Thermal Critical Points and Quantum Critical End Point in the Frustrated Bilayer Heisenberg Antiferromagnet

J. Stapmanns, P. Corboz, F. Mila, A. Honecker, B. Normand, and S. Wessel
Phys. Rev. Lett. 121, 127201 – Published 17 September 2018
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Abstract

We consider the finite-temperature phase diagram of the S=1/2 frustrated Heisenberg bilayer. Although this two-dimensional system may show magnetic order only at zero temperature, we demonstrate the presence of a line of finite-temperature critical points related to the line of first-order transitions between the dimer-singlet and -triplet regimes. We show by high-precision quantum Monte Carlo simulations, which are sign-free in the fully frustrated limit, that this critical point is in the Ising universality class. At zero temperature, the continuous transition between the ordered bilayer and the dimer-singlet state terminates on the first-order line, giving a quantum critical end point, and we use tensor-network calculations to follow the first-order discontinuities in its vicinity.

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  • Received 14 June 2018

DOI:https://doi.org/10.1103/PhysRevLett.121.127201

© 2018 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

J. Stapmanns1, P. Corboz2, F. Mila3, A. Honecker4, B. Normand5, and S. Wessel1

  • 1Institut für Theoretische Festkörperphysik, JARA-FIT and JARA-HPC, RWTH Aachen University, 52056 Aachen, Germany
  • 2Institute for Theoretical Physics and Delta Institute for Theoretical Physics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, Netherlands
  • 3Institute of Physics, Ecole Polytechnique Fédérale Lausanne (EPFL), 1015 Lausanne, Switzerland
  • 4Laboratoire de Physique Théorique et Modélisation, CNRS UMR 8089, Université de Cergy-Pontoise, 95302 Cergy-Pontoise Cedex, France
  • 5Neutrons and Muons Research Division, Paul Scherrer Institute, 5232 Villigen-PSI, Switzerland

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Issue

Vol. 121, Iss. 12 — 21 September 2018

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