Nonequilibrium Peierls Transition

Abstract

Nonequlibrium phase transition of an open Takayama-Lin Liu-Maki chain coupled with two reservoirs is investigated by combining a mean-field approximation and a formula characterizing nonequlibrium steady states, which is obtained from the algebraic field approach to nonequlibrium statistical mechanics. When the bias voltage is chosen to be a control parameter, the phase transition between ordered and normal phases is found to be first or second order. Then, the voltage-current characteristics is S-shaped in some parameter region. In contrast, when the current is chosen to be a control parameter, all the non-trivial solutions of the self-consistent equation are found to become stable. In this case, the phase transition between the ordered and normal phases is always second order and negative differential conductivity appears at low temperature.

30 pages, 21 frigures

Cited by in corpus (11)

• Nonequilibrium dynamical mean-field theory and its applications
• Charge and spin transport in strongly correlated one-dimensional quantum systems driven far from equilibrium
• Non-linear doublon production in a Mott insulator --- Landau-Dykhne method applied to an integrable model
• Current-Induced Gap Suppression in the Mott Insulator Ca${}_2$RuO${}_4$
• Current-induced giant diamagnetism in the Mott insulator Ca2RuO4
• Layered semiconductor EuTe 4 with charge density wave order in square tellurium sheets
• Nonequilibrium Quantum Phase Transitions in the XY model: comparison of unitary time evolution and reduced density matrix approaches
• Crossover from bias-induced to field-induced breakdowns in one-dimensional band and Mott insulators attached to electrodes
• Anomalous Thermoelectric Response in an Orbital-Ordered Oxide Near and Far from Equilibrium
• Roles of Potential Gradient and Electrode Bandwidth on Negative Differential Resistance in One-Dimensional Band Insulator
• Polaron formation as a genuine nonequilibrium phenomenon