S=12 kagome Heisenberg antiferromagnet revisited

Andreas M. Läuchli, Julien Sudan, and Roderich Moessner
Phys. Rev. B 100, 155142 – Published 28 October 2019

Abstract

We examine the perennial quantum spin liquid candidate S=12 Heisenberg antiferromagnet on the kagome lattice. Our paper is based on achieving Lanczos diagonalization of the Hamiltonian on a 48 site cluster in sectors with dimensions as large as 5×1011. The results reveal intricate structures in the low-lying energy spectrum. These structures by no means unambiguously support a Z2 spin liquid ground state, but instead appear compatible with several scenarios, including fourfold topological degeneracy, inversion symmetry breaking, and a combination thereof. We discuss finite-size effects, such as the apparent absence of the eigenstate thermalization hypothesis, and note that, while considerably reduced, some are still present for the largest cluster. Finally, we observe that an XXZ model in the Ising limit reproduces remarkably well the most striking features of finite-size spectra.

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  • Received 5 December 2016
  • Revised 7 October 2019

DOI:https://doi.org/10.1103/PhysRevB.100.155142

©2019 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsStatistical Physics & Thermodynamics

Authors & Affiliations

Andreas M. Läuchli1, Julien Sudan2, and Roderich Moessner3

  • 1Institut für Theoretische Physik, Universität Innsbruck, A-6020 Innsbruck, Austria
  • 2Rue du Stand 16, CH-2053 Cernier, Switzerland
  • 3Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, D-01187 Dresden, Germany

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Issue

Vol. 100, Iss. 15 — 15 October 2019

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