Abstract
The single-particle energy spectrum of a two-dimensional electron gas in a perpendicular magnetic field consists of equally spaced energy states, known as Landau levels. Each level is split owing to spin interactions, and its degeneracy is proportional to the magnetic field strength. When the ratio, ν (or ‘filling factor’), of the number of electrons and the degeneracy of a Landau level takes an integer or particular fractional values, quantum Hall effects1 occur, characterized by a vanishingly small longitudinal resistance and a quantized (transverse) Hall voltage2. The quantum Hall regime may be used for the controlled study of many-particle cooperative phenomena, such as order–disorder phase transitions (analogous to those observed in conventional magnets). Both isotropic and anisotropic ferromagnetic ground states have been predicted3,4,5,6,7,8 to occur in the quantum Hall regime, some of which have been investigated experimentally9,10,11,12,13 in samples with different geometries and filling factors. Here we report evidence for first-order phase transitions in quantum Hall states (ν = 2,4) confined to a wide gallium arsenide quantum well. We observe hysteresis and an anomalous temperature dependence in the longitudinal resistivity, indicative of a transition between two distinct ground states of an Ising quantum Hall ferromagnet. The microscopic origin of the anisotropy field is identified using detailed many-body calculations.
This is a preview of subscription content, access via your institution
Access options
Subscribe to this journal
Receive 51 print issues and online access
$199.00 per year
only $3.90 per issue
Buy this article
- Purchase on Springer Link
- Instant access to full article PDF
Prices may be subject to local taxes which are calculated during checkout
Similar content being viewed by others
References
Prange,R. E. & Girvin,S. M. (eds) The Quantum Hall Effect, 2nd edn (Springer, New York, 1990).
Das Sarma,S. & Pinczuk,A. (eds) Perspectives in Quantum Hall Effects (Wiley, New York, 1996).
Girvin,S. M. & MacDonald,A. H. in Perspectives in Quantum Hall Effects (eds Das Sama, S. & Pinczuk, A.) 161–224 (Wiley, New York, 1996).
Giuliani,G. F. & Quinn,J. J. Spin-polarization instability in a tilted magnetic field of a two-dimensional electron gas with filled Landau levels. Phys. Rev. B 31, 6228–6232 (1985).
Jungwirth,T., Shukla,S. P., Smrčka,L., Shayegan,M. & MacDonald,A. H. Magnetic anisotropy in quantum Hall ferromagnets. Phys. Rev. Lett. 81, 2328–2331 (1998).
Zheng,L., Radtke,R. J. & Das Sarma,S. Spin-excitation-instability-induced quantum phase transitions in double-layer quantum Hall systems. Phys. Rev. Lett. 78, 2453–2456 (1997).
Das Sarma,S., Sachdev,S. & Zheng,L. Double-layer quantum Hall antiferromagnetism at filling fraction ν = 2/m where m is an odd integer. Phys. Rev. Lett. 79, 917–920 (1997).
MacDonald,A. H., Rajaraman,R. & Jungwirth,T. Broken symmetry ground states in ν = 2 bilayer quantum Hall systems. Phys. Rev. B 60, 8817–8826 (1999).
Eisenstein,J. P. Perspectives in Quantum Hall Effects (eds Das Sarma, S. & Pinczuk, A.) 58–70 (Wiley, New York, 1996).
Daneshvar,A. J. et al. Magnetisation instability in a two-dimensional system. Phys. Rev. Lett. 79, 4449–4452 (1997).
Pellegrini,V. et al. Collapse of spin excitations in quantum Hall states of coupled electron double layers. Phys. Rev. Lett. 78, 310–313 (1997).
Pellegrini,V. et al. Evidence of soft-mode quantum phase transitions in electron double layers. Science 281, 799–802 (1998).
Sawada,A. et al. Phase transition in the ν = 2 bilayer quantum Hall state. Phys. Rev. Lett. 80, 4534–4537 (1998).
Sachdev,S. Quantum Phase Transitions (Cambridge Univ. Press, 1999).
Sondhi,S. L., Girvin,S. M., Carini,J. P. & Shahar,D. Continuous quantum phase transitions. Rev. Mod. Phys. 69, 315–333 (1997).
MacDonald,A. H., Platzman,P. M. & Boebinger,G. S. Collapse of integer Hall gaps in a double-quantum-well system. Phys. Rev. Lett. 65, 775–778 (1990).
Cho,H. et al. Hysteresis and spin transitions in the fractional quantum Hall effect. Phys. Rev. Lett. 81, 2522–2525 (1998).
Acknowledgements
We thank M. Bichler for technical support during sample growth, and G. F. Giuliani for discussions. The work at Scuola Normale Superiore was funded in part by MURST. The work at Indiana University was supported by the NSF, and at Institute of Physics ASCR by the Ministry of Education of the Czech Republic and the Grant Agency of the Czech Republic.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Piazza, V., Pellegrini, V., Beltram, F. et al. First-order phase transitions in a quantum Hall ferromagnet. Nature 402, 638–641 (1999). https://doi.org/10.1038/45189
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1038/45189
This article is cited by
-
Valley-filling instability and critical magnetic field for interaction-enhanced Zeeman response in doped WSe2 monolayers
npj Computational Materials (2021)
-
Role of chiral quantum Hall edge states in nuclear spin polarization
Nature Communications (2017)
-
Strong electronic interaction and multiple quantum Hall ferromagnetic phases in trilayer graphene
Nature Communications (2017)
-
Density-controlled quantum Hall ferromagnetic transition in a two-dimensional hole system
Scientific Reports (2017)
-
Magnetic properties of mixed spins Ising model on the two alternative layers within the Monte Carlo simulations
Indian Journal of Physics (2017)
Comments
By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.