Generalized dynamical mean-field theory in the physics of strongly correlated systems

Kuchinskiǐ, É. Z.; Некрасов, И. А.; Sadovskiǐ, M. V.

doi:10.3367/ufnr.0182.201204a.0345

Cited by 27 publications

(36 citation statements)

References 177 publications

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“…In this paper, in the framework of DMFT+Σ generalization of dynamical mean field theory [17], we have studied and compared disorder effects in both repulsive and attractive Hubbard models. We examined both the problem of Mott -Hubbard and Anderson metal-insulator transitions in repulsive case, and BCS-BEC crossover region of attractive Hubbard model.…”

Section: Discussionmentioning

confidence: 99%

“…Generalized DMFT+Σ approach [14][15][16][17] extends the standard DMFT [5][6][7] introducing an additional self-energy Σ p (ε) (in general case momentum dependent), which is due to some interaction mechanism outside the DMFT. It gives an effective procedure to calculate both single-and two-particle properties [18,21].…”

Section: The Basics Of Dmft+σ Approach In Disordered Systemsmentioning

confidence: 99%

“…Actually, in the system of self -consistent equations DMFT+Σ equations [15,17,18] both the "bare" band spectrum and disorder scattering enter only on the stage of calculations of the local Green's function:…”

Section: The Basics Of Dmft+σ Approach In Disordered Systemsmentioning

confidence: 99%

“…In recent years we have developed the so called generalized DMFT+Σ approach [14][15][16][17], which is very convenient for the studies of different additional interactions in repulsive Hubbard model, such as pseudogap fluctuations [14][15][16][17], disorder [18,19], electron -phonon interaction [20]) etc. This approach is also well suited to analyze twoparticle properties, such as optical (dynamic) conductivity [18,21].…”

Section: Introductionmentioning

confidence: 99%

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DMFT+Σ approach to disordered hubbard model

Kuchinskiǐ¹,

Sadovskiǐ²

2016

J. Exp. Theor. Phys.

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We briefly review the generalized dynamical mean-field theory DMFT+Σ treatment of both repulsive and attractive disordered Hubbard models. We examine the general problem of metal-insulator transition and the phase diagram in repulsive case, as well as BCS-BEC crossover region of attractive model, demonstrating certain universality of single -electron properties under disordering in both models. We also discuss and compare the results for the density of states and dynamic conductivity in both repulsive and attractive case and the generalized Anderson theorem behavior for superconducting critical temperature in disordered attractive case. A brief discussion of Ginzburg -Landau coefficients behavior under disordering in BCS-BEC crossover region is also presented.

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Section: Discussionmentioning

confidence: 99%

Section: The Basics Of Dmft+σ Approach In Disordered Systemsmentioning

confidence: 99%

Section: The Basics Of Dmft+σ Approach In Disordered Systemsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

DMFT+Σ approach to disordered hubbard model

Kuchinskiǐ¹,

Sadovskiǐ²

2016

J. Exp. Theor. Phys.

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“…In recent years we have developed the generalized DMFT+Σ approach to Hubbard model [15][16][17][18][19][20], which is very convenient to the description of different additional "external" (as compared to DMFT) interactions. In particular, this approach is well suited to describe also the two -particle properties, such as optical (dynamic) conductivity [19,21].…”

Section: Introductionmentioning

confidence: 99%

Ginzburg–Landau expansion in strongly disordered attractive Anderson–Hubbard model

Kuchinskiǐ¹,

Kuleeva²,

Sadovskiǐ³

2017

J. Exp. Theor. Phys.

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We have studied disordering effects on the coefficients of Ginzburg -Landau expansion in powers of superconducting order -parameter in attractive Anderson -Hubbard model within the generalized DMFT+Σ approximation. We consider the wide region of attractive potentials U from the weak coupling region, where superconductivity is described by BCS model, to the strong coupling region, where superconducting transition is related with Bose -Einstein condensation (BEC) of compact Cooper pairs formed at temperatures essentially larger than the temperature of superconducting transition, and the wide range of disorder -from weak to strong, where the system is in the vicinity of Anderson transition. In case of semi -elliptic bare density of states disorder influence upon the coefficients A and B before the square and the fourth power of the order -parameter is universal for any value of electron correlation and is related only to the general disorder widening of the bare band (generalized Anderson theorem). Such universality is absent for the gradient term expansion coefficient C. In the usual theory of "dirty" superconductors the C coefficient drops with the growth of disorder. In the limit of strong disorder in BCS limit the coefficient C is very sensitive to the effects of Anderson localization, which lead to its further drop with disorder growth up to the region of Anderson insulator. In the region of BCS -BEC crossover and in BEC limit the coefficient C and all related physical properties are weakly dependent on disorder. In particular, this leads to relatively weak disorder dependence of both penetration depth and coherence lengths, as well as of related slope of the upper critical magnetic field at superconducting transition, in the region of very strong coupling.

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