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Within a Lagrangian formalism we derive the time-dependent Gutzwiller approximation for general multi-band Hubbard models. Our approach explicitly incorporates the coupling between time-dependent variational parameters and a time-dependent…

强关联电子 · 物理学 2015-06-15 J. Bünemann , M. Capone , J. Lorenzana , G. Seibold

We present a novel approach to long-range correlations beyond dynamical mean-field theory through a ladder approximation to dual fermions. The new technique is applied to the two-dimensional Hubbard model. We demonstrate that the…

强关联电子 · 物理学 2013-05-29 H. Hafermann , G. Li , A. N. Rubtsov , M. I. Katsnelson , A. I. Lichtenstein , H. Monien

Nonlocal correlations play an essential role in correlated electron systems, especially in the vicinity of phase transitions and crossovers, where two-particle correlation functions display a distinct momentum dependence. In nonequilibrium…

强关联电子 · 物理学 2023-06-29 Olivier Simard , Philipp Werner

We propose a new semiclassical approach based on the dynamical mean field theory to treat the interactions of electrons with local lattice fluctuations. In this approach the classical (static) phonon modes are treated exactly whereas the…

强关联电子 · 物理学 2009-11-07 S. Blawid , A. Deppeler , A. J. Millis

An effective field theory exists describing a very large class of biophysically interesting Coulomb gas systems: the lowest order (mean-field) version of this theory takes the form of a generalized Poisson-Boltzmann theory. Interaction…

高能物理 - 格点 · 物理学 2008-11-26 Anthony Duncan

We consider the photodissociation of ground-state bosonic molecules trapped in an optical lattice potential into two-component fermionic atoms. The system is assumed to be described by a one-band resonantly-coupled Bose-Fermi Hubbard model.…

其他凝聚态物理 · 物理学 2009-11-11 Takahiko Miyakawa , Pierre Meystre

Interacting bosons or fermions give rise to some of the most fascinating phases of matter, including high-temperature superconductivity, the fractional quantum Hall effect, quantum spin liquids and Mott insulators. While these systems are…

We present a mapping of elementary fermion operators onto a quadratic form of composite fermionic and bosonic operators. The mapping is an exact isomorphism as long as the physical constraint of one composite particle per cluster is…

We investigate fermionic quantum field theories using functional renormalisation. In the limit of many fermion flavours $N$, we demonstrate that theories have exact solutions for their quantum effective actions given by quasi-local…

高能物理 - 理论 · 物理学 2025-02-10 Charlie Cresswell-Hogg , Daniel F. Litim

We discuss the free-energy density of bosonic and fermionic theories possessing strongly coupled critical points in D=3. We construct a stationary renormalization group trajectory which interpolates between the free massless theory of N…

高能物理 - 理论 · 物理学 2016-09-06 Anastasios C. Petkou , George Siopsis

As discovered in the quantum Hall effect, a very effective way for strongly-repulsive electrons to minimize their potential energy is to aquire non-zero relative angular momentum. We pursue this mechanism for interacting two-dimensional…

强关联电子 · 物理学 2009-10-31 Leon Balents , Matthew P. A. Fisher , Chetan Nayak

We present a purely diagrammatic derivation of the dual fermion scheme [Phys. Rev. B 77 (2008) 033101]. The derivation makes particularly clear that a similar scheme can be developed for an arbitrary reference system provided it has the…

Effective field theory (EFT) methods are applied to density functional theory (DFT) as part of a program to systematically go beyond mean-field approaches to medium and heavy nuclei. A system of fermions with short-range, natural…

核理论 · 物理学 2007-05-23 S. J. Puglia , A. Bhattacharyya , R. J. Furnstahl

We investigate magnetic and charge correlations in graphene by using the formulation of extended dynamical mean-field theory (E-DMFT) for two-sublattice systems. First, we map the average non-local interaction onto the effective static…

强关联电子 · 物理学 2022-01-03 A. A. Katanin

Density functional theory has become the workhorse of quantum physics, chemistry, and materials science. Within these fields, a broad range of applications needs to be covered. These applications range from solids to molecular systems, from…

化学物理 · 物理学 2025-01-20 Christof Holzer , Yannick J. Franzke

This paper is dedicated to formulate the interaction picture dynamics of the self-dual field minimally coupled to fermions. To make this possible, we start by quantizing the free self-dual model by means of the Dirac bracket quantization…

高能物理 - 理论 · 物理学 2014-11-18 H. O. Girotti

We develop a real-space extension of the dual fermion approach. This method is formulated in terms of real-space Green's functions and local vertex functions, which enables us to discuss local and nonlocal correlations in inhomogeneous…

强关联电子 · 物理学 2018-01-09 Nayuta Takemori , Akihisa Koga , Hartmut Hafermann

We explore the life time of excitations in a dispersive Luttinger liquid. We perform a bosonization supplemented by a sequence of unitary transformations that allows us to treat the problem in terms of weakly interacting quasiparticles. The…

强关联电子 · 物理学 2014-09-24 I. V. Protopopov , D. B. Gutman , A. D. Mirlin

We present a strategy for mapping the dynamics of a fermionic quantum system to a set of classical dynamical variables. The approach is based on imposing the correspondence relation between the commutator and the Poisson bracket, preserving…

量子物理 · 物理学 2020-09-29 Amikam Levy , Wenjie Dou , Eran Rabani , David T. Limmer

The use of effective local Coulomb interactions that are dynamical, that is, frequency-dependent, is an efficient tool to describe the effect of long-range Coulomb interactions and screening thereof in solids. The dynamical character of the…

强关联电子 · 物理学 2015-12-29 Silke Biermann , Ambroise van Roekeghem