Multicritical behavior of the fidelity susceptibility for the 2D quantum transverse-field XY model

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Abstract

Abstract: The two-dimensional quantum XY model with a transverse magnetic field was investigated with the exact diagonalization method. Upon turning on the magnetic field h and the XY -plane anisotropy η, there appear a variety of phase boundaries, which meet at the multicritical point (h, η) = (2, 0). We devote ourselves to the Ising-universality branch, placing an emphasis on the multicritical behavior. As a probe to detect the underlying phase transitions, we adopt the fidelity susceptibility χF. The fidelity susceptibility does not rely on any presumptions as to the order parameter involved. We made a finite-size-scaling analysis of χF for η = 1 (Ising limit), where a number of preceding results are available. Thereby, similar analyses with η scaled were carried out around the multicritical point. We found that the χF data are described by the crossover scaling theory. A comparison with the preceding studies of the multicriticality is made. Graphical abstract: [Figure not available: see fulltext.].

Original languageEnglish
Article number167
JournalEuropean Physical Journal B
Volume92
Issue number8
DOIs
Publication statusPublished - Aug 1 2019

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Magnetic fields
magnetic permeability
scaling
Phase boundaries
magnetic fields
crossovers
Anisotropy
Phase transitions
anisotropy
probes

Keywords

  • Statistical and Nonlinear Physics

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

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title = "Multicritical behavior of the fidelity susceptibility for the 2D quantum transverse-field XY model",
abstract = "Abstract: The two-dimensional quantum XY model with a transverse magnetic field was investigated with the exact diagonalization method. Upon turning on the magnetic field h and the XY -plane anisotropy η, there appear a variety of phase boundaries, which meet at the multicritical point (h, η) = (2, 0). We devote ourselves to the Ising-universality branch, placing an emphasis on the multicritical behavior. As a probe to detect the underlying phase transitions, we adopt the fidelity susceptibility χF. The fidelity susceptibility does not rely on any presumptions as to the order parameter involved. We made a finite-size-scaling analysis of χF for η = 1 (Ising limit), where a number of preceding results are available. Thereby, similar analyses with η scaled were carried out around the multicritical point. We found that the χF data are described by the crossover scaling theory. A comparison with the preceding studies of the multicriticality is made. Graphical abstract: [Figure not available: see fulltext.].",
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N2 - Abstract: The two-dimensional quantum XY model with a transverse magnetic field was investigated with the exact diagonalization method. Upon turning on the magnetic field h and the XY -plane anisotropy η, there appear a variety of phase boundaries, which meet at the multicritical point (h, η) = (2, 0). We devote ourselves to the Ising-universality branch, placing an emphasis on the multicritical behavior. As a probe to detect the underlying phase transitions, we adopt the fidelity susceptibility χF. The fidelity susceptibility does not rely on any presumptions as to the order parameter involved. We made a finite-size-scaling analysis of χF for η = 1 (Ising limit), where a number of preceding results are available. Thereby, similar analyses with η scaled were carried out around the multicritical point. We found that the χF data are described by the crossover scaling theory. A comparison with the preceding studies of the multicriticality is made. Graphical abstract: [Figure not available: see fulltext.].

AB - Abstract: The two-dimensional quantum XY model with a transverse magnetic field was investigated with the exact diagonalization method. Upon turning on the magnetic field h and the XY -plane anisotropy η, there appear a variety of phase boundaries, which meet at the multicritical point (h, η) = (2, 0). We devote ourselves to the Ising-universality branch, placing an emphasis on the multicritical behavior. As a probe to detect the underlying phase transitions, we adopt the fidelity susceptibility χF. The fidelity susceptibility does not rely on any presumptions as to the order parameter involved. We made a finite-size-scaling analysis of χF for η = 1 (Ising limit), where a number of preceding results are available. Thereby, similar analyses with η scaled were carried out around the multicritical point. We found that the χF data are described by the crossover scaling theory. A comparison with the preceding studies of the multicriticality is made. Graphical abstract: [Figure not available: see fulltext.].

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