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We investigate the phase structure of spin-imbalanced unitary Fermi gases beyond mean-field theory by means of the Functional Renormalization Group. In this approach, quantum and thermal fluctuations are resolved in a systematic manner. The…

Quantum Gases · Physics 2015-01-26 I. Boettcher , J. Braun , T. K. Herbst , J. M. Pawlowski , D. Roscher , C. Wetterich

We present the analytical results at the mean-field level for the asymmetrical fermion system with attractive contact interaction at the zero temperature. The results can be expressed in terms of linear combinations of the elliptic…

Other Condensed Matter · Physics 2013-05-29 Wang-Chang Su

We study a trapped two-dimensional spin-imbalanced Fermi gas over a range of temperatures. In the moderate temperature regime, associated with current experiments, we find reasonable semi-quantitative agreement with the measured density…

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

In this thesis, we perform a comprehensive renormalization group analysis of two- and three-dimensional Fermi systems at low and zero temperature. We examine systems with spontaneous symmetry-breaking and quantum critical behavior by…

Strongly Correlated Electrons · Physics 2012-10-09 Philipp Strack

We study how a system of one-dimensional spin-1/2 fermions at temperatures well below the Fermi energy approaches thermal equilibrium. The interactions between fermions are assumed to be weak and are accounted for within the perturbation…

Mesoscale and Nanoscale Physics · Physics 2020-11-17 K. A. Matveev , Zoran Ristivojevic

The pairing of fermions is at the heart of superconductivity and superfluidity. The recent experimental realization of strongly interacting atomic Fermi gases has opened a new, controllable way to study novel forms of pairing and…

Soft Condensed Matter · Physics 2009-11-13 Yong-il Shin , Christian H. Schunck , Andre Schirotzek , Wolfgang Ketterle

We study the phase diagram of a two component Fermi system with a weak attractive interaction. Our analysis includes the leading order Hartree energy shifts and pairing correlations at finite temperature and