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Calculation of Phase Diagrams in the Lattice‐Gas Model by Modified Cluster Field Method Application to High‐Temperature Superconductors
Author(s) -
Zubkus V. E.,
Lapinskas S.,
Tornau E. E.
Publication year - 1989
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221560109
Subject(s) - phase diagram , superconductivity , lattice (music) , cluster (spacecraft) , condensed matter physics , hexagonal lattice , thermodynamics , high temperature superconductivity , crystal structure , phase transition , transition temperature , materials science , statistical physics , physics , phase (matter) , chemistry , crystallography , computer science , quantum mechanics , antiferromagnetism , acoustics , programming language
A modified cluster field method is proposed to investigate the phase transition thermodynamics and phase diagrams of systems described by the lattice‐gas model. By comparison with the exactly solved hard hexagon model and the competing interaction model on a triangular lattice the high accuracy of this method is demonstrated. The method proposed is also used to calculate the phase diagram in the high‐ T c superconductor YBa 2 Cu 3 O 7‐ x . The absence of two‐phase regions in this crystal at 0 ≦ x ≦ 1 and superconducting temperatures is shown. A chain mechanism for change of the oxygen content is proposed.