scholarly journals Light-induced evaporative cooling of holes in the Hubbard model

2019 ◽  
Vol 10 (1) ◽  
Author(s):  
Philipp Werner ◽  
Martin Eckstein ◽  
Markus Müller ◽  
Gil Refael
Keyword(s):  
Mean Field Theory ◽  
Evaporative Cooling ◽  
Mean Field ◽  
Hole Doping ◽  
Antiferromagnetic Order ◽  
Atomic Gases ◽  
Fermi Liquids ◽  
General Strategy ◽  
Strongly Correlated ◽  
Chirped Pulses

AbstractAn elusive goal in the field of driven quantum matter is the induction of long-range order. Here, we propose a mechanism based on light-induced evaporative cooling of holes in a correlated fermionic system. Since the entropy of a filled narrow band grows rapidly with hole doping, the isentropic transfer of holes from a doped Mott insulator to such a band results in a drop of temperature. Strongly correlated Fermi liquids and symmetry-broken states could thus be produced by dipolar excitations. Using nonequilibrium dynamical mean field theory, we show that suitably designed chirped pulses may realize this cooling effect. In particular, we demonstrate the emergence of antiferromagnetic order in a system which is initially in a weakly correlated state above the maximum Néel temperature. Our work suggests a general strategy for inducing strong correlation phenomena in periodically modulated atomic gases in optical lattices or light-driven materials.

scholarly journals ANDERSON LOCALIZATION VS. MOTT–HUBBARD METAL–INSULATOR TRANSITION IN DISORDERED, INTERACTING LATTICE FERMION SYSTEMS

2010 ◽  
Vol 24 (12n13) ◽  
pp. 1727-1755 ◽  
Author(s):  
Krzysztof Byczuk ◽  
Walter Hofstetter ◽  
Dieter Vollhardt
Keyword(s):  
Anderson Localization ◽  
Mean Field Theory ◽  
Mean Field ◽  
Antiferromagnetic Order ◽  
Strongly Correlated ◽  
Theoretical Understanding ◽  
Particle Correlation ◽  
Fermion Systems ◽  
Disordered Lattice ◽  
Lattice Fermion

We review recent progress in our theoretical understanding of strongly correlated fermion systems in the presence of disorder. Results were obtained by the application of a powerful nonperturbative approach, the dynamical mean-field theory (DMFT), to interacting disordered lattice fermions. In particular, we demonstrate that DMFT combined with geometric averaging over disorder can capture Anderson localization and Mott insulating phases on the level of one-particle correlation functions. Results are presented for the ground state phase diagram of the Anderson–Hubbard model at half-filling, both in the paramagnetic phase and in the presence of antiferromagnetic order. We find a new antiferromagnetic metal which is stabilized by disorder. Possible realizations of these quantum phases with ultracold fermions in optical lattices are discussed.

Nature of Non-magnetic Strongly-Correlated State in Plutonium

2006 ◽  
Vol 986 ◽  
Author(s):  
Leniod Purovskii ◽  
Alexander Shick ◽  
Ladislav Havela ◽  
Mikhail Katsnelson ◽  
Alexander Lichtenstein
Keyword(s):  
Field Theory ◽  
Density Functional ◽  
Local Density ◽  
Mean Field Theory ◽  
Mean Field ◽  
Dynamical Mean Field Theory ◽  
Cubic Phase ◽  
Face Centered Cubic ◽  
Strongly Correlated ◽  
Starting Point

AbstractLocal density approximation for the electronic structure calculations has been highly successful for non-correlated systems. The LDA scheme quite often failed for strongly correlated materials containing transition metals and rare-earth elements with complicated charge, spin and orbital ordering. Dynamical mean field theory in combination with the first-principle scheme (LDA+DMFT) can be a starting point to go beyond static density functional approximation and include effects of charge, spin and orbital fluctuations. Ab-initio relativistic dynamical mean-field theory is applied to resolve the long-standing controversy between theory and experiment in the “simple” face-centered cubic phase of plutonium called δ-Pu. In agreement with experiment, neither static nor dynamical magnetic moments are predicted. In addition, the quasiparticle density of states reproduces not only the peak close to the Fermi level, which explains the large coefficient of electronic specific heat, but also main 5f features observed in photoelectron spectroscopy.

RECENT APPLICATIONS OF THE DMRG METHOD

2006 ◽  
Vol 20 (19) ◽  
pp. 2624-2635
Author(s):  
KAREN HALLBERG
Keyword(s):  
Degrees Of Freedom ◽  
Mean Field Theory ◽  
Mean Field ◽  
Finite Size ◽  
Strongly Correlated Systems ◽  
Strongly Correlated ◽  
Correlated Systems ◽  
Infinite Dimensional ◽  
Low Dimensional ◽  
Time Dependent Problems

Since its inception, the DMRG method has been a very powerful tool for the calculation of physical properties of low-dimensional strongly correlated systems. It has been adapted to obtain dynamical properties and to consider finite temperature, time-dependent problems, bosonic degrees of freedom, the treatment of classical problems and non-equilibrium systems, among others. We will briefly review the method and then concentrate on its latest developments, describing some recent successful applications. In particular we will show how the dynamical DMRG can be used together with the Dynamical Mean Field Theory (DMFT) to solve the associated impurity problem in the infinite-dimensional Hubbard model. This method is used to obtain spectral properties of strongly correlated systems. With this algorithm, more complex problems having a larger number of degrees of freedom can be considered and finite-size effects can be minimized.

PERIODICAL ANDERSON MODEL AND ELECTRON-PHONON INTERACTION

1993 ◽  
Vol 07 (01n03) ◽  
pp. 62-66
Author(s):  
IGOR S. SANDALOV
Keyword(s):  
Anderson Model ◽  
Mean Field Theory ◽  
Mean Field ◽  
Strongly Correlated Electrons ◽  
Correlated Electrons ◽  
Strongly Correlated ◽  
Zero Temperature ◽  
Phonon Interaction ◽  
Dynamic Matrix ◽  
Electron Phonon Interaction

The periodical Anderson model (PAM) is microscopically derived. It is shown that the PAM is a mean field theory for the electric potential. The mixing interaction (MI) consists of single- and two-particle contributions. The first is proportional to the overlap integral of localized and band wave functions and vanishes when band energies are on the Fermi surface. It leads to the absence of heavy-fermion effects in the theories based on the PAM with only this mixing term. Using the orthogonal basis this term vanishes only at zero temperature. Applicability of the Luttinger theorem to systems with strongly-correlated electrons (SSCE) is discussed. The phonon dynamic matrix and electron-phonon interaction (EPI) for SSCE are microscopically derived.

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