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Chinese Physics Letters

Temperature Dependence of Energy Gaps in Spin—1／2 Dimerized Heisenberg Chain

江学范, 陈鸿

Published Jan 1, 2002• 0 citations
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Abstract

We present a method which combines a thermal coherent state approach with a self-consistent quantum theory to investigate the spin-1/2 dimerized antiferromagnetic Heisenberg chain.It is found that both excitation gaps between the ground state and two lowest excited modes,the triplet one-magnon excitation and the singlet two-magnon bound state decrease monotonically with increasing temperature.Our results are consitent with those obtained from the other approximations.

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We have studied the low-energy excitation spectrum of a dimerized and frustrated antiferromagnetic Heisenberg chain. We use an analytic approach, based on a description of the excitations as triplets above a strong-coupling singlet ground state. The quasiparticle spectrum is calculated by treating the excitations as a dilute Bose gas with infinite on-site repulsion. Additional singlet (S=0)(S=0)(S=0) and triplet (S=1)(S=1)(S=1) modes are found as two-particle bound states of the elementary triplets. We have also calculated the contributions of the elementary and collective excitations into the spin structure factor. Our results are in excellent agreement with exact diagonalizations and dimer series expansions data as long as the dimerization parameter \ensuremath{\delta} is not too small $(\ensuremath{\delta}>0.1),$ i.e., while the elementary triplets can be treated as localized objects.
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