Exact nonmagnetic ground state and residual entropy of S = 1/2 heisenberg diamond spin lattices

Katsuhiro Morita, Naokazu Shibata

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12 Citations (Scopus)

Abstract

Exactly solvable frustrated quantum spin models consisting of a diamond unit structure are presented. The ground states are characterized by tetramer-dimer states with a macroscopic degeneracy in a certain range of isotropic exchange interaction. The lower bound of the excitation gap is exactly calculated to be finite, and the bulk entropy in the limit of zero temperature remains finite depending on the shape of the boundary of the system. Residual entropy is in the range of 0-6.1% of the entropy at high temperature for a hexagonal diamond lattice and 0-8.4% for a square diamond lattice. These diamond spin lattices are generalized to any dimensions and some of them are likely to be synthesized experimentally.

Original languageEnglish
Article number033705
Journaljournal of the physical society of japan
Volume85
Issue number3
DOIs
Publication statusPublished - 2016 Mar 15

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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