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Abstracts of the meeting of the Physical Society of Japan. Sectional meeting

Ground State Properties of Alternating Spin Chains

Takuma Nishimura, M. Katsumura, T. Morita, M. Sugimoto, Tetsuji Kuramoto, Tatsuyoshi Ono

Published Sep 13, 1996• 0 citations
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Ground state properties, dispersion relations and scaling behaviour of spin gap of a bond alternating spin-1 2 anisotropic Heisenberg chain have been studied where the exchange interactions on alternate bonds are ferromagnetic (FM) and antiferromagnetic (AFM) in two separate cases.The resulting models separately represent nearest neighbour (NN) AFM-AFM and AFM-FM bond alternating chains.Ground state energy has been estimated analytically by using both bond operator and Jordan-Wigner representations and numerically by using exact diagonalization.Dispersion relations, spin gap and several ground state orders have been obtained.Dimer order and string orders are found to coexist in the ground state.Spin gap is found to develop as soon as the non-uniformity in alternating bond strength is introduced in the AFM-AFM chain which further remains non-zero for the AFM-FM chain.This spin gap along with the string orders attribute to the Haldane phase.The Haldane phase is found to exist in most of the anisotropic region similar to the isotropic point.

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We investigate low-energy properties of the alternating-spin-chain model composed of spins s1{s}_{1}s1​ and s2{s}_{2}s2​ with a singlet ground state. After examining the spin-wave spectrum in detail, we map low-energy spin excitations to the O(3) nonlinear \ensuremath{\sigma} model in order to take into account quantum fluctuations. Analyzing the topological term in the resulting \ensuremath{\sigma} model, we discuss how the massless or massive excitations are developed, especially according to the topological nature of the alternating spin system.
The ground-state properties of the ferrimagnetic spin chain consisting of (5/2,1/2,1/2) trimers with antiferromagnetic exchange between the 5/2 and 1/2 spins and ferromagnetic exchange between the 1/2 and 1/2 spins are analysed in the framework of the quantum renormalization group in real space and the matrix product method. The results are compared with a spin-wave calculation for a spin chain with two types of spin, (5/2,1). The ground-state energy, the average magnetizations and the correlation length are found as functions of the ratio between the antiferromagnetic and ferromagnetic exchange. The analysis shows that the trimer spin chain is characterized by strong quantum fluctuations reducing the average magnetizations and possesses an extremely short correlation length.
Ground state properties, dispersion relations and scaling behaviour of spin gap of a bond alternating spin-1 2 anisotropic Heisenberg chain have been studied where the exchange interactions on alternate bonds are ferromagnetic (FM) and antiferromagnetic (AFM) in two separate cases.The resulting models separately represent nearest neighbour (NN) AFM-AFM and AFM-FM bond alternating chains.Ground state energy has been estimated analytically by using both bond operator and Jordan-Wigner representations and numerically by using exact diagonalization.Dispersion relations, spin gap and several ground state orders have been obtained.Dimer order and string orders are found to coexist in the ground state.Spin gap is found to develop as soon as the non-uniformity in alternating bond strength is introduced in the AFM-AFM chain which further remains non-zero for the AFM-FM chain.This spin gap along with the string orders attribute to the Haldane phase.The Haldane phase is found to exist in most of the anisotropic region similar to the isotropic point.