
- & M. J. Manfra
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Letter |
Dimensional reduction, quantum Hall effect and layer parity in graphite films
The quantum Hall effect is thought to exist only in two-dimensional materials. Here, transport measurements show that thin graphite slabs have a 2.5-dimensional version, with a parity effect for samples with odd and even number of layers.
- Jun Yin
- , Sergey Slizovskiy
- & Artem Mishchenko
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Article |
Magneto-transport controlled by Landau polariton states
A polariton is a hybrid excitation resulting from strong light–matter coupling. The magneto-transport measurements have now revealed the crucial role played by its electronic component.
- Gian L. Paravicini-Bagliani
- , Felice Appugliese
- & Jérôme Faist
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Letter |
Even denominator fractional quantum Hall states in higher Landau levels of graphene
New fractional quantum Hall states are observed in a higher Landau level in graphene. Calculations indicate that a non-Abelian parton state is the most likely candidate state, which has implications for topological quantum computation.
- Youngwook Kim
- , Ajit C. Balram
- & Jurgen H. Smet
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Article |
Even-denominator fractional quantum Hall states at an isospin transition in monolayer graphene
Quantum Hall states are observed in monolayer graphene at even-denominator fractional filling of the lowest Landau level. This is linked to transitions in the spin and valley structure of the ground state.
- A. A. Zibrov
- , E. M. Spanton
- & A. F. Young