Composite fermions in bands with N -fold rotational symmetry

Ippoliti, Matteo; Geraedts, Scott D.; Bhatt, R. N.

doi:10.1103/PhysRevB.96.115151

Title: Composite fermions in bands with $N$ -fold rotational symmetry

Journal Article · Mon Sep 25 00:00:00 EDT 2017 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.96.115151· OSTI ID:1394693

Ippoliti, Matteo; Geraedts, Scott D.; Bhatt, R. N.

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Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0002140

OSTI ID:: 1394693

Journal Information:: Physical Review B, Journal Name: Physical Review B Vol. 96 Journal Issue: 11; ISSN 2469-9950

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 10 works

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References (17)

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Composite Fermions with a Warped Fermi Contour Mueed, M. A.; Kamburov, D.; Liu, Yang Physical Review Letters, Vol. 114, Issue 17 https://doi.org/10.1103/PhysRevLett.114.176805	journal	April 2015
Theory of the half-filled Landau level Halperin, B. I.; Lee, Patrick A.; Read, Nicholas Physical Review B, Vol. 47, Issue 12 https://doi.org/10.1103/PhysRevB.47.7312	journal	March 1993
Geometrical Description of the Fractional Quantum Hall Effect Haldane, F. D. M. Physical Review Letters, Vol. 107, Issue 11 https://doi.org/10.1103/PhysRevLett.107.116801	journal	September 2011
Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid States Haldane, F. D. M. Physical Review Letters, Vol. 51, Issue 7 https://doi.org/10.1103/PhysRevLett.51.605	journal	August 1983
Band mass anisotropy and the intrinsic metric of fractional quantum Hall systems Yang, Bo; Papić, Z.; Rezayi, E. H. Physical Review B, Vol. 85, Issue 16 https://doi.org/10.1103/PhysRevB.85.165318	journal	April 2012
Exact results for model wave functions of anisotropic composite fermions in the fractional quantum Hall effect Balram, Ajit C.; Jain, J. K. Physical Review B, Vol. 93, Issue 7 https://doi.org/10.1103/PhysRevB.93.075121	journal	February 2016
The half-filled Landau level: The case for Dirac composite fermions Geraedts, S. D.; Zaletel, M. P.; Mong, R. S. K. Science, Vol. 352, Issue 6282 https://doi.org/10.1126/science.aad4302	journal	April 2016
Transference of transport anisotropy to composite fermions Gokmen, T.; Padmanabhan, Medini; Shayegan, M. Nature Physics, Vol. 6, Issue 8 https://doi.org/10.1038/nphys1684	journal	May 2010
Framing Anomaly in the Effective Theory of the Fractional Quantum Hall Effect Gromov, Andrey; Cho, Gil Young; You, Yizhi Physical Review Letters, Vol. 114, Issue 1 https://doi.org/10.1103/PhysRevLett.114.016805	journal	January 2015
Topological Characterization of Fractional Quantum Hall Ground States from Microscopic Hamiltonians Zaletel, Michael P.; Mong, Roger S. K.; Pollmann, Frank Physical Review Letters, Vol. 110, Issue 23 https://doi.org/10.1103/PhysRevLett.110.236801	journal	June 2013
Incompressible states of dirac fermions in graphene with anisotropic interactions Apalkov, Vadim M.; Chakraborty, Tapash Solid State Communications, Vol. 177 https://doi.org/10.1016/j.ssc.2013.10.009	journal	January 2014
Generalized Pseudopotentials for the Anisotropic Fractional Quantum Hall Effect Yang, Bo; Hu, Zi-Xiang; Lee, Ching Hua Physical Review Letters, Vol. 118, Issue 14 https://doi.org/10.1103/PhysRevLett.118.146403	journal	April 2017
Model anisotropic quantum Hall states Qiu, R. -Z.; Haldane, F. D. M.; Wan, Xin Physical Review B, Vol. 85, Issue 11 https://doi.org/10.1103/PhysRevB.85.115308	journal	March 2012
Two-dimensional electrons occupying multiple valleys in AlAs Shayegan, M.; De Poortere, E. P.; Gunawan, O. physica status solidi (b), Vol. 243, Issue 14 https://doi.org/10.1002/pssb.200642212	journal	November 2006
Composite Fermions Jain, Jainendra K. https://doi.org/10.1017/CBO9780511607561	book	January 2007
Transference of Fermi Contour Anisotropy to Composite Fermions Jo, Insun; Rosales, K. A. Villegas; Mueed, M. A. Physical Review Letters, Vol. 119, Issue 1 https://doi.org/10.1103/PhysRevLett.119.016402	journal	July 2017

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Title: Composite fermions in bands with $N$ -fold rotational symmetry