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Fidelity-mediated analysis of the transverse-field XY chain with the long-range interactions: anisotropy-driven multi-criticality

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  • Yoshihiro Nishiyama

    (Okayama University)

Abstract

The transverse-field XY chain with the long-range interactions was investigated by means of the exact-diagonalization method. The algebraic decay rate $$\sigma $$ σ of the long-range interaction is related to the effective dimensionality $$D(\sigma )$$ D ( σ ) , which governs the criticality of the transverse-field-driven phase transition at $$H=H_c$$ H = H c . According to the large-N analysis, the phase boundary $$H_c(\eta )$$ H c ( η ) exhibits a reentrant behavior within $$2 2$$ D > 2 .

Suggested Citation

  • Yoshihiro Nishiyama, 2021. "Fidelity-mediated analysis of the transverse-field XY chain with the long-range interactions: anisotropy-driven multi-criticality," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(11), pages 1-8, November.
    • Handle: RePEc:spr:eurphb:v:94:y:2021:i:11:d:10.1140_epjb_s10051-021-00245-1
    DOI: 10.1140/epjb/s10051-021-00245-1
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