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Main Authors: Banerjee, Archi, Zeng, Meng
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2510.13045
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author Banerjee, Archi
Zeng, Meng
author_facet Banerjee, Archi
Zeng, Meng
contents Using bulk gapless topological superconductors in both 1d and 2d as free fermion model examples, we demonstrate the power of subsystem correlation spectrum (the spectrum of correlation matrix), or equivalently the entanglement spectrum for the case of free fermions, in characterizing the topology of the non-trivial ground state. For the systems considered, we show that signatures of the lowenergy spectrum, including both the edge modes and the bulk modes, appear in the correlation spectrum, albeit with different behaviors. This work generalizes the 2d Li-Haldane entanglement spectrum characterization of topological edge states to 2d topological systems with gapless bulk.
format Preprint
id arxiv_https___arxiv_org_abs_2510_13045
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Entanglement spectrum of gapless topological phases: a case study with topological superconductors
Banerjee, Archi
Zeng, Meng
Strongly Correlated Electrons
Superconductivity
Quantum Physics
Using bulk gapless topological superconductors in both 1d and 2d as free fermion model examples, we demonstrate the power of subsystem correlation spectrum (the spectrum of correlation matrix), or equivalently the entanglement spectrum for the case of free fermions, in characterizing the topology of the non-trivial ground state. For the systems considered, we show that signatures of the lowenergy spectrum, including both the edge modes and the bulk modes, appear in the correlation spectrum, albeit with different behaviors. This work generalizes the 2d Li-Haldane entanglement spectrum characterization of topological edge states to 2d topological systems with gapless bulk.
title Entanglement spectrum of gapless topological phases: a case study with topological superconductors
topic Strongly Correlated Electrons
Superconductivity
Quantum Physics
url https://arxiv.org/abs/2510.13045