Zerotemperature spinwave spectrum of the critical twolayer {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 twolayer, {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 spinwave 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 spinwave dispersion at general wave vectors is shown to deviate significantly from a uniformly renormalized meanfield spectrum. {copyright} {ital 1996 The American Physical Society.}
 Authors:

 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. Zerotemperature spinwave spectrum of the critical twolayer {ital S}=1/2 antiferromagnet. United States: N. p., 1996.
Web. doi:10.1103/PhysRevB.53.11309.
Gelfand, M P. Zerotemperature spinwave spectrum of the critical twolayer {ital S}=1/2 antiferromagnet. United States. doi:10.1103/PhysRevB.53.11309.
Gelfand, M P. Wed .
"Zerotemperature spinwave spectrum of the critical twolayer {ital S}=1/2 antiferromagnet". United States. doi:10.1103/PhysRevB.53.11309.
@article{osti_283872,
title = {Zerotemperature spinwave spectrum of the critical twolayer {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 twolayer, {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 spinwave 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 spinwave dispersion at general wave vectors is shown to deviate significantly from a uniformly renormalized meanfield 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}
}