Principal Chiral Model in Correlated Electron Systems

Cristian D. Batista, Mikhail Shifman, Zhentao Wang, and Shang-Shun Zhang
Phys. Rev. Lett. 121, 227201 – Published 28 November 2018

Abstract

We discuss noncollinear magnetic phenomena whose local order parameter is characterized by more than one spin vector. By focusing on the simple cases of 2D triangular and 3D pyrochlore lattices, we demonstrate that their low-energy theories can be described by a one-parametric class of sigma models continuously interpolating between the classical Heisenberg model and the principal chiral model Tr(aUaU) for all USU(2). The target space can be viewed as a U(1) fibration over the CP(1) space. The 3D version of our model is further generalized to break spatial and spin rotation symmetry SO(3)×SO(3)SO(3).

  • Figure
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  • Received 5 August 2018

DOI:https://doi.org/10.1103/PhysRevLett.121.227201

© 2018 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsParticles & Fields

Authors & Affiliations

Cristian D. Batista1,2, Mikhail Shifman3, Zhentao Wang1,*, and Shang-Shun Zhang1

  • 1Department of Physics and Astronomy, The University of Tennessee, Knoxville, Tennessee 37996, USA
  • 2Quantum Condensed Matter Division and Shull-Wollan Center, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
  • 3William I. Fine Theoretical Physics Institute, University of Minnesota, Minneapolis, Minnesota 55455, USA

  • *ztwang@utk.edu

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Issue

Vol. 121, Iss. 22 — 30 November 2018

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