Landau-Level Mixing and Particle-Hole Symmetry Breaking for Spin Transitions in the Fractional Quantum Hall Effect
Abstract
Here, the spin transitions in the fractional quantum Hall effect provide a direct measure of the tiny energy differences between differently spin-polarized states, and thereby serve as an extremely sen- sitive test of the quantitative accuracy of the theory of the fractional quantum Hall effect, and, in particular, of the role of Landau-level mixing in lifting the particle-hole symmetry. We report on an accurate quantitative study of this physics, evaluating the effect of Landau-level mixing in a nonperturbative manner using a fixed-phase diffusion Monte Carlo method. We find excellent agree- ment between our calculated critical Zeeman energies and the experimentally measured values. In particular, we find, as also do experiments, that the critical Zeeman energies for fractional quantum Hall states at filling factors ν = 2–n/(2n±1) are significantly higher than those for ν = n/(2n±1), a quantitative signature of the lifting of particle-hole symmetry due to Landau-level mixing.
- Authors:
-
- The Pennsylvania State Univ., University Park, PA (United States)
- Wroclaw Univ. of Technology, Wroclaw (Poland)
- The Pennsylvania State Univ., University Park, PA (United States); Indian Institute of Science, Bengaluru (India)
- Publication Date:
- Research Org.:
- Pennsylvania State Univ., University Park, PA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1489118
- Alternate Identifier(s):
- OSTI ID: 1322437
- Grant/Contract Number:
- SC0005042
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 117; Journal Issue: 11; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; fractional quantum Hall effect; composite fermions; spin polarization
Citation Formats
Zhang, Yuhe, Wójs, A., and Jain, J. K. Landau-Level Mixing and Particle-Hole Symmetry Breaking for Spin Transitions in the Fractional Quantum Hall Effect. United States: N. p., 2016.
Web. doi:10.1103/PhysRevLett.117.116803.
Zhang, Yuhe, Wójs, A., & Jain, J. K. Landau-Level Mixing and Particle-Hole Symmetry Breaking for Spin Transitions in the Fractional Quantum Hall Effect. United States. https://doi.org/10.1103/PhysRevLett.117.116803
Zhang, Yuhe, Wójs, A., and Jain, J. K. Thu .
"Landau-Level Mixing and Particle-Hole Symmetry Breaking for Spin Transitions in the Fractional Quantum Hall Effect". United States. https://doi.org/10.1103/PhysRevLett.117.116803. https://www.osti.gov/servlets/purl/1489118.
@article{osti_1489118,
title = {Landau-Level Mixing and Particle-Hole Symmetry Breaking for Spin Transitions in the Fractional Quantum Hall Effect},
author = {Zhang, Yuhe and Wójs, A. and Jain, J. K.},
abstractNote = {Here, the spin transitions in the fractional quantum Hall effect provide a direct measure of the tiny energy differences between differently spin-polarized states, and thereby serve as an extremely sen- sitive test of the quantitative accuracy of the theory of the fractional quantum Hall effect, and, in particular, of the role of Landau-level mixing in lifting the particle-hole symmetry. We report on an accurate quantitative study of this physics, evaluating the effect of Landau-level mixing in a nonperturbative manner using a fixed-phase diffusion Monte Carlo method. We find excellent agree- ment between our calculated critical Zeeman energies and the experimentally measured values. In particular, we find, as also do experiments, that the critical Zeeman energies for fractional quantum Hall states at filling factors ν = 2–n/(2n±1) are significantly higher than those for ν = n/(2n±1), a quantitative signature of the lifting of particle-hole symmetry due to Landau-level mixing.},
doi = {10.1103/PhysRevLett.117.116803},
journal = {Physical Review Letters},
number = 11,
volume = 117,
place = {United States},
year = {Thu Sep 08 00:00:00 EDT 2016},
month = {Thu Sep 08 00:00:00 EDT 2016}
}
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Figures / Tables:
FIG. 1.: The theoretical critical Zeeman energies αcritZ = EcritZ/(e2/ϵl) for ν = 2/5 (left), 3/7 (middle), 4/9 (right) are shown with empty symbols with error bars, calculated from both DMC (solid line) and VMC (dashed line) methods, for an ideal 2D system (w = 0), quantum wells with widthsmore »
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Works referenced in this record:
Is the Composite Fermion a Dirac Particle?
journal, September 2015
- Son, Dam Thanh
- Physical Review X, Vol. 5, Issue 3
New stochastic method for systems with broken time-reversal symmetry: 2D fermions in a magnetic field
journal, October 1993
- Ortiz, G.; Ceperley, D. M.; Martin, R. M.
