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Quantum critical point revisited by dynamical mean-field theory

Wenhu Xu, Gabriel Kotliar, and Alexei M. Tsvelik
Phys. Rev. B 95, 121113(R) – Published 31 March 2017

Abstract

Dynamical mean-field theory is used to study the quantum critical point (QCP) in the doped Hubbard model on a square lattice. The QCP is characterized by a universal scaling form of the self-energy and a spin density wave instability at an incommensurate wave vector. The scaling form unifies the low-energy kink and the high-energy waterfall feature in the spectral function, while the spin dynamics includes both the critical incommensurate and high-energy antiferromagnetic paramagnons. We use the frequency-dependent four-point correlation function of spin operators to calculate the momentum-dependent correction to the electron self-energy. By comparing with the calculations based on the spin-fermion model, our results indicate the frequency dependence of the quasiparticle-paramagnon vertices is an important factor to capture the momentum dependence in quasiparticle scattering.

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  • Received 19 May 2016
  • Revised 28 February 2017

DOI:https://doi.org/10.1103/PhysRevB.95.121113

©2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Wenhu Xu1, Gabriel Kotliar1,2, and Alexei M. Tsvelik1

  • 1Division of Condensed Matter Physics and Material Science, Brookhaven National Laboratory, Upton, New York 11973, USA
  • 2Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08854, USA

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Issue

Vol. 95, Iss. 12 — 15 March 2017

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