Motion of two holes in an interacting spin background

Bose, Indrani (1993) Motion of two holes in an interacting spin background Physical Review B, 47 (17). pp. 11537-11539. ISSN 0163-1829

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Official URL: http://prb.aps.org/abstract/PRB/v47/i17/p11537_1

Related URL: http://dx.doi.org/10.1103/PhysRevB.47.11537

Abstract

An antiferromagnetic spin model (S=1/2) consisting of a chain of octahedra is considered. In a certain parameter regime of the Hamiltonian the exact ground state is a local resonating-valence-bond state. We start with the t-J Hamiltonian for this model describing two holes in the same octahedron, one in the base and the other at one of the vertex sites of the octahedron. The t-J Hamiltonian consists of three parts: Ht1, describing the motion of holes along the chain, Ht2, describing the motion of holes in the bases of the octahedra, and HJ, describing the antiferromagnetic spin-spin interaction. Some exact eigenstates of Ht2 and HJ are constructed. Successive applications of Ht1 on some of these states show two types of localization for one of the holes. In one type of localization one of the holes is localized at its original location while the other hole moves. In the other type of localization, a hole, located in the base of an octahedron, cannot move away from the other hole sitting at a vertex site of the same octahedron. The localization in both cases is produced by the topology of the lattice on which the t-J model is defined.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:6049
Deposited On:19 Oct 2010 09:52
Last Modified:19 Oct 2010 09:52

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