- Physical Review Letters, Vol. 71, Issue 17
Fractional Quantum Hall Phase Transitions and Four-Flux States in Graphene
journal, August 2013
- Feldman, Benjamin E.; Levin, Andrei J.; Krauss, Benjamin
- Physical Review Letters, Vol. 111, Issue 7
New Phase Transition between Partially and Fully Polarized Quantum Hall States with Charge and Spin Gaps at
journal, September 2001
- Freytag, N.; Tokunaga, Y.; Horvatić, M.
- Physical Review Letters, Vol. 87, Issue 13
Unraveling the Spin Polarization of the = 5/2 Fractional Quantum Hall State
journal, January 2012
- Tiemann, L.; Gamez, G.; Kumada, N.
- Science, Vol. 335, Issue 6070
Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid States
journal, August 1983
- Haldane, F. D. M.
- Physical Review Letters, Vol. 51, Issue 7
Quantum Monte Carlo simulations of solids
journal, January 2001
- Foulkes, W. M. C.; Mitas, L.; Needs, R. J.
- Reviews of Modern Physics, Vol. 73, Issue 1
Phase Diagram of the Spin Polarization of Composite Fermions and a New Effective Mass
journal, May 1998
- Park, K.; Jain, J. K.
- Physical Review Letters, Vol. 80, Issue 19
Evidence for a spin transition in the ν=2/3 fractional quantum Hall effect
journal, April 1990
- Eisenstein, J. P.; Stormer, H. L.; Pfeiffer, L. N.
- Physical Review B, Vol. 41, Issue 11
Cooper pairing in non-Fermi liquids
journal, March 2015
- Metlitski, Max A.; Mross, David F.; Sachdev, Subir
- Physical Review B, Vol. 91, Issue 11
Fractional quantum Hall effect in graphene: Quantitative comparison between theory and experiment
journal, August 2015
- Balram, Ajit C.; Tőke, Csaba; Wójs, A.
- Physical Review B, Vol. 92, Issue 7
Fractional quantum Hall liquid, Wigner solid phase boundary at finite density and magnetic field
journal, January 1993
- Price, Rodney; Platzman, P. M.; He, Song
- Physical Review Letters, Vol. 70, Issue 3
Fractional Quantum Hall Effect around : Composite Fermions with a Spin
journal, November 1995
- Du, R. R.; Yeh, A. S.; Stormer, H. L.
- Physical Review Letters, Vol. 75, Issue 21
Fixed‐node quantum Monte Carlo for molecules a) b)
journal, December 1982
- Reynolds, Peter J.; Ceperley, David M.; Alder, Berni J.
- The Journal of Chemical Physics, Vol. 77, Issue 11
Spontaneous Magnetization of Composite Fermions
journal, December 1999
- Park, K.; Jain, J. K.
- Physical Review Letters, Vol. 83, Issue 26
Mirror symmetry and the half-filled Landau level
journal, December 2015
- Kachru, Shamit; Mulligan, Michael; Torroba, Gonzalo
- Physical Review B, Vol. 92, Issue 23
Landau-Level Mixing and the Emergence of Pfaffian Excitations for the Fractional Quantum Hall Effect
journal, August 2010
- Wójs, Arkadiusz; Tőke, Csaba; Jain, Jainendra K.
- Physical Review Letters, Vol. 105, Issue 9
Theory of the half-filled Landau level
journal, March 1993
- Halperin, B. I.; Lee, Patrick A.; Read, Nicholas
- Physical Review B, Vol. 47, Issue 12
Effective field theory for the bulk and edge states of quantum Hall states in unpolarized single layer and bilayer systems
journal, February 2001
- Lopez, Ana; Fradkin, Eduardo
- Physical Review B, Vol. 63, Issue 8
Particle-Hole Symmetry and the Pfaffian State
journal, December 2007
- Levin, Michael; Halperin, Bertrand I.; Rosenow, Bernd
- Physical Review Letters, Vol. 99, Issue 23
Realistic calculations of correlated incompressible electronic states in GaAs- As heterostructures and quantum wells
journal, March 1997
- Ortalano, M. W.; He, Song; Das Sarma, S.
- Physical Review B, Vol. 55, Issue 12
Particle-Hole Symmetry and the Quantum Hall State
journal, December 2007
- Lee, Sung-Sik; Ryu, Shinsei; Nayak, Chetan
- Physical Review Letters, Vol. 99, Issue 23
Emergent particle-hole symmetry in the half-filled Landau level
journal, August 2016
- Mulligan, Michael; Raghu, S.; Fisher, Matthew P. A.
- Physical Review B, Vol. 94, Issue 7
Hamiltonian theory of the half-filled Landau level with disorder: Application to recent NMR data
journal, August 2007
- Murthy, Ganpathy; Shankar, R.
