We review recent developments in the physics of ultracold atomic and molecular gases in
optical lattices. Such systems are nearly perfect realisations of various kinds of Hubbard …

The studies of high-temperature superconductors raise a fundamental question: Can a small
Fermi-surface phase, which violates the Luttinger theorem, exist and give rise to …

A mixture of ultracold bosons and fermions placed in an optical lattice constitutes a novel
kind of quantum gas, and leads to phenomena, which so far has been discussed neither in …

We discuss the theory of mixtures of bosonic and fermionic atoms in periodic potentials at
zero temperature. We derive a general Bose-Fermi Hubbard Hamiltonian in a one …

Motivated by recent surprising experimental findings, we develop a strong-coupling theory
for Bose-Fermi mixtures capable of treating resonant interspecies interactions while …

We show that one-dimensional binary mixtures of bosons or of a boson and a spin-polarized
fermion are Luttinger liquids with the following instabilities:(i) For different particle densities …

We report on the formation of a stable quantum degenerate mixture of fermionic Li 6 and
bosonic Cs 133 in an optical trap by sympathetic cooling near an interspecies Feshbach …

Recently, a 80 K superconductor was discovered in La3 Ni 2 O 7 under high pressure.
Density function theory (DFT) calculations identify dx 2-y 2, dz 2 as the active orbitals on the …

We investigate the properties of a dilute boson-fermion mixture at zero temperature. The
ground-state energy of the system is calculated to second order in the Bose-Fermi coupling …

We show the emergence of a strongly interacting Bose-Fermi mixture from a two-component
Fermi mixture with population imbalance. By analyzing in situ density profiles of Li 6 atoms …