Valley polarization dependence of candidate even-denominator fractional quantum Hall states in monolayer graphene
Abstract
We investigate even-denominator fractional quantum Hall (EDFQH) states in monolayer graphene, focusing on the experimentally observed filling fractions ν= 1/2 and ν= 1/4. Owing to the approximate SU(4) symmetry arising from spin and valley degrees of freedom, graphene hosts a rich variety of multi-component fractional quantum Hall states with different polarization configurations. Using the Chern-Simons composite fermion framework for SU(4) systems, we construct candidate variational wave functions corresponding to distinct spin, valley, and mixed polarization states. The ground-state energies of these states are evaluated numerically using the Coulomb interaction in spherical geometry. By comparing energies across different polarization sectors, we identify the energetically favored configurations at ν= 1/2 and ν= 1/4. Our variational energy comparison suggests that the energetically favored candidate states correspond to multi-component correlated quantum Hall liquids. Within the restricted family of trial states considered here, these states differ from a simple composite-fermion Fermi-sea description. These findings provide insight into the role of valley polarization and SU(4) symmetry in stabilizing even-denominator fractional quantum Hall states in graphene.
Versions
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BibTeX
@misc{sahu2026valley,
title = {{Valley polarization dependence of candidate even-denominator fractional quantum Hall states in monolayer graphene}},
author = {Saswata Sahu and Amarendra Pr. Indra and Moumita Indra},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.02976},
eprint = {2609.02976},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.02976},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Valley polarization dependence of candidate even-denominator fractional quantum Hall states in monolayer graphene
AU - Saswata Sahu
AU - Amarendra Pr. Indra
AU - Moumita Indra
PY - 2026
DA - 2026/09/02
PB - arXiv
DO - 10.48550/arxiv.2609.02976
UR - https://arxiv.org/abs/2609.02976
AB - We investigate even-denominator fractional quantum Hall (EDFQH) states in monolayer graphene, focusing on the experimentally observed filling fractions ν= 1/2 and ν= 1/4. Owing to the approximate SU(4) symmetry arising from spin and valley degrees of freedom, graphene hosts a rich variety of multi-component fractional quantum Hall states with different polarization configurations. Using the Chern-Simons composite fermion framework for SU(4) systems, we construct candidate variational wave functions corresponding to distinct spin, valley, and mixed polarization states. The ground-state energies of these states are evaluated numerically using the Coulomb interaction in spherical geometry. By comparing energies across different polarization sectors, we identify the energetically favored configurations at ν= 1/2 and ν= 1/4. Our variational energy comparison suggests that the energetically favored candidate states correspond to multi-component correlated quantum Hall liquids. Within the restricted family of trial states considered here, these states differ from a simple composite-fermion Fermi-sea description. These findings provide insight into the role of valley polarization and SU(4) symmetry in stabilizing even-denominator fractional quantum Hall states in graphene.
ER -