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Main Authors: Majumder, Ritwika, Erten, Onur, Mukherjee, Anamitra
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2401.14525
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author Majumder, Ritwika
Erten, Onur
Mukherjee, Anamitra
author_facet Majumder, Ritwika
Erten, Onur
Mukherjee, Anamitra
contents Using unbiased Monte Carlo simulations and variational analysis, we present the ground state and finite temperature phase diagrams of an exactly solvable spin-orbital model with Kitaev-type interactions on a square lattice. We show that an array of new gapped and gapless vison crystals -- characterized by the periodic arrangement of $\mathbb{Z}_2$ flux excitations -- can be stabilized as a function of external magnetic field and exchange anisotropy. In particular, we discover a variety of `quarter phases' wherein new sixteen-site periodic patterns emerge, with only a quarter of the fluxes adopting 0-flux configurations. In contrast, the rest remain in $π$-flux configurations. Vison crystals break translational symmetry and undergo finite temperature phase transitions. We investigate the finite temperature properties of these phases and report the corresponding critical and crossover temperatures. Our results reveal an array of novel phases in exactly solvable extensions of the Kitaev model, wherein local and topological orders can coexist.
format Preprint
id arxiv_https___arxiv_org_abs_2401_14525
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Thermodynamics of vison crystals in an anisotropic quantum spin liquid
Majumder, Ritwika
Erten, Onur
Mukherjee, Anamitra
Strongly Correlated Electrons
Using unbiased Monte Carlo simulations and variational analysis, we present the ground state and finite temperature phase diagrams of an exactly solvable spin-orbital model with Kitaev-type interactions on a square lattice. We show that an array of new gapped and gapless vison crystals -- characterized by the periodic arrangement of $\mathbb{Z}_2$ flux excitations -- can be stabilized as a function of external magnetic field and exchange anisotropy. In particular, we discover a variety of `quarter phases' wherein new sixteen-site periodic patterns emerge, with only a quarter of the fluxes adopting 0-flux configurations. In contrast, the rest remain in $π$-flux configurations. Vison crystals break translational symmetry and undergo finite temperature phase transitions. We investigate the finite temperature properties of these phases and report the corresponding critical and crossover temperatures. Our results reveal an array of novel phases in exactly solvable extensions of the Kitaev model, wherein local and topological orders can coexist.
title Thermodynamics of vison crystals in an anisotropic quantum spin liquid
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2401.14525