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Title: Theoretical phase diagram of two-component composite fermions in double-layer graphene

Abstract

Theory predicts that double layer systems realize “two-component composite fermions,” which are formed when electrons capture both intra- and inter-layer vortices, to produce a wide variety of new strongly correlated liquid and crystal states as a function of the layer separation. Recent experiments in double layer graphene have revealed a large number of layer-correlated fractional quantum Hall states in the lowest Landau level, many of which have not been studied quantitatively in previous theoretical works. We consider the competition between various liquid and crystal states at several of these filling factors (specifically, the states at total filling factors ν = 3/7, 4/9, 6/11, 4/7, 3/5, 2/3, and 4/5) to determine the theoretical phase diagram as a function of the layer separation. We compare our results with experiments and identify various observed states. In particular, we show that at small layer separations the states at total fillings ν = 3/7 and ν = 3/5 are partially pseudospin polarized, where pseudospin refers to the layer index. For certain fractions, such as ν = 3/7, interlayer correlations are predicted to survive to surprisingly large interlayer separations.

Authors:
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [3]; ORCiD logo [4]
  1. Pennsylvania State Univ., University Park, PA (United States); Univ. Paris-Saclay, Gif-sur-Yvette (France)
  2. Homi Bhabha National Inst., Chennai (India)
  3. Wroclaw Univ. of Science and Technology (Poland)
  4. Pennsylvania State Univ., University Park, PA (United States)
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:
1606395
Alternate Identifier(s):
OSTI ID: 1601060
Grant/Contract Number:  
SC0005042
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 101; Journal Issue: 8; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Bilayer graphene; fractional quantum Hall effect; composite fermions

Citation Formats

Faugno, W. N., Balram, Ajit C., Wójs, A., and Jain, J. K. Theoretical phase diagram of two-component composite fermions in double-layer graphene. United States: N. p., 2020. Web. doi:10.1103/PhysRevB.101.085412.
Faugno, W. N., Balram, Ajit C., Wójs, A., & Jain, J. K. Theoretical phase diagram of two-component composite fermions in double-layer graphene. United States. doi:https://doi.org/10.1103/PhysRevB.101.085412
Faugno, W. N., Balram, Ajit C., Wójs, A., and Jain, J. K. Wed . "Theoretical phase diagram of two-component composite fermions in double-layer graphene". United States. doi:https://doi.org/10.1103/PhysRevB.101.085412. https://www.osti.gov/servlets/purl/1606395.
@article{osti_1606395,
title = {Theoretical phase diagram of two-component composite fermions in double-layer graphene},
author = {Faugno, W. N. and Balram, Ajit C. and Wójs, A. and Jain, J. K.},
abstractNote = {Theory predicts that double layer systems realize “two-component composite fermions,” which are formed when electrons capture both intra- and inter-layer vortices, to produce a wide variety of new strongly correlated liquid and crystal states as a function of the layer separation. Recent experiments in double layer graphene have revealed a large number of layer-correlated fractional quantum Hall states in the lowest Landau level, many of which have not been studied quantitatively in previous theoretical works. We consider the competition between various liquid and crystal states at several of these filling factors (specifically, the states at total filling factors ν = 3/7, 4/9, 6/11, 4/7, 3/5, 2/3, and 4/5) to determine the theoretical phase diagram as a function of the layer separation. We compare our results with experiments and identify various observed states. In particular, we show that at small layer separations the states at total fillings ν = 3/7 and ν = 3/5 are partially pseudospin polarized, where pseudospin refers to the layer index. For certain fractions, such as ν = 3/7, interlayer correlations are predicted to survive to surprisingly large interlayer separations.},
doi = {10.1103/PhysRevB.101.085412},
journal = {Physical Review B},
number = 8,
volume = 101,
place = {United States},
year = {2020},
month = {2}
}

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