Correlated electron systems periodically driven out of equilibrium:<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mtext>Floquet</mml:mtext><mml:mo>+</mml:mo><mml:mtext>DMFT</mml:mtext></mml:mrow></mml:math>formalism

Tsuji, Naoto; Oka, Takashi; Aoki, Hideo

doi:10.1103/physrevb.78.235124

Cited by 197 publications

(285 citation statements)

References 34 publications

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“…For this reason the DMFT has now become the standard mean-field theory for fermionic correlation problems, including cold atoms in optical lattices [174][175][176]. The study of models in nonequilib-rium using an appropriate generalization of DMFT has become yet another fascinating new research area [149,[151][152][153][156][157][158][159][160][161][162][163][164][165][166][167][168][169].…”

Section: Discussionmentioning

confidence: 99%

“…Nonequilibrium DMFT was used to obtain the response of time-resolved photoemission [155][156][157] and optical spectroscopy [158] in correlated systems in terms of Green functions of the electronic system. The Falicov-Kimball and Hubbard models were studied in the presence of dc and ac electric fields [149,[159][160][161][162][163][164][165][166]157], as well as for abrupt [167,158,156,152,151,153] or slow changes [168,169] of the interaction parameter as a function of time.…”

Section: Dmft For Nonequilibriummentioning

confidence: 99%

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Dynamical Mean-Field Theory

Vollhardt

Byczuk

Kollar

2011

Springer Series in Solid-State Sciences

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Abstract. The dynamical mean-field theory (DMFT) is a widely applicable approximation scheme for the investigation of correlated quantum many-particle systems on a lattice, e.g., electrons in solids and cold atoms in optical lattices. In particular, the combination of the DMFT with conventional methods for the calculation of electronic band structures has led to a powerful numerical approach which allows one to explore the properties of correlated materials. In this introductory article we discuss the foundations of the DMFT, derive the underlying self-consistency equations, and present several applications which have provided important insights into the properties of correlated matter. Motivation Electronic CorrelationsAlready in 1937, at the outset of modern solid state physics, de Boer and Verwey [1] drew attention to the surprising properties of materials with incompletely filled 3d-bands. This observation prompted Mott and Peierls [2] to discuss the interaction between the electrons. Ever since transition metal oxides (TMOs) were investigated intensively [3]. It is now well-known that in many materials with partially filled electron shells, such as the 3d transition metals V and Ni and their oxides, or 4f rare-earth metals such as Ce, electrons occupy narrow orbitals. The spatial confinement enhances the effect of the Coulomb interaction between the electrons, making them "strongly correlated". Correlation effects can lead to profound quantitative and qualitative changes of the physical properties of electronic systems as compared to non-interacting particles. In particular, they often respond very strongly to changes in external parameters. This is expressed by large renormalizations of the response functions of the system, e.g., of the spin susceptibility and the charge compressibility. In particular, the interplay between the spin, charge and orbital degrees of freedom of the correlated d and f electrons and with the lattice degrees of freedom leads to an amazing multitude of ordering phenomena and other fascinating properties, including high temperature superconductivity, colossal magnetoresistance and Mott metal-insulator transitions [3].arXiv:1109.4833v1 [cond-mat.str-el]

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Section: Discussionmentioning

confidence: 99%

Section: Dmft For Nonequilibriummentioning

confidence: 99%

Dynamical Mean-Field Theory

Vollhardt

Byczuk

Kollar

2011

Springer Series in Solid-State Sciences

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“…Two dissipation mechanisms have so far been considered within DMFT: (i) the free-fermion bath (Büttiker model, Sec. II.A.2.b), in which one additional reservoir of particles is coupled to each lattice site (Tsuji, Oka, and Aoki, 2009;Amaricci et al, 2012;Aron, 2012;, and (ii) the coupling to a bath of harmonic oscillator modes Werner, 2013a, 2013c;Kemper et al, 2013). For the Büttiker model, the systembath coupling is bilinear in the fermion creation and annihilation operators, such that additional degrees of freedom can be integrated out exactly.…”

Section: Dissipative Systemsmentioning

confidence: 99%

“…When the system is excited by an external field, the energy injected from the field flows to the bath, resulting in the energy dissipation. The simplest model of the heat bath, that can be solved analytically, is a free-fermion bath (Tsuji, Oka, and Aoki, 2009;Amaricci et al, 2012;Aron, 2012; defined by…”

Section: B Free-fermion Bathmentioning

confidence: 99%

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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“…Further the concept of DL has recently been extended to trapped atoms in BoseEinstein condensates [22], Cooper pairs in Josephson qubits [23], and correlated electron systems [24].…”

Section: Introductionmentioning

confidence: 99%

Instability of dynamic localization in the intense terahertz-driven semiconductor Wannier-Stark ladder due to the dynamic Fano resonance

et al. 2010

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The lifetime of an electronic Floquet state in a semiconductor Wannier-Stark ladder (WSL) driven by an intense monochromatic THz wave is examined based on the R-matrix Floquet theory, in which an excess density of state (DOS) corresponding to the lifetime is calculated. It is revealed that the dynamic localization (DL) characteristic of this system is unstable against Fano resonance (FR)-like inter-miniband decay mechanism caused by THz-mediated ac-Zener tunneling; in this study, this is termed as dynamic Fano resonance (DFR). The DFR is considered to be a new FR mechanism characterized by both tunable ac-ZT coupling and coexistence with shape resonance.The result obtained here is in sharp contrast with the conventional understanding without the introduction of DFR, in which the DL is very stable such that its lifetime is comparable to or greater than that of the associated WSL. It is found that the DFR mechanism generally becomes more dominant with an increase in the strength of the bias field. Further, we discuss the observation that the spectral pattern of the excess DOS is more involved for a single-photon resonant transition, namely, Ω = ω, than that for a two-photon resonant transition, namely, Ω = 2ω, where Ω and ω represent a Bloch frequency and a THz frequency, respectively. In addition, the criterion for the applicability of the DFR to the present system is also obtained.

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Correlated electron systems periodically driven out of equilibrium:Floquet+DMFTformalism

Cited by 197 publications

References 34 publications

Dynamical Mean-Field Theory

Dynamical Mean-Field Theory

Nonequilibrium dynamical mean-field theory and its applications

Instability of dynamic localization in the intense terahertz-driven semiconductor Wannier-Stark ladder due to the dynamic Fano resonance

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