2001/08/31 by Masaki Oshikawa, Ian Affleck · 10 citations
Physics and Astronomy · #Magnetic properties of thin films #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.stat-mech #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.65.134410
published as Phys. Rev. B 65, 134410 (2002). · 53 pages in REVTEX, 7 figures in EPS included; revised version with missing references and corrections
openalex publication_date 2002/03/19 · arxiv created 2002/09/07 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
A systematic field-theory approach to electron spin resonance (ESR) in the S=1/2 quantum antiferromagnetic chain at low temperature T (compared to the exchange coupling J) is developed. In particular, effects of a transverse staggered field h and an exchange anisotropy (including a dipolar interaction) \ensuremathδ on the ESR line shape are discussed. In the lowest order perturbation theory, the linewidth is given as \ensuremath∝Jh2/T2 and \ensuremath∝(\ensuremathδ/J)2T, respectively. In the case of a transverse staggered field, the perturbative expansion diverges at lower temperature; nonperturbative effects at very low temperature are discussed using exact results on the sine-Gordon field theory. We also compare our field-theory results with the predictions of Kubo-Tomita theory for the high-temperature regime, and discuss the crossover between the two regimes. It is argued that a naive application of the standard Kubo-Tomita theory to the Dzyaloshinskii-Moriya interaction gives an incorrect result. A rigorous and exact identity on the polarization dependence is derived for certain class of anisotropy, and compared with the field-theory results.