dorsal/arxiv
View SchemaLattice fermion simulation of spontaneous time-reversal symmetry breaking in a helical Luttinger liquid
| Authors | V. A. Zakharov, J. Sánchez Fernán, C. W. J. Beenakker |
|---|---|
| Categories | |
| ArXiv ID | 2601.09563vv1 |
| URL | https://arxiv.org/abs/2601.09563 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
We extend a recently developed "tangent fermion" method to discretize the Hamiltonian of a helical Luttinger liquid on a one-dimensional lattice, including two-particle backscattering processes that may open a gap in the spectrum. The fermion-doubling obstruction of the sine dispersion is avoided by working with a tangent dispersion, preserving the time-reversal symmetry of the Hamiltonian. The numerical results from a tensor network calculation on a finite lattice confirm the expectation from infinite-system analytics, that a gapped phase with spontaneously broken time-reversal symmetry emerges when the Fermi level is tuned to the Dirac point and the Luttinger parameter crosses a critical value.
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"date_created": "2026-02-17T05:53:19.549000Z",
"date_modified": "2026-02-17T05:53:19.549000Z",
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"abstract": "We extend a recently developed \"tangent fermion\" method to discretize the Hamiltonian of a helical Luttinger liquid on a one-dimensional lattice, including two-particle backscattering processes that may open a gap in the spectrum. The fermion-doubling obstruction of the sine dispersion is avoided by working with a tangent dispersion, preserving the time-reversal symmetry of the Hamiltonian. The numerical results from a tensor network calculation on a finite lattice confirm the expectation from infinite-system analytics, that a gapped phase with spontaneously broken time-reversal symmetry emerges when the Fermi level is tuned to the Dirac point and the Luttinger parameter crosses a critical value.",
"arxiv_id": "2601.09563",
"authors": [
"V. A. Zakharov",
"J. S\u00e1nchez Fern\u00e1n",
"C. W. J. Beenakker"
],
"categories": [
"cond-mat.str-el",
"quant-ph"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Lattice fermion simulation of spontaneous time-reversal symmetry breaking in a helical Luttinger liquid",
"url": "https://arxiv.org/abs/2601.09563",
"version": "v1"
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