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Model lattices such as the kagome and Lieb lattices have been widely investigated to elucidate the properties of interacting flat-band systems. While a quasicrystal does not have proper bands, the non-interacting density of states of…

Strongly Correlated Electrons · Physics 2025-08-28 Yuxi Zhang , Richard T. Scalettar , Rafael M. Fernandes

In the framework of the two-band model of a doped semiconductor the self-consistent equations describing the transition into the excitonic insulator state are obtained for the 2D case. It is found that due to the exciton-electron…

Condensed Matter · Physics 2009-10-22 Michael N. Kiselev

The problem of pairing in anisotropic electron systems possessing patches of fermion condensate in the vicinity of the van Hove points is analyzed. Attention is directed to opportunities for the occurrence of non-BCS pairing correlations…

Strongly Correlated Electrons · Physics 2009-11-07 V. A. Khodel , J. W. Clark

We analyze the Coulomb interacting problem in undoped graphene layers by using an excitonic variational ansatz. By minimizing the energy, we derive a gap equation which reproduces and extends known results. We show that a full treatment of…

Strongly Correlated Electrons · Physics 2011-05-27 J. Sabio , F. Sols , F. Guinea

Although recent theoretical and experimental progress have considerably clarified pairing mechanisms in spin 1/2 fermionic superfluid with equally populated internal states, many open questions remain when the two spin populations are…

Statistical Mechanics · Physics 2016-08-14 Frédéric Chevy

We study quantum dynamics of an atomic Fermi system with a finite number of particles, N, after it is released from a harmonic trapping potential. We consider two different initial states: The Fermi sea state and the paired state described…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Pavel Nagornykh , Victor Galitski

We study the effects of the electron-electron interactions on the excitonic properties and charge-density modulations in the AB stacked double-layer (DL) graphene, placed in the external gate-potential $V$. The coexistence of the canted…

Strongly Correlated Electrons · Physics 2025-10-24 V. Apinyan , T. K. Kopeć

We consider pairing in a dilute system of Fermions with a short-range interaction. While the theory is ill-defined for a contact interaction, the BCS equations can be solved in the leading order of low-energy effective field theory. The…

Nuclear Theory · Physics 2011-07-18 Thomas Papenbrock , George F. Bertsch

It is known from the solution of the two-body problem that an anisotropic dipolar interaction can give rise to s-wave scattering resonances, which are named as dipolar interaction induced resonaces (DIIR). In this letter, we study…

Quantum Gases · Physics 2013-01-28 Ran Qi , Zhe-Yu Shi , Hui Zhai

Using effective field theory approach we study a homogeneous superfluid state with a single (gapless) Fermi surface, recently suggested as a possible phase for an ultracold Fermi gas with spin-population imbalance. We find an unconventional…

Superconductivity · Physics 2007-11-05 Vladimir M. Stojanovic , W. Vincent Liu , Yong Baek Kim

Strong interactions can give rise to new fermionic symmetry protected topological phases which have no analogs in free fermion systems. As an example, we have systematically studied a spinless fermion model with $U(1)$ charge conservation…

Strongly Correlated Electrons · Physics 2015-06-17 Shang-Qiang Ning , Hong-Chen Jiang , Zheng-Xin Liu

We theoretically investigate equal-mass spin-balanced two-component Fermi gases in which pairs of atoms with opposite spins interact via a short-range isotropic model potential. We probe the distinction between two-dimensional and…

Quantum Gases · Physics 2025-06-27 Emma K. Laird , Brendan C. Mulkerin , Jia Wang , Matthew J. Davis

We report calculations of equation of state of a model system, representative for a cold Fermi gas, of particles interacting via the P\"oschl-Teller interaction. In successively more sophisticated calculations, we determine the importance…

Quantum Gases · Physics 2019-01-30 Hsuan-Hao Fan , E. Krotscheck

We present exact solutions for the non-equilibrium steady states of a class of dissipative spinless fermionic systems with arbitrary Hamiltonian pairing terms, global charging energy interactions, and uniform single particle loss on every…

Quantum Physics · Physics 2026-05-12 Andrew Lingenfelter , Aashish A. Clerk

A mixture of heavy atoms in a Mott state and light spin-1/2 fermionic atoms is studied in an optical lattice. Inelastic scattering processes between both atomic species excite the heavy atoms and renormalize the tunneling rate as well as…

Statistical Mechanics · Physics 2008-03-30 K. Ziegler

We present an exact Quantum Monte Carlo study of the attractive 1-dimensional Hubbard model with imbalanced fermion population. The pair-pair correlation function, which decays monotonically in the absence of polarization P, develops…

Strongly Correlated Electrons · Physics 2009-11-13 G. G. Batrouni , M. H. Huntley , V. G. Rousseau , R. T. Scalettar

We examine the weakly interacting atoms in an ultracold Fermi gas leading to a state of macroscopic coherence, from a theoretical perspective. It has been shown that this state can be described as a fermionic coherent state. These coherent…

Quantum Physics · Physics 2013-04-05 Arnab Ghosh , Sudarson Sekhar Sinha , Deb Shankar Ray

We consider imbalanced Fermi gases with strong attractive interactions, for which Cooper-pair formation plays an important role. The two-component mixtures consist either of identical fermionic atoms in two different hyperfine states, or of…

Quantum Gases · Physics 2015-06-05 K. B. Gubbels , H. T. C. Stoof

We study the transient heat current out of a confined electron system into a weakly coupled electrode in response to a voltage switch. We show that the decay of the Coulomb interaction energy for this repulsive system exhibits signatures of…

Mesoscale and Nanoscale Physics · Physics 2016-02-23 J. Schulenborg , R. B. Saptsov , F. Haupt , J. Splettstoesser , M. R. Wegewijs

Interactions between quasiparticles are of fundamental importance and ultimately determine the macroscopic properties of quantum matter. A famous example is the phenomenon of superconductivity, which arises from attractive electron-electron…