Perturbational Method for the Numerical Evaluation of the Ground-State Energy of the Heisenberg Model

Takehiko Oguchi, Hidetsugu Kitatani, Hidetoshi Nishimori

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10 Citations (Scopus)

Abstract

A perturbational method is developed and applied to the numerical calculation for the energy of the ground state Eg of antiferromagnetic Heisenberg model of finite size systems. In this method the system is divided into two subsystems and each one is treated exactly, while the interactions between the subsystems are taken into account by the second order perturbation. This process saves the memory space of computer, and moreover the relative error is very small and decreases as the size of system is increased. Actual calculations for the triangular lattice are performed up to the number of spins N=36 and Eg for the infinite lattice is estimated as - (1.04±0.01)N|J|, where |J| is the exchange integral.

Original languageEnglish
Pages (from-to)3858-3864
Number of pages7
Journaljournal of the physical society of japan
Volume56
Issue number11
DOIs
Publication statusPublished - 1987

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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