Dynamical Mean-field Theories of Correlation and Disorder

Miranda, E.; Dobrosavljević, Vladimir

doi:10.1093/acprof:oso/9780199592593.003.0006

Cited by 5 publications

(3 citation statements)

References 130 publications

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“…Such a model is closely related to electronic models investigated in solid state physics [33], in particular correlated lattice electrons in random potentials; see, for example, refs. [34,35,36,37,38]. However, in solid state systems it is not possible (or, at least, not yet possible) to tune and manipulate spin-dependent potentials experimentally.…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic properties of correlated fermions in lattices with spin-dependent disorder

et al. 2013

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Motivated by the rapidly growing possibilities for experiments with ultracold atoms in optical lattices, we investigate the thermodynamic properties of correlated lattice fermions in the presence of an external spindependent random potential. The corresponding model, a Hubbard model with spin-dependent local random potentials, is solved within dynamical mean-field theory. This allows us to present a comprehensive picture of the thermodynamic properties of this system. In particular, we show that for a fixed total number of fermions spin-dependent disorder induces a magnetic polarization. The magnetic response of the polarized system differs from that of a system with conventional disorder.

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Section: Introductionmentioning

confidence: 99%

Thermodynamic properties of correlated fermions in lattices with spin-dependent disorder

et al. 2013

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“…(ii) After the phonon is replaced by the stochastic variable X j , the local electronic Green's function G j becomes a stochastic quantity itself, and one must solve the electron dynamics in the presence of a time-dependent disorder. This is achieved using a non-equilibrium generalization of statistical DMFT [39][40][41]. In the simulations, we explicitly treat 128 representative sites on the A and B sublattices, which give access on the full distribution of local properties.…”

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confidence: 99%

Inhomogeneous disordering at a photo-induced charge density wave transition

Picano¹,

Grandi²,

Eckstein³

2021

Preprint

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Using ultrashort laser pulses, it has become possible to probe the dynamics of long-range order in solids on microscopic timescales. In the conventional description of symmetry-broken phases within time-dependent Ginzburg-Landau theory, the order parameter evolves coherently, with small fluctuations along an average trajectory. Recent experiments, however, indicate that some systems can support a different scenario, named ultrafast inhomogeneous disordering, where the average order parameter is no longer representative of the state on the atomic scale. Here we theoretically show that ultrafast disordering can occur in a paradigmatic model for a Peierls instability if atomic scale inhomogeneities of both the electronic structure and the charge density wave order parameter are taken into account. The latter is achieved using a non-equilibrium generalization of statistical dynamical mean-field theory, coupled to stochastic differential equations for the order parameter.

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“…We solve Eq. ( 1) on a lattice of N s sites, using realspace DMFT [18][19][20], an extension of DMFT [8] introduced to treat inhomogeneous system. The key approximation is to assume a local, albeit site-dependent, self-energy matrix Σij = δ ij Σi .…”

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confidence: 99%

Inhomogeneous BCS-BEC crossover for trapped cold atoms in optical lattices

2014

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The BCS-BEC (Bose-Einstein condensation) crossover in a lattice is a powerful paradigm that describes how a superconductor deviates from the Bardeen-Cooper-Schrieffer physics as the attractive interaction increases. Optical lattices loaded with binary mixtures of cold atoms allow one to access this phenomenon experimentally in a clean and controlled way. We show that, however, the possibility to study this phenomenon in actual cold-atoms experiments is limited by the effect of the trapping potential. Real-space dynamical mean-field theory calculations show indeed that interactions and the confining potential conspire to pack the fermions in the center of the trap, which approaches a band insulator when the attraction becomes sizeable. Interestingly, the energy gap is spatially more homogeneous than the superfluid condensate order parameter. We show how this physics reflects in several observables, and we propose an alternative strategy to disentangle the effect of the harmonic potential and measure the intrinsic properties resulting from the interaction strength.

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Dynamical Mean-field Theories of Correlation and Disorder

Cited by 5 publications

References 130 publications

Thermodynamic properties of correlated fermions in lattices with spin-dependent disorder

Thermodynamic properties of correlated fermions in lattices with spin-dependent disorder

Inhomogeneous disordering at a photo-induced charge density wave transition

Inhomogeneous BCS-BEC crossover for trapped cold atoms in optical lattices

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