Nonequilibrium Dynamical Mean-Field Theory

Freericks, J. K.; Turkowski, Volodymyr; Zlatič, V.

doi:10.1103/physrevlett.97.266408

Cited by 299 publications

(421 citation statements)

References 22 publications

(23 reference statements)

Supporting

Mentioning

414

Contrasting

Order By: Relevance

“…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%

See 1 more Smart Citation

Dynamical Mean-Field Theory

Vollhardt

Byczuk

Kollar

2011

Springer Series in Solid-State Sciences

View full text Add to dashboard Cite

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]

show abstract

Section: Discussionmentioning

confidence: 99%

Section: Dmft For Nonequilibriummentioning

confidence: 99%

Dynamical Mean-Field Theory

Vollhardt

Byczuk

Kollar

2011

Springer Series in Solid-State Sciences

View full text Add to dashboard Cite

show abstract

“…The recent extension of the DMFT out of the equilibrium 5,6 , provides us with a reliable tool to clarify how correlation effects influence the non-equilibrium dynamics of quantum systems. Non-equilibrium DMFT has been successfully applied to study quantum quenches -sudden changes of some control parameter 7,8 , and to investigate driven correlated systems 5,9 .…”

Section: Introductionmentioning

confidence: 99%

Approach to a stationary state in a driven Hubbard model coupled to a thermostat

et al. 2012

View full text Add to dashboard Cite

“…[10] and [11,12], correspondingly). The success of these theories is based on their accuracy -the Bethe ansatz solution is exact in the one-dimensional case and DMFT is very accurate in the limit of high atomic coordination number (and exact in the limit of infinite dimensions/coordination number).…”

mentioning

confidence: 99%

“…(10) by using the momentumdependent Green's functions , , defined by the expression under the sum on the right hand side of Eq. (11). Below, in applications of the TDDFT+DMFT formalism we use the kernel Eq.…”

mentioning

confidence: 99%

Nonadiabatic exchange-correlation kernel for strongly correlated materials

Turkowski

Rahman

2017

J. Phys.: Condens. Matter

View full text Add to dashboard Cite

ABSTRACT. We formulate a rigorous method for calculating a nonadiabatic (frequencydependent) exchange-correlation (XC) kernel required for correct description of both equilibrium and nonequilibrium properties of strongly correlated systems within Time-Dependent Density Functional Theory (TDDFT). To do so we use the expression for charge susceptibility provided by Dynamical Mean Field Theory (DMFT) for the effective multi-orbital Hubbard Model. We tested our formalism by applying it to the one-band Hubbard model: our nonadiabatic kernel leads to a significant modification of the excitation spectrum, shifting the peak that appears in adiabatic (simplified) solutions and disclosing a new one, in agreement with the DMFT solution. We also used our method to track the nonequilibrium charge-density response of a multi-orbital perovskite Mott insulator, YTiO 3 , to a perturbation by a femtosecond (fs) laser pulse. The results were quite different from those provided by the corresponding adiabatic formalism. These initial investigations indicate that electron-electron correlations and nonadiabatic features can significantly affect the spectrum and nonequilibrium properties of strongly correlated systems. Introduction.--Correct description of the physical, including nonequilibrium, properties of strongly correlated electron systems is one of the most important goals of the condensed matter and material science communities. These systems demonstrate unusual properties with many potential applications both in bulk (high-temperature superconductivity, exotic interplay of magnetism and superconductivity, giant magneto-resistance, etc.) (see, for example Ref.[1]) and in the nanocase (for example, antiferromagnetism in small Fe chains, 2 exotic charge carrier generation in the insulating phase of a VO 2 nanosystem, 3 and anomalous lattice expansion 4,5 and room temperature ferromagnetism 6 in CeO 2 nanostructures). From the perspective of technological applications, nanostructures look even more promising than bulk, since they afford additional channels for tuning a system's properties by varying its size and geometry and by putting it on different substrates. Description of experimentally observed properties as well as prediction of new strongly correlated systems with desired properties requires reliable theoretical and computational tools.

show abstract

Nonequilibrium Dynamical Mean-Field Theory

Cited by 299 publications

References 22 publications

Dynamical Mean-Field Theory

Dynamical Mean-Field Theory

Approach to a stationary state in a driven Hubbard model coupled to a thermostat

Nonadiabatic exchange-correlation kernel for strongly correlated materials

Contact Info

Product

Resources

About