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Title: Field-induced Bose-Einstein condensation of interacting dilute magnons in three-dimensional spin systems: A renormalization-group study

Abstract

We use the renormalization-group method to study the magnetic field influence on the Bose-Einstein condensation of interacting dilute magnons in three-dimensional spin systems. We first considered a model with SU(2) symmetry (universality class z=1) and we obtain for the critical magnetic field a power law dependence on the critical temperature, [H{sub c}(T)-H{sub c}(0)]{approx}T{sup 2}. In the case of U(1) symmetry (universality class z=2) the dependence is different, and the magnetic critical field depends linearly on the critical temperature, [H{sub c}(T)-H{sub c}(0)]{approx}T. By considering a more relevant model, which includes also the system's anisotropy, we obtain for the same symmetry class a T{sup 3/2} dependence of the magnetic critical field on the critical temperature. We discuss these theoretical predictions of the renormalization group in connection with experimental results reported in the literature.

Authors:
;  [1];  [1];  [2];  [1];  [3]
  1. Department of Physics, 'Babes-Bolyai' University, 40084 Cluj Napoca (Romania)
  2. (United States)
  3. (Germany)
Publication Date:
OSTI Identifier:
20719819
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. B, Condensed Matter and Materials Physics; Journal Volume: 72; Journal Issue: 18; Other Information: DOI: 10.1103/PhysRevB.72.184414; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 36 MATERIALS SCIENCE; ANISOTROPY; BOSE-EINSTEIN CONDENSATION; CRITICAL FIELD; CRITICAL TEMPERATURE; MAGNONS; RENORMALIZATION; SPIN; SU-2 GROUPS; SYMMETRY; THREE-DIMENSIONAL CALCULATIONS; U-1 GROUPS

Citation Formats

Crisan, M., Grosu, I., Tifrea, I., Department of Physics and Astronomy, University of Iowa, Iowa City, Iowa 52242, Bodea, D., and Max Planck Institute for the Physics of Complex Systems, 01187 Dresden. Field-induced Bose-Einstein condensation of interacting dilute magnons in three-dimensional spin systems: A renormalization-group study. United States: N. p., 2005. Web. doi:10.1103/PhysRevB.72.184414.
Crisan, M., Grosu, I., Tifrea, I., Department of Physics and Astronomy, University of Iowa, Iowa City, Iowa 52242, Bodea, D., & Max Planck Institute for the Physics of Complex Systems, 01187 Dresden. Field-induced Bose-Einstein condensation of interacting dilute magnons in three-dimensional spin systems: A renormalization-group study. United States. doi:10.1103/PhysRevB.72.184414.
Crisan, M., Grosu, I., Tifrea, I., Department of Physics and Astronomy, University of Iowa, Iowa City, Iowa 52242, Bodea, D., and Max Planck Institute for the Physics of Complex Systems, 01187 Dresden. Tue . "Field-induced Bose-Einstein condensation of interacting dilute magnons in three-dimensional spin systems: A renormalization-group study". United States. doi:10.1103/PhysRevB.72.184414.
@article{osti_20719819,
title = {Field-induced Bose-Einstein condensation of interacting dilute magnons in three-dimensional spin systems: A renormalization-group study},
author = {Crisan, M. and Grosu, I. and Tifrea, I. and Department of Physics and Astronomy, University of Iowa, Iowa City, Iowa 52242 and Bodea, D. and Max Planck Institute for the Physics of Complex Systems, 01187 Dresden},
abstractNote = {We use the renormalization-group method to study the magnetic field influence on the Bose-Einstein condensation of interacting dilute magnons in three-dimensional spin systems. We first considered a model with SU(2) symmetry (universality class z=1) and we obtain for the critical magnetic field a power law dependence on the critical temperature, [H{sub c}(T)-H{sub c}(0)]{approx}T{sup 2}. In the case of U(1) symmetry (universality class z=2) the dependence is different, and the magnetic critical field depends linearly on the critical temperature, [H{sub c}(T)-H{sub c}(0)]{approx}T. By considering a more relevant model, which includes also the system's anisotropy, we obtain for the same symmetry class a T{sup 3/2} dependence of the magnetic critical field on the critical temperature. We discuss these theoretical predictions of the renormalization group in connection with experimental results reported in the literature.},
doi = {10.1103/PhysRevB.72.184414},
journal = {Physical Review. B, Condensed Matter and Materials Physics},
number = 18,
volume = 72,
place = {United States},
year = {Tue Nov 01 00:00:00 EST 2005},
month = {Tue Nov 01 00:00:00 EST 2005}
}