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Main Authors: Wilhelm, Patrick H., Kwan, Yves H., Läuchli, Andreas M., Parameswaran, S. A.
Format: Preprint
Published: 2023
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Online Access:https://arxiv.org/abs/2307.13031
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author Wilhelm, Patrick H.
Kwan, Yves H.
Läuchli, Andreas M.
Parameswaran, S. A.
author_facet Wilhelm, Patrick H.
Kwan, Yves H.
Läuchli, Andreas M.
Parameswaran, S. A.
contents We study a model of spinless fermions on the honeycomb lattice with nearest-neighbor exclusion and extended repulsive interactions that exhibits `lattice supersymmetry' [P. Fendley, K. Schoutens, and J. de Boer, Phys. Rev. Lett. 90, 120402 (2003)]. Using a combination of exact diagonalization of large ($N\leq56$ site) systems, mean-field numerics, and symmetry analysis, we establish a rich phase structure as a function of fermion density, that includes non-Fermi liquid behavior, resonating charge stripes, domain-wall and bubble physics, and identify a finite range of fillings with extensive ground state degeneracy and both gapped and gapless spectra. We comment on the stability of our results to relaxing the stringent requirements for supersymmetry, and on their possible broader relevance to systems of strongly-correlated electrons with extended repulsive interactions.
format Preprint
id arxiv_https___arxiv_org_abs_2307_13031
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Supersymmetry on the honeycomb lattice: resonating charge stripes, superfrustration, and domain walls
Wilhelm, Patrick H.
Kwan, Yves H.
Läuchli, Andreas M.
Parameswaran, S. A.
Strongly Correlated Electrons
Statistical Mechanics
We study a model of spinless fermions on the honeycomb lattice with nearest-neighbor exclusion and extended repulsive interactions that exhibits `lattice supersymmetry' [P. Fendley, K. Schoutens, and J. de Boer, Phys. Rev. Lett. 90, 120402 (2003)]. Using a combination of exact diagonalization of large ($N\leq56$ site) systems, mean-field numerics, and symmetry analysis, we establish a rich phase structure as a function of fermion density, that includes non-Fermi liquid behavior, resonating charge stripes, domain-wall and bubble physics, and identify a finite range of fillings with extensive ground state degeneracy and both gapped and gapless spectra. We comment on the stability of our results to relaxing the stringent requirements for supersymmetry, and on their possible broader relevance to systems of strongly-correlated electrons with extended repulsive interactions.
title Supersymmetry on the honeycomb lattice: resonating charge stripes, superfrustration, and domain walls
topic Strongly Correlated Electrons
Statistical Mechanics
url https://arxiv.org/abs/2307.13031