Nonthermal Antiferromagnetic Order and Nonequilibrium Criticality in the Hubbard Model

Naoto Tsuji, Martin Eckstein, and Philipp Werner
Phys. Rev. Lett. 110, 136404 – Published 28 March 2013
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Abstract

We study dynamical phase transitions from antiferromagnetic to paramagnetic states driven by an interaction quench in the fermionic Hubbard model using the nonequilibrium dynamical mean-field theory. We identify two dynamical transition points where the relaxation behavior qualitatively changes: one corresponds to the thermal phase transition at which the order parameter decays critically slowly in a power law t1/2, and the other is connected to the existence of nonthermal antiferromagnetic order in systems with effective temperature above the thermal critical temperature. The frequency of the amplitude mode extrapolates to zero as one approaches the nonthermal (quasi)critical point, and thermalization is significantly delayed by the trapping in the nonthermal state. A slow relaxation of the nonthermal order is followed by a faster thermalization process.

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  • Received 29 September 2012

DOI:https://doi.org/10.1103/PhysRevLett.110.136404

© 2013 American Physical Society

Authors & Affiliations

Naoto Tsuji1, Martin Eckstein2, and Philipp Werner1

  • 1Department of Physics, University of Fribourg, 1700 Fribourg, Switzerland
  • 2Max Planck Research Department for Structural Dynamics, University of Hamburg-CFEL, 22607 Hamburg, Germany

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Issue

Vol. 110, Iss. 13 — 29 March 2013

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