- Physical Review B, Vol. 76, Issue 7
Spinful composite fermions in a negative effective field
journal, June 2012
- Davenport, Simon C.; Simon, Steven H.
- Physical Review B, Vol. 85, Issue 24
Fractional Quantum Hall Effect Measurements at Zero g Factor
journal, November 1997
- Leadley, D. R.; Nicholas, R. J.; Maude, D. K.
- Physical Review Letters, Vol. 79, Issue 21
Particle-hole symmetry and the composite Fermi liquid
journal, October 2015
- Barkeshli, Maissam; Mulligan, Michael; Fisher, Matthew P. A.
- Physical Review B, Vol. 92, Issue 16
Evidence for a spin transition in the ν= fractional quantum Hall effect
journal, November 1997
- Kang, W.; Young, J. B.; Hannahs, S. T.
- Physical Review B, Vol. 56, Issue 20
Nonabelions in the fractional quantum hall effect
journal, August 1991
- Moore, Gregory; Read, Nicholas
- Nuclear Physics B, Vol. 360, Issue 2-3
Landau level mixing and the fractional quantum Hall effect
journal, June 2013
- Sodemann, I.; MacDonald, A. H.
- Physical Review B, Vol. 87, Issue 24
Quantitative study of large composite-fermion systems
journal, February 1997
- Jain, J. K.; Kamilla, R. K.
- Physical Review B, Vol. 55, Issue 8
Explicit Derivation of Duality between a Free Dirac Cone and Quantum Electrodynamics in ( ) Dimensions
journal, June 2016
- Mross, David F.; Alicea, Jason; Motrunich, Olexei I.
- Physical Review Letters, Vol. 117, Issue 1
Optical Investigation of Spin-Wave Excitations in Fractional Quantum Hall States and of Interaction between Composite Fermions
journal, October 2000
- Kukushkin, I. V.; Smet, J. H.; von Klitzing, K.
- Physical Review Letters, Vol. 85, Issue 17
Quantum Hall Fluids on the Haldane Sphere: A Diffusion Monte Carlo Study
journal, December 1997
- Melik-Alaverdian, V.; Bonesteel, N. E.; Ortiz, G.
- Physical Review Letters, Vol. 79, Issue 26
Spin Polarization of Composite Fermions: Measurements of the Fermi Energy
journal, May 1999
- Kukushkin, I. V.; v. Klitzing, K.; Eberl, K.
- Physical Review Letters, Vol. 82, Issue 18
The half-filled Landau level: The case for Dirac composite fermions
journal, April 2016
- Geraedts, S. D.; Zaletel, M. P.; Mong, R. S. K.
- Science, Vol. 352, Issue 6282
Landau level: Half-empty versus half-full
journal, February 2016
- Murthy, Ganpathy; Shankar, R.
- Physical Review B, Vol. 93, Issue 8
Maximum-density droplet to lower-density droplet transition in quantum dots
journal, July 2005
- Güçlü, A. D.; Umrigar, C. J.
- Physical Review B, Vol. 72, Issue 4
Mixed-spin incompressible states in the fractional quantum Hall effect
journal, July 1993
- Wu, X. G.; Dev, G.; Jain, J. K.
- Physical Review Letters, Vol. 71, Issue 1
Direct test of the composite-fermion model in quantum Hall systems
journal, September 1996
- Mandal, Sudhansu S.; Ravishankar, V.
- Physical Review B, Vol. 54, Issue 12
Composite Fermions in the Hilbert Space of the Lowest Electronic Landau Level
journal, September 1997
- Jain, J. K.; Kamilla, R. K.
- International Journal of Modern Physics B, Vol. 11, Issue 22
Effects of Landau Level Mixing on the Fractional Quantum Hall Effect in Monolayer Graphene
journal, August 2014
- Peterson, Michael R.; Nayak, Chetan
- Physical Review Letters, Vol. 113, Issue 8
Fractional quantum Hall effect at ν=2/3 and 3/5 in tilted magnetic fields
journal, February 1992
- Engel, L. W.; Hwang, S. W.; Sajoto, T.
- Physical Review B, Vol. 45, Issue 7
Effect of Landau level mixing on the effective interaction between electrons in the fractional quantum Hall regime
journal, September 2009
- Bishara, Waheb; Nayak, Chetan
- Physical Review B, Vol. 80, Issue 12
Effective Mass and Factor of Four-Flux-Quanta Composite Fermions
journal, January 1999
- Yeh, A. S.; Stormer, H. L.; Tsui, D. C.
- Physical Review Letters, Vol. 82, Issue 3
Evidence for a phase transition in the fractional quantum Hall effect
journal, March 1989
- Eisenstein, J. P.; Stormer, H. L.; Pfeiffer, L.
- Physical Review Letters, Vol. 62, Issue 13
Composite-fermion approach for the fractional quantum Hall effect
journal, July 1989
- Jain, J. K.
- Physical Review Letters, Vol. 63, Issue 2
Landau level mixing in the perturbative limit
journal, April 2013
- Simon, Steven H.; Rezayi, Edward H.
- Physical Review B, Vol. 87, Issue 15
More realistic Hamiltonians for the fractional quantum Hall regime in GaAs and graphene
journal, June 2013
- Peterson, Michael R.; Nayak, Chetan
- Physical Review B, Vol. 87, Issue 24
New Phase Transition between Partially and Fully Polarized Quantum Hall States with Charge and Spin Gaps at nu = (2/3)
text, January 2001
- Berthier, C.; Freytag, N.; Horvatic, M.
- The American Physical Society
Hamiltonian theory of the half-filled Landau level with disorder: Application to recent NMR data
text, January 2007
- Murthy, Ganpathy; Shankar, R.
- arXiv
Particle-hole symmetry and the Pfaffian state
text, January 2007
- Levin, Michael; Halperin, Bertrand I.; Rosenow, Bernd
- arXiv
Landau level mixing and the emergence of Pfaffian excitations for the 5/2 fractional quantum Hall effect
text, January 2010
- Wojs, Arkadiusz; Toke, Csaba; Jain, Jainendra K.
- arXiv
Landau Level Mixing and the Fractional Quantum Hall Effect
text, January 2013
- Sodemann, Inti; MacDonald, A. H.
- arXiv
The Effects of Landau level mixing on the fractional quantum Hall effect in monolayer Graphene
text, January 2014
- Peterson, Michael R.; Nayak, Chetan
- arXiv
Spin-Polarization of Composite Fermions and Particle-Hole Symmetry Breaking
text, January 2014
- Liu, Yang; Hasdemir, S.; Wójs, A.
- arXiv
Mirror symmetry and the half-filled Landau level
text, January 2015
- Kachru, Shamit; Mulligan, Michael; Torroba, Gonzalo
- arXiv
Half-filled Landau level, topological insulator surfaces, and three dimensional quantum spin liquids
text, January 2015
- Wang, Chong; Senthil, T.
- arXiv
Fractional Quantum Hall Effect in Graphene: Quantitative Comparison between Theory and Experiment
text, January 2015
- Balram, Ajit C.; Tőke, Csaba; Wójs, A.
- arXiv
The half-filled Landau level: the case for Dirac composite fermions
text, January 2015
- Geraedts, Scott D.; Zaletel, Michael P.; Mong, Roger S. K.
- arXiv
Thermoelectric transport signatures of Dirac composite fermions in the half-filled Landau level
text, January 2015
- Potter, Andrew C.; Serbyn, Maksym; Vishwanath, Ashvin
- arXiv
Direct test of composite fermion model in quantum Hall systems
text, January 1995
- Mandal, Sudhansu S.; Ravishankar, V.
- arXiv
Composite Fermions in the Hilbert Space of the Lowest Electronic Landau Level
text, January 1997
- Jain, J. K.; Kamilla, R. K.
- arXiv
Fractional Quantum Hall Effect Measurements at Zero g-Factor
text, January 1997
- Leadley, D. R.; Nicholas, R. J.; Maude, D. K.
- arXiv
Works referencing / citing this record:
Berry phase of the composite-fermion Fermi sea: Effect of Landau-level mixing
journal, August 2018
- Pu, Songyang; Fremling, Mikael; Jain, J. K.
- Physical Review B, Vol. 98, Issue 7
Charge equilibration in integer and fractional quantum Hall edge channels in a generalized Hall-bar device
journal, May 2019
- Lin, Chaojing; Eguchi, Ryota; Hashisaka, Masayuki
- Physical Review B, Vol. 99, Issue 19
Crystallization in the Fractional Quantum Hall Regime Induced by Landau-level Mixing
text, January 2018
- Zhao, Jianyun; Zhang, Yuhe; Jain, J. K.
- arXiv
Berry phase of the composite-fermion Fermi Sea: Effect of Landau-level mixing
text, January 2018
- Pu, Songyang; Fremling, Mikael; Jain, J. K.
- arXiv
Unconventional anisotropic even-denominator fractional quantum Hall state in a system with mass anisotropy
text, January 2018
- Hossain, Md. Shafayat; Ma, Meng K.; Chung, Y. J.
- arXiv
Prediction of a non-Abelian fractional quantum Hall state with $f$-wave pairing of composite fermions in wide quantum wells
text, January 2019
- Faugno, William N.; Balram, Ajit C.; Barkeshli, Maissam
- arXiv
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