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Examining a square to triangular lattice interpolation: bound states in two dimensional t – J models
Author(s) -
Basu Saurabh,
Gooding R. J.
Publication year - 2005
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.200440036
Subject(s) - hexagonal lattice , pairing , isotropy , square lattice , anisotropy , lattice (music) , square (algebra) , interpolation (computer graphics) , physics , upper and lower bounds , condensed matter physics , mathematics , combinatorics , statistical physics , geometry , quantum mechanics , mathematical analysis , classical mechanics , antiferromagnetism , ising model , motion (physics) , superconductivity , acoustics
Formation of bound pairs in two dimensional t – J models is investigated. Previous studies have examined the square and rectangular lattices, and here we extend such work to include the triangular lattice. In particular, we calculate the threshold exchange coupling needed for pairing, and the corresponding binding energy for an isotropic triangular lattice. Finally, to track how a frustrated environment affects pairing we have considered an anisotropic t – J model with two exchange couplings J 1 and J 2 which smoothly interpolates between the isotropic square to triangular lattices. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)