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Vortices and 2D Bosons: A Path-Integral Monte Carlo Study

1996/12/31 by Henrik Nordborg, G. Blatter, Gianni Blatter · 4 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Boson #Condensed matter physics #Lambda #Lattice (music) #Monte Carlo method #Order (exchange) #Path integral Monte Carlo #Path integral formulation #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum Monte Carlo #Quantum mechanics #Superconductivity #Superconductivity in MgB2 and Alloys #Superfluidity #Vortex #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevlett.79.1925

published as Phys. Rev. Lett. 79 1925 (1997) · 9 pages, RevTeX, 4 PostScript figures. The entropy jump at the transition has been recomputed and is now in agreement with experiments on YBCO. Some minor modifications were made in the text

arxiv created 1997/04/22 · openalex publication_date 1997/09/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The vortex system in a high- Tc superconductor has been studied numerically using the mapping to 2D bosons and the path-integral Monte Carlo method. We find a single first-order transition from an Abrikosov lattice to an entangled vortex liquid. The transition is characterized by an entropy jump \ensuremathΔS\ensuremath≈0.4kB per vortex and layer (parameters for YBa2Cu3O7) and a Lindemann number cL\ensuremath≈0.25. The increase in density at melting is given by \ensuremathΔ\ensuremathρ\ensuremath≈6.0\ifmmode×\else\texttimes\fi10^\ensuremath-4/\ensuremathλ(T)2. The vortex liquid corresponds to a bosonic superfluid, with \ensuremathρs\phantom\rule0ex0ex=\phantom\rule0ex0ex\ensuremathρ even in the limit \ensuremathλ\ensuremath→\ensuremath∞.

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