Topological phase transition through tunable nearest-neighbor interactions in a one-dimensional lattice

Fuente: arXiv
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Autori principali: Parida, Rajashri, Sen, Diptiman, Mishra, Tapan
Natura: Preprint
Pubblicazione: 2025
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author Parida, Rajashri
Sen, Diptiman
Mishra, Tapan
author_facet Parida, Rajashri
Sen, Diptiman
Mishra, Tapan
contents We investigate the phase diagram of a one-dimensional model of hardcore bosons or spinless fermions with tunable nearest-neighbor interactions. By introducing alternating repulsive and attractive interactions on consecutive bonds, we show that the system undergoes a transition from a bond-ordered (BO) phase to a charge-density wave-II (CDW-II) phase as the attractive interaction strength increases at a fixed repulsive interaction. For a specific interaction pattern, the BO phase exhibits topological properties, which vanish when the pattern is altered, leading to a transition from a topological BO phase to a trivial BO phase through a gap-closing point where both interactions vanish. We identify these phases using a combination of order parameters, topological invariants, edge-state analysis and Thouless charge pumping. By extending our analysis beyond half-filling, we explore the phase diagram across all densities and identify the superfluid (SF) and the pair-superfluid (PSF) phases, characterized by single-particle and bound-pair excitations at incommensurate densities. The proposed model is experimentally realizable in platforms such as Rydberg excited or ultracold atoms in optical lattices, offering a versatile framework to study such interplay between topology and interactions in low-dimensional systems.
format Preprint
id arxiv_https___arxiv_org_abs_2502_14603
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Topological phase transition through tunable nearest-neighbor interactions in a one-dimensional lattice
Parida, Rajashri
Sen, Diptiman
Mishra, Tapan
Quantum Gases
Other Condensed Matter
We investigate the phase diagram of a one-dimensional model of hardcore bosons or spinless fermions with tunable nearest-neighbor interactions. By introducing alternating repulsive and attractive interactions on consecutive bonds, we show that the system undergoes a transition from a bond-ordered (BO) phase to a charge-density wave-II (CDW-II) phase as the attractive interaction strength increases at a fixed repulsive interaction. For a specific interaction pattern, the BO phase exhibits topological properties, which vanish when the pattern is altered, leading to a transition from a topological BO phase to a trivial BO phase through a gap-closing point where both interactions vanish. We identify these phases using a combination of order parameters, topological invariants, edge-state analysis and Thouless charge pumping. By extending our analysis beyond half-filling, we explore the phase diagram across all densities and identify the superfluid (SF) and the pair-superfluid (PSF) phases, characterized by single-particle and bound-pair excitations at incommensurate densities. The proposed model is experimentally realizable in platforms such as Rydberg excited or ultracold atoms in optical lattices, offering a versatile framework to study such interplay between topology and interactions in low-dimensional systems.
title Topological phase transition through tunable nearest-neighbor interactions in a one-dimensional lattice
topic Quantum Gases
Other Condensed Matter
url https://arxiv.org/abs/2502.14603