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A two component model of negative U centers coupled with the Fermi sea of itinerant fermions is discussed in connection with high-temperature superconductivity of cuprates, and superfluidity of atomic fermions. We examine the phase…

Superconductivity · Physics 2009-11-10 A. S. Alexandrov

Theory of a condensed state of hybridised bosons and fermions is developed. Normal and anomalous Green's functions are obtained diagrammatically and analytically using the Hamiltonian of the boson-fermion model (BFM). A pairing of bosons…

Superconductivity · Physics 2007-05-23 A. S. Alexandrov

We analyze the quantum phase transition between a semimetal and a superfluid in a model of attractively interacting fermions with a linear dispersion. The quantum critical properties of this model cannot be treated by the Hertz-Millis…

Strongly Correlated Electrons · Physics 2011-06-06 P. Strack , S. Takei , W. Metzner

A model of hybridized bosons and fermions is studied beyond the mean field approximation. The divergent boson self-energy at zero temperature makes the Cooper pairing of fermions impossible.The frequency and momentum dependence of the self-…

Condensed Matter · Physics 2009-10-28 A. S. Alexandrov

We derive a dynamical mean-field theory for mixtures of interacting bosons and fermions on a lattice (BF-DMFT). The BF-DMFT is a comprehensive, thermodynamically consistent framework for the theoretical investigation of Bose-Fermi mixtures…

Quantum Gases · Physics 2022-06-15 Krzysztof Byczuk , Dieter Vollhardt

We study the low-energy behavior of metals coupled to gapless bosons. This problem arises in several contexts in modern condensed matter physics; we focus on the theory of metals near continuous quantum phase transitions (where the boson is…

Strongly Correlated Electrons · Physics 2014-06-06 A. Liam Fitzpatrick , Shamit Kachru , Jared Kaplan , Steven A. Kivelson , S. Raghu

The phase transition around the critical point in the evolution from spherical to deformed gamma-unstable shapes is investigated in odd nuclei within the Interacting Boson Fermion Model. We consider the particular case of an odd j=3/2…

Nuclear Theory · Physics 2008-11-26 C. E. Alonso , J. M. Arias , L. Fortunato , A. Vitturi

Phase transitions are investigated in the Bose-Fermi-Hubbard model in the mean field and hard-core boson approximations for the case of infinitely small fermion transfer and repulsive on-site boson-fermion interaction. The behavior of the…

Statistical Mechanics · Physics 2015-12-25 I. V. Stasyuk , V. O. Krasnov

We provide an analytic solution for the mean-field equations and for the relevant physical quantities at the Gaussian level, in terms of the complete elliptic integrals of the first and second kinds, for the crossover problem from BCS…

Superconductivity · Physics 2009-10-30 M. Marini , F. Pistolesi , G. C. Strinati

We study ultracold superfluid Bose-Fermi mixtures in three dimensions, with stronger confinement along one or two directions, using a non-perturbative beyond-mean-field model for bulk chemical potential valid along the weak-coupling to…

Quantum Gases · Physics 2023-08-29 Pardeep Kaur , Sandeep Gautam , S. K. Adhikari

We study two flavors of massless staggered fermions interacting via an on-site four-fermion inter- action and argue that the model contains an exotic quantum critical point separating the perturba- tive massless phase from a massive fermion…

High Energy Physics - Lattice · Physics 2015-12-01 Venkitesh Ayyar

We study the dynamics of a quantum critical boson coupled to a Fermi surface in intermediate energy regimes where the Landau damping of the boson can be parametrically controlled, either via large Fermi velocity or by large N techniques. We…

Strongly Correlated Electrons · Physics 2015-03-12 A. Liam Fitzpatrick , Shamit Kachru , Jared Kaplan , S. Raghu , Gonzalo Torroba , Huajia Wang

The boson-fermion model, describing a mixture of itinerant electrons hybridizing with tightly bound electron pairs represented as hard-core bosons, is here generalized with the inclusion of a term describing on-site Coulomb repulsion…

Strongly Correlated Electrons · Physics 2009-11-07 Alfonso Romano

Superfluid-insulator transitions in a one-dimensional mixture of two-color fermions and scalar bosons are studied within the framework of the Bose-Fermi-Hubbard model. Zero-temperature phase diagrams are constructed for repulsive…

Quantum Gases · Physics 2020-10-07 R. Avella , J. J. Mendoza-Arenas , R. Franco , J. Silva-Valencia

We use both Mutual Composite Fermion (MCF) and Composite Boson (CB) approach to study balanced and im-balanced Bi-Layer Quantum Hall systems (BLQH) and make critical comparisons between the two approaches. We find the CB approach is…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Jinwu Ye

The two-dimensional boson-fermion model of high-temperature superconductors, numerically studied by Domanski (Phys. Rev. B v.66, 134512 (2002)) is not a superconductor. The critical temperature of the model is zero for any symmetry of the…

Superconductivity · Physics 2016-08-31 A. S. Alexandrov

We reveal a quantum coherent state characterized by composite bosonic trions, wherein paired fermions further bind with bosons, in one-dimensional Bose-Fermi mixtures.This phase emerges in two separate models, both featuring onsite…

Quantum Gases · Physics 2025-07-04 Qi Song , Jie Lou , Yan Chen

We investigate phase transitions in boson-fermion systems. We propose an analytically solvable model (E(5/12)) to describe odd nuclei at the critical point in the transition from the spherical to $\gamma$-unstable behaviour. In the model, a…

Nuclear Theory · Physics 2008-11-26 C. E. Alonso , J. M. Arias , A. Vitturi

We investigate the formation of Bose-Einstein condensation and population imbalance in a three-component Fermi superfluid by increasing the U(3) invariant attractive interaction. We consider the system at zero temperature in three…

Quantum Gases · Physics 2011-04-06 Luca Salasnich

Using Density Matrix renormalization group (DMRG), we study the ground state properties of spin one-half fermions and scalar bosons in the soft-core limit, with weak s-wave inter and intra species interactions. We considered the system…

Quantum Gases · Physics 2021-04-30 J. Nisperuza , J. P. Rubio , R. Avella
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