Holon-doublon binding as the mechanism for the Mott transition

Peter Prelovšek, Jure Kokalj, Zala Lenarčič, and Ross H. McKenzie
Phys. Rev. B 92, 235155 – Published 31 December 2015

Abstract

We study the binding of a holon to a doublon in a half-filled Hubbard model as the mechanism of the zero-temperature metal-insulator transition. In a spin polarized system a single holon-doublon (HD) pair exhibits a binding transition on a 3D lattice, or a sharp crossover on a 2D lattice, corresponding well to the standard Mott transition in unpolarized systems. We extend the HD-pair study towards nonpolarized systems by considering more general spin background and by treating the finite HD density within a BCS-type approximation. Both approaches lead to a discontinuous transition away from the fully polarized system and give density correlations consistent with numerical results on a triangular lattice.

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  • Received 19 May 2015
  • Revised 11 December 2015

DOI:https://doi.org/10.1103/PhysRevB.92.235155

©2015 American Physical Society

Authors & Affiliations

Peter Prelovšek1,2, Jure Kokalj1, Zala Lenarčič1, and Ross H. McKenzie3

  • 1J. Stefan Institute, SI-1000 Ljubljana, Slovenia
  • 2Faculty of Mathematics and Physics, University of Ljubljana, SI-1000 Ljubljana, Slovenia
  • 3School of Mathematics and Physics, University of Queensland, Brisbane, 4072 Queensland, Australia

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Issue

Vol. 92, Iss. 23 — 15 December 2015

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