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We present a general diagrammatic theory for determining consistent electromagnetic response functions in strongly correlated fermionic superfluids. The general treatment of correlations beyond BCS theory requires a new theoretical…

Superconductivity · Physics 2016-09-09 Rufus Boyack , Brandon M. Anderson , Chien-Te Wu , K. Levin

We present fundamental constraints required for a consistent linear response theory of fermionic superfluids and address temperatures both above and below the transition temperature $T_c$. We emphasize two independent constraints, one…

Quantum Gases · Physics 2013-06-11 Hao Guo , Chih-Chun Chien , Yan He , Kathryn Levin

To describe the tunneling dynamics of a stack of two-dimensional fermionic superfluids in an optical potential, we derive an effective action functional from a path integral treatment. This effective action leads, in the saddle point…

Condensed Matter · Physics 2007-05-23 M. Wouters , J. Tempere , J. T. Devreese

By using a Path Integral formalism, we study the fluctuating fields in the order parameter for a 3D uniform Fermi gas at T<Tc. The BCS-BEC crossover condition is included into the analysis in the framework of the usual s-wave scattering…

Strongly Correlated Electrons · Physics 2011-07-01 H. Vivas

We present a standard field theoretical derivation of the dynamic density and spin linear response functions of a dilute superfluid Fermi gas in the BCS-BEC crossover in both three and two dimensions. The derivation of the response…

Quantum Gases · Physics 2016-08-09 Lianyi He

We address the importance of symmetry and symmetry breaking on linear response theories of fermionic BCS superfluids. The linear theory of a noninteracting Fermi gas is reviewed and several consistency constraints are verified. The…

Superconductivity · Physics 2013-06-04 Hao Guo , Chih-Chun Chien , Yan He

We present a manifestly gauge invariant linear response theory for ultra-cold Fermi gases undergoing BCS-Bose-Einstein Condensation (BEC) crossover with pair fluctuation effect included, especially in the superfluid phase, by introducing an…

Quantum Gases · Physics 2018-07-25 Yan He , Hao Guo

Recent reflectivity measurements provide evidence for a "violation" of the in-plane optical integral in the underdoped high-T_c compound Bi_2Sr_2CaCu_2O_{8+\delta} up to frequencies much higher than expected by standard BCS theory. The sum…

Superconductivity · Physics 2009-11-07 T. Eckl , W. Hanke , E. Arrigoni

We study the combined effect of thermal and quantum fluctuations in a zero dimensional superconductor. By using path integral techniques, we obtain novel expressions for the partition function and the superconducting order parameter which…

Superconductivity · Physics 2012-04-05 Pedro Ribeiro , Antonio M. García-García

Most theoretical treatments of inhomogeneous superconductivity/fermionic superfluidity have been based on the Bogoliubov-deGennes equations (or, else, on their various simplified forms), which implement a standard mean-field decoupling in…

Superconductivity · Physics 2024-03-25 Leonardo Pisani , Verdiana Piselli , Giancarlo Calvanese Strinati

At finite temperature, the hydrodynamic collective modes of superfluid trapped Fermi gases are coupled to the motion of the normal component, which in the BCS limit behaves like a collisionless normal Fermi gas. The coupling between the…

Other Condensed Matter · Physics 2008-11-26 M. Urban

An integrating theoretical scenario of superconductivity and superfluidity has been built. It reduces to the special BCS superconductivity mechanism for conventional superconductor and to a new theory for high transition temperature…

Superconductivity · Physics 2007-05-23 Jie Han

Some notable systems, such as room-temperature superconductors and materials for controlled nuclear fusion, require an accurate description of finite-temperature quantum matter. Stochastic path integral methods are finite-temperature and…

Strongly Correlated Electrons · Physics 2026-04-06 Ingvars Vitenburgs , Jarvist Moore Frost

Different types of superfluid ground states have been investigated in systems of two species of fermions with Fermi surfaces that do not match. This study is relevant for cold atomic systems, condensed matter physics and quark matter. In…

Superconductivity · Physics 2016-09-21 Mucio A. Continentino , Igor T. Padilha

Superconductivity is studied for a fermionic system with attractive four-body interaction. Applying a Green function approach, the gap equation is derived. From the solution, the transition temperature is calculated. Under the condition…

Superconductivity · Physics 2008-02-12 P. Kleinert

We address the thermodynamics, density profiles and superfluid density of trapped fermions undergoing BCS-BEC crossover, with and without population imbalance. Our approach represents a fully consistent treatment of "pseudogap effects",…

Strongly Correlated Electrons · Physics 2011-09-13 Yan He , Chih-Chun Chien , Qijin Chen , K. Levin

We present a theoretical study of the compressibility, $\kappa$, in a Fermi gas with attractive contact interactions, providing predictions for the strongly-attractive regime and the superfluid phase. Our work emphasizes the compressibility…

Quantum Gases · Physics 2015-06-16 Hao Guo , Yan He , Chih-Chun Chien , K. Levin

Recent experimental progresses allow for exploring some important physical quantities of ultracold Fermi gases, such as the compressibility, spin susceptibility, viscosity, optical conductivity and spin diffusivity. Theoretically, these…

Quantum Gases · Physics 2016-06-27 Hao Guo , Yan He

We revisit the importance of collective-mode fluctuations and gauge invariance in the electromagnetic response of superconducting systems. In particular, we show that order-parameter fluctuations, gapless or not, have no contribution to the…

Superconductivity · Physics 2020-03-18 Rufus Boyack , Pedro L. S. Lopes

The BCS-BEC crossover realized experimentally with ultra-cold Fermi gases may be considered as one of the important scientific achievements occurred during the last several years. The flexibility for operating on these systems on the…

Quantum Gases · Physics 2024-03-20 Giancarlo Calvanese Strinati
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