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Three magnon excitations in alternating quantum spin/bond chains

Martinez Cuellar, José Luís

Published Jun 1, 1997• 0 citations
OpenAlex

Abstract

In this thesis we examine the nature of three magnon excitations in alternating spin/bond ferromagnetic chains. We study a Hamiltonian that describes a chain (composed of two non-identical one-dimensional uniform and homogeneous sublattices) with alternating spin magnitudes, S and $S\\sp\\prime$, and alternating nearest neighbor interactions, $J\\sb1$ and $J\\sb2.$ The Recursion Method is used to locate the bound states and their relationship to the three-magnon continuum. The specific cases studied are the S = $S\\sp\\prime$ = 1/2, S = $2S\\sp\\prime$ = 1, and S = $S\\sp\\prime$ = 1 alternating spin chains. We consider not only the effects of spin alternation but also of varying strengths. For each case, we studied different bond sets, more exactly, $J\\sb1$ = 1 and $J\\sb2$ equal to 0, 1/4, 1/2 and 1.

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In this thesis we examine the nature of three magnon excitations in alternating spin/bond ferromagnetic chains. We study a Hamiltonian that describes a chain (composed of two non-identical one-dimensional uniform and homogeneous sublattices) with alternating spin magnitudes, S and SspprimeS\\sp\\primeSspprime, and alternating nearest neighbor interactions, Jsb1J\\sb1Jsb1 and Jsb2.J\\sb2.Jsb2. The Recursion Method is used to locate the bound states and their relationship to the three-magnon continuum. The specific cases studied are the S = SspprimeS\\sp\\primeSspprime = 1/2, S = 2Sspprime2S\\sp\\prime2Sspprime = 1, and S = SspprimeS\\sp\\primeSspprime = 1 alternating spin chains. We consider not only the effects of spin alternation but also of varying strengths. For each case, we studied different bond sets, more exactly, Jsb1J\\sb1Jsb1 = 1 and Jsb2J\\sb2Jsb2 equal to 0, 1/4, 1/2 and 1.
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