We study the flat-band ferromagnetic phase of a spinfull and time-reversal symmetric Haldane-Hubbard model on honeycomb lattice within bosonization formalism for ${\mathrm{Z}}_{2}$ topological insulators. Such extends our previous one [Phys. Rev. B 104, 155129 (2021)] concerning correlated Chern insulator described by model. consider Hubbard at $1/4$ filling its corresponding noninteracting lim...

Cold atom optical lattices typically simulate zero-range Hubbard models. We discuss the theoretical possibility of using excited states of optical lattices to generate extended range Hubbard models. We find that bosons confined to higher bands of optical lattices allow for a rich phase diagram, including the supersolid phase. Using Gutzwiller, mean-field theory we establish the parameter regime...

In a recent paper we provided an exact probabilistic expression for the real time or the imaginary time evolution of a Fermi system, in particular a Hubbard model, in terms of an associated stochastic dynamics of a collection of Poisson processes. Here, we generalize the result to the case of a Hubbard model with siteand spin-dependent hopping coefficients and site-dependent interactions. This ...

Abstract We prove that the flow of discrete nonlinear Schrödinger equation (DNLS) is mean field limit quantum dynamics Bose–Hubbard model for N interacting particles. In particular, we show Wick symbol annihilation operators evolved in Heisenberg picture converges, as becomes large, to solution DNLS. A quantitative $$L^p$$ <mm...

there are many different ways to subdivide the spectrum of a bounded linear operator; some of them aremotivated by applications to physics (in particular, quantum mechanics). in this study, the relationship betweenthe subdivisions of spectrum which are not required to be disjoint and goldberg's classification are given.moreover, these subdivisions for some summability methods are studied.

We display an interesting sum rule for the dynamical thermal conductivity for many standard models of condensed matter in terms of the expectation of a thermal operator. We present the thermal operator for several model systems of current interest, which enable an evaluation of the sum rule and the Lorentz number, the thermoelectric figure of merit as well as the thermopower at high frequencies...

Using the description in terms of the Hubbard operators hole and spin Green’s functions of the two-dimensional t-J model are calculated in an approximation which retains the rotation symmetry of the spin susceptibility in the paramagnetic state and has no predefined magnetic ordering. In this approximation, Green’s functions are represented by continued fractions which are interrupted with the ...

An approach which allows to include the corrections from non-orthogonality of electron states in contacts and quantum dots is developed. Comparison of the energy levels and charge distributions of electrons in 1D quantum dot (QD) in equilibrium, obtained within orthogonal (OR) and non-orthogonal representations (NOR), with the exact ones shows that the NOR provides a considerable improvement, f...

*Correspondence: [email protected] 1Fakultät für Physik, Universität Duisburg-Essen, Lotharstrasse 1, Duisburg, 47057, Germany Full list of author information is available at the end of the article Abstract We study a quantum quench in the Bose-Hubbard model where the tunneling rate J is suddenly switched from zero to a finite value in the Mott regime. In order to solve the many-b...