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Title: Zero-temperature spin-wave spectrum of the critical two-layer {ital S}=1/2 antiferromagnet

Abstract

Series expansions about the interlayer dimer limit are calculated to eighth order in the intralayer coupling for the {ital T}=0 antiferromagnetic susceptibility and elementary excitation spectrum of the two-layer, {ital S}=1/2, square lattice Heisenberg antiferromagnet. Extrapolations of the susceptibility and the gap series yield an estimate of the critical interlayer/intralayer coupling ratio {ital J}{sub 2}/{ital J}{sub 1}=2.54{plus_minus}0.02, in agreement with several previous numerical calculations. The spin-wave velocity at criticality is determined by an analysis of the excitation spectrum series: the result, {h_bar}{ital c}/{ital J}{sub 1}{ital a}=1.89{plus_minus}0.02, is very precise and consistent with other estimates based on numerical calculations at finite temperature. The critical spin-wave dispersion at general wave vectors is shown to deviate significantly from a uniformly renormalized mean-field spectrum. {copyright} {ital 1996 The American Physical Society.}

Authors:
 [1]
  1. Department of Physics, Colorado State University, Fort Collins, Colorado 80523 (United States)
Publication Date:
OSTI Identifier:
283872
Resource Type:
Journal Article
Journal Name:
Physical Review, B: Condensed Matter
Additional Journal Information:
Journal Volume: 53; Journal Issue: 17; Other Information: PBD: May 1996
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; ANTIFERROMAGNETISM; SPIN WAVES; TEMPERATURE ZERO K; LAYERS; DIMERS; SERIES EXPANSION; HEISENBERG MODEL; MAGNETIC SUSCEPTIBILITY; VELOCITY; DISPERSION RELATIONS; PERTURBATION THEORY

Citation Formats

Gelfand, M P. Zero-temperature spin-wave spectrum of the critical two-layer {ital S}=1/2 antiferromagnet. United States: N. p., 1996. Web. doi:10.1103/PhysRevB.53.11309.
Gelfand, M P. Zero-temperature spin-wave spectrum of the critical two-layer {ital S}=1/2 antiferromagnet. United States. doi:10.1103/PhysRevB.53.11309.
Gelfand, M P. Wed . "Zero-temperature spin-wave spectrum of the critical two-layer {ital S}=1/2 antiferromagnet". United States. doi:10.1103/PhysRevB.53.11309.
@article{osti_283872,
title = {Zero-temperature spin-wave spectrum of the critical two-layer {ital S}=1/2 antiferromagnet},
author = {Gelfand, M P},
abstractNote = {Series expansions about the interlayer dimer limit are calculated to eighth order in the intralayer coupling for the {ital T}=0 antiferromagnetic susceptibility and elementary excitation spectrum of the two-layer, {ital S}=1/2, square lattice Heisenberg antiferromagnet. Extrapolations of the susceptibility and the gap series yield an estimate of the critical interlayer/intralayer coupling ratio {ital J}{sub 2}/{ital J}{sub 1}=2.54{plus_minus}0.02, in agreement with several previous numerical calculations. The spin-wave velocity at criticality is determined by an analysis of the excitation spectrum series: the result, {h_bar}{ital c}/{ital J}{sub 1}{ital a}=1.89{plus_minus}0.02, is very precise and consistent with other estimates based on numerical calculations at finite temperature. The critical spin-wave dispersion at general wave vectors is shown to deviate significantly from a uniformly renormalized mean-field spectrum. {copyright} {ital 1996 The American Physical Society.}},
doi = {10.1103/PhysRevB.53.11309},
journal = {Physical Review, B: Condensed Matter},
number = 17,
volume = 53,
place = {United States},
year = {1996},
month = {5}
}