Superfluid dome in the spatially modulated two-dimensional XY model

Fuente: arXiv
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Main Authors: Song, Feng-Feng, Chugh, Aditya, Nuomin, Hanggai, Kawashima, Naoki, Wietek, Alexander
Format: Preprint
Published: 2025
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author Song, Feng-Feng
Chugh, Aditya
Nuomin, Hanggai
Kawashima, Naoki
Wietek, Alexander
author_facet Song, Feng-Feng
Chugh, Aditya
Nuomin, Hanggai
Kawashima, Naoki
Wietek, Alexander
contents In strongly correlated electron systems, superconductivity and charge density waves often coexist in close proximity, suggesting a deeper relationship between these competing phases. Recent research indicates that these orders can intertwine, with the superconducting order parameter coupling to modulations in the electronic density. To elucidate this interplay, we study a two-dimensional XY model with a periodic modulation of the coupling strength in one spatial direction. Using a combination of tensor network methods and Monte Carlo simulations, we reveal a non-monotonic, dome-like dependence of $T_c$ on the modulation wavelength, with the peak $T_c$ shifting to longer wavelengths as the modulation strength grows. The origin of this phenomenon is traced back to an effective pinning of vortices in the valleys of the modulation, confirmed by a comparison to modulated $q$-state clock models. These findings shed new light on the phase behavior of intertwined superconducting and charge-ordered states, offering a deeper understanding of their complex interactions.
format Preprint
id arxiv_https___arxiv_org_abs_2506_16068
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Superfluid dome in the spatially modulated two-dimensional XY model
Song, Feng-Feng
Chugh, Aditya
Nuomin, Hanggai
Kawashima, Naoki
Wietek, Alexander
Superconductivity
Statistical Mechanics
Strongly Correlated Electrons
In strongly correlated electron systems, superconductivity and charge density waves often coexist in close proximity, suggesting a deeper relationship between these competing phases. Recent research indicates that these orders can intertwine, with the superconducting order parameter coupling to modulations in the electronic density. To elucidate this interplay, we study a two-dimensional XY model with a periodic modulation of the coupling strength in one spatial direction. Using a combination of tensor network methods and Monte Carlo simulations, we reveal a non-monotonic, dome-like dependence of $T_c$ on the modulation wavelength, with the peak $T_c$ shifting to longer wavelengths as the modulation strength grows. The origin of this phenomenon is traced back to an effective pinning of vortices in the valleys of the modulation, confirmed by a comparison to modulated $q$-state clock models. These findings shed new light on the phase behavior of intertwined superconducting and charge-ordered states, offering a deeper understanding of their complex interactions.
title Superfluid dome in the spatially modulated two-dimensional XY model
topic Superconductivity
Statistical Mechanics
Strongly Correlated Electrons
url https://arxiv.org/abs/2506.16068