Dimensional modulation of spontaneous magnetic order in quasi-two-dimensional quantum antiferromagnets

Shunsuke C. Furuya, Maxime Dupont, Sylvain Capponi, Nicolas Laflorencie, and Thierry Giamarchi
Phys. Rev. B 94, 144403 – Published 3 October 2016

Abstract

Spontaneous symmetry breaking is deeply related to the dimensionality of a system. The Néel order going with spontaneous breaking of U(1) symmetry is safely allowed at any temperature for three-dimensional systems but allowed only at zero temperature for purely two-dimensional systems. We closely investigate how smoothly the ordering process of the three-dimensional system is modulated into that of the two-dimensional one with reduction of dimensionality, considering spatially anisotropic quantum antiferromagnets. We first show that the Néel temperature is kept finite even in the two-dimensional limit although the Néel order is greatly suppressed for low dimensionality. This feature of the Néel temperature is highly nontrivial, which dictates how the order parameter is squashed under the reduction of dimensionality. Next, we investigate this dimensional modulation of the order parameter. We develop our argument taking as an example a coupled spin-ladder system relevant for experimental studies. The ordering process is investigated multidirectionally using theoretical techniques of a mean-field method combined with analytical (exact solutions of quantum field theories) or numerical (density-matrix renormalization-group) methods, a variational method, a renormalization-group study, linear spin-wave theory, and quantum Monte Carlo simulations. We show that these methods independent of each other lead to the same conclusion about the dimensional modulation.

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  • Received 18 July 2016

DOI:https://doi.org/10.1103/PhysRevB.94.144403

©2016 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Shunsuke C. Furuya1, Maxime Dupont2, Sylvain Capponi2, Nicolas Laflorencie2, and Thierry Giamarchi3

  • 1Condensed Matter Theory Laboratory, RIKEN, Wako, Saitama 351-0198, Japan
  • 2Laboratoire de Physique Théorique, Université de Toulouse, CNRS, UPS, 31062, France
  • 3Department of Quantum Matter Physics, University of Geneva, 24 Quai Ernest-Ansermet 1211 Geneva, Switzerland

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Issue

Vol. 94, Iss. 14 — 1 October 2016

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