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Effective chiral-spin Hamiltonian for odd-numbered coupled Heisenberg chains

Technical Report:

Abstract

An L x {infinity} system of odd number of coupled Heisenberg spin chains is studied using a degenerate perturbation theory, where L is the number of coupled chains. An effective chain Hamiltonian is derived explicitly in terms of two spin half degrees of freedom of a closed chain of L sites, valid in the regime the inter-chain coupling is stronger than the intra-chain coupling. The spin gap has been calculated numerically using the effective Hamiltonian for L = 3,5,7,9 for a finite chain up to ten sites. It is suggested that the ground state of the effective Hamiltonian is correlated, by examining various variational trial states for the effective-spin chain Hamiltonian. (author). 11 refs, 1 fig., 1 tab.
Authors:
Publication Date:
Sep 01, 1994
Product Type:
Technical Report
Report Number:
IC-94/288
Reference Number:
SCA: 665400; PA: AIX-26:014020; EDB-95:033002; SN: 95001325769
Resource Relation:
Other Information: PBD: Sep 1994
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; HEISENBERG MODEL; CHIRAL SYMMETRY; HAMILTONIANS; GROUND STATES; J-J COUPLING; PERTURBATION THEORY; SPIN; 665400; QUANTUM PHYSICS ASPECTS OF CONDENSED MATTER
OSTI ID:
10112980
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE95614445; TRN: XA9438404014020
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
8 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Subrahmanyam, V. Effective chiral-spin Hamiltonian for odd-numbered coupled Heisenberg chains. IAEA: N. p., 1994. Web.
Subrahmanyam, V. Effective chiral-spin Hamiltonian for odd-numbered coupled Heisenberg chains. IAEA.
Subrahmanyam, V. 1994. "Effective chiral-spin Hamiltonian for odd-numbered coupled Heisenberg chains." IAEA.
@misc{etde_10112980,
title = {Effective chiral-spin Hamiltonian for odd-numbered coupled Heisenberg chains}
author = {Subrahmanyam, V}
abstractNote = {An L x {infinity} system of odd number of coupled Heisenberg spin chains is studied using a degenerate perturbation theory, where L is the number of coupled chains. An effective chain Hamiltonian is derived explicitly in terms of two spin half degrees of freedom of a closed chain of L sites, valid in the regime the inter-chain coupling is stronger than the intra-chain coupling. The spin gap has been calculated numerically using the effective Hamiltonian for L = 3,5,7,9 for a finite chain up to ten sites. It is suggested that the ground state of the effective Hamiltonian is correlated, by examining various variational trial states for the effective-spin chain Hamiltonian. (author). 11 refs, 1 fig., 1 tab.}
place = {IAEA}
year = {1994}
month = {Sep}
}