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Continuous Mott transition between a metal and a quantum spin liquid

Ryan V. Mishmash, Iván González, Roger G. Melko, Olexei I. Motrunich, and Matthew P. A. Fisher
Phys. Rev. B 91, 235140 – Published 23 June 2015

Abstract

More than half a century after first being proposed by Sir Nevill Mott, the deceptively simple question of whether the interaction-driven electronic metal-insulator transition may be continuous remains enigmatic. Recent experiments on two-dimensional materials suggest that when the insulator is a quantum spin liquid, lack of magnetic long-range order on the insulating side may cause the transition to be continuous, or only very weakly first order. Motivated by this, we study a half-filled extended Hubbard model on a triangular lattice strip geometry. We argue, through use of large-scale numerical simulations and analytical bosonization, that this model harbors a continuous (Kosterlitz-Thouless-like) quantum phase transition between a metal and a gapless spin liquid characterized by a spinon Fermi surface, i.e., a “spinon metal.” These results may provide a rare insight into the development of Mott criticality in strongly interacting two-dimensional materials and represent one of the first numerical demonstrations of a Mott insulating quantum spin liquid phase in a genuinely electronic microscopic model.

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  • Received 7 October 2014
  • Revised 21 May 2015

DOI:https://doi.org/10.1103/PhysRevB.91.235140

©2015 American Physical Society

Authors & Affiliations

Ryan V. Mishmash1,2, Iván González3, Roger G. Melko4,5, Olexei I. Motrunich6, and Matthew P. A. Fisher1

  • 1Department of Physics, University of California, Santa Barbara, California 93106, USA
  • 2Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena, California 91125, USA
  • 3Centro de Supercomputación de Galicia, Avda. de Vigo s/n, E-15705 Santiago de Compostela, Spain
  • 4Department of Physics and Astronomy, University of Waterloo, Ontario, N2L 3G1, Canada
  • 5Perimeter Institute for Theoretical Physics, Waterloo, Ontario, N2L 2Y5, Canada
  • 6Department of Physics, California Institute of Technology, Pasadena, California 91125, USA

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Issue

Vol. 91, Iss. 23 — 15 June 2015

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