Quick Navigation

Overview Topics Abstract Importance Paper Tools References Reactions Discussion Publication Related

Topics

Quantum Simulation

Lattice fermion simulation of spontaneous time-reversal symmetry breaking in a helical Luttinger liquid

arXiv
Authors: V. A. Zakharov, J. Sánchez Fernán, C. W. J. Beenakker

Year

2026

Paper ID

3830

Status

Preprint

Abstract Read

~2 min

Abstract Words

101

Citations

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.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2026 reference point for readers tracking recent quantum research.
  • 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...

Paper Tools

Become a member to use research tools

Sign in to open papers, visit source links, share, cite, compare, copy DOI links, request category corrections, and build your reading list.

Become a member Sign in
Show Paper arXiv Publisher Share Cite This Paper Copy URL Compare Copy DOI Add to Reading List Category Correction Request

References & Citation Signals

[1] DOI https://doi.org/arXiv:2601.09563 [2] arXiv https://arxiv.org/abs/2601.09563 [3] Publisher https://arxiv.org/abs/2601.09563

Local Citation Graph (Related-Paper Links)

Current Paper #3830 #69041 Multi-modes Bessel-Gaussian-Orb... #69040 Collective Emission in LH2 Asse... #69038 Physically Constrained Ensemble... #69034 Hardware-aware Low-latency Quan...

External citation index: OpenAlex citation signal • updated 2026-06-14 14:20:14

Community Reactions

Quick sentiment from readers on this paper.

Score: 0
Likes: 0 Dislikes: 0

Sign in to react to this paper.

Discussion & Reviews (Moderated)

Average Rating: 0.0 / 5 (0 ratings)

No written reviews yet.