Nonequilibrium Peierls Transition

Ajisaka, Shigeru; Nishimura, Haruhiko; Tasaki, Seiji; Terasaki, Ichiro

doi:10.1143/ptp.121.1289

Cited by 24 publications

(36 citation statements)

References 22 publications

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“…Such a state is theoretically predicted within a framework of steady-state thermostatistical physics. 40 Let us briefly discuss how the inhomogeneous state is related to the nonequilibrium state formed by excess carrier injection. We suggest that necessary conditions for such states are ͑1͒ the sliding motions of the charge order ͑the collective modes of the phase͒ are prohibited and ͑2͒ injected carriers should flow in the q 2 -type charge-ordered domains.…”

Section: Resultsmentioning

confidence: 99%

Giant nonlinear conduction from inhomogeneous charge order in rapidly cooledθ−(BEDT-TTF)2RbZn(SCN)

et al. 2009

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We find a giant nonlinear conduction in the charge-ordered organic salt -͑BEDT-TTF͒ 2 RbZn͑SCN͒ 4 in a rapidly cooled state from 34 to 99 K, which cannot be ascribed to a simple Joule heating. The observed voltage-current characteristics are essentially identical to those of the related organic salt -͑BEDT-TTF͒ 2 CsZn͑SCN͒ 4 , while the energy scale and the working temperatures are 1 order of magnitude higher. Considering that two kinds of charge-ordered domains coexist in this rapidly cooled state, we suggest that the inhomogeneity made of the two charge orders plays an essential role in the giant nonlinear conduction of the -type organic salts.

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Section: Resultsmentioning

confidence: 99%

Giant nonlinear conduction from inhomogeneous charge order in rapidly cooledθ−(BEDT-TTF)2RbZn(SCN)

et al. 2009

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“…The origin of the negative differential resistance is not fully understood yet. It might be explained by different Joule heating scenarios (Altshuler et al, 2009;Mori et al, 2009), or possibly by a nonequilibrium first-order phase transition, where the negative differential resistance is explained through a phase bistability (Ajisaka et al, 2009). A negative differential resistance is also found in a model in high-energy physics, namely, the supersymmetric QCD in the large-N limit (Nakamura, 2010(Nakamura, , 2012.…”

Section: Dielectric Breakdownmentioning

confidence: 97%

Nonequilibrium dynamical mean-field theory and its applications

et al. 2014

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The study of nonequilibrium phenomena in correlated lattice systems has developed into one of the most active and exciting branches of condensed matter physics. This research field provides rich new insights that could not be obtained from the study of equilibrium situations, and the theoretical understanding of the physics often requires the development of new concepts and methods. On the experimental side, ultrafast pump-probe spectroscopies enable studies of excitation and relaxation phenomena in correlated electron systems, while ultracold atoms in optical lattices provide a new way to control and measure the time evolution of interacting lattice systems with a vastly different characteristic time scale compared to electron systems. A theoretical description of these phenomena is challenging because, first, the quantum-mechanical time evolution of many-body systems out of equilibrium must be computed and second, strong-correlation effects which can be of a nonperturbative nature must be addressed. This review discusses the nonequilibrium extension of the dynamical mean field theory (DMFT), which treats quantum fluctuations in the time domain and works directly in the thermodynamic limit. The method reduces the complexity of the calculation via a mapping to a selfconsistent impurity problem, which becomes exact in infinite dimensions. Particular emphasis is placed on a detailed derivation of the formalism, and on a discussion of numerical techniques, which enable solutions of the effective nonequilibrium DMFT impurity problem. Insights gained into the properties of the infinite-dimensional Hubbard model under strong nonequilibrium conditions are summarized. These examples illustrate the current ability of the theoretical framework to reproduce and understand fundamental nonequilibrium phenomena, such as the dielectric breakdown of Mott insulators, photodoping, and collapse-and-revival oscillations in quenched systems. Furthermore, remarkable novel phenomena have been predicted by the nonequilibrium DMFT simulations of correlated lattice systems, including dynamical phase transitions and field-induced repulsion-to-attraction conversions.

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“…al. [25], where negative differential resistance is explained through a phase bi-stability. Negative differential resistance was also found in a model in high energy physics, namely the supersymmetric QCD in the large N limit [26].…”

Section: A Threshold Of 1d Mott Insulatorsmentioning

confidence: 99%

Nonlinear doublon production in a Mott insulator: Landau-Dykhne method applied to an integrable model

2012

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Doublon-hole pair production which takes place during dielectric breakdown in a Mott insulator subject to a strong laser or a static electric field is studied in the one-dimensional Hubbard model. Two nonlinear effects cause the excitation, i.e., multi-photon absorption and quantum tunneling. Keldysh crossover between the two mechanisms occurs as the field strength and photon energy is changed. The calculation is done analytically by the Landau-Dykhne method in combination with the Bethe ansatz solution and the results are compared with those of the time dependent density matrix renormalization group. Using this method, we calculate distribution function of the generated doublon-hole pairs and show that it drastically changes as we cross the Keldysh crossover line. After calculating the tunneling threshold for several representative one-dimensional Mott insulators, possible experimental tests of the theory is proposed such as angle resolved photoemission spectroscopy of the upper Hubbard band in the quantum tunneling regime. We also discuss the relation of the present theory with a many-body extension of electron-positron pair production in nonlinear quantum electrodynamics known as the Schwinger mechanism.

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Nonequilibrium Peierls Transition

Cited by 24 publications

References 22 publications

Giant nonlinear conduction from inhomogeneous charge order in rapidly cooledθ−(BEDT-TTF)2RbZn(SCN)

Giant nonlinear conduction from inhomogeneous charge order in rapidly cooledθ−(BEDT-TTF)2RbZn(SCN)

Nonequilibrium dynamical mean-field theory and its applications

Nonlinear doublon production in a Mott insulator: Landau-Dykhne method applied to an integrable model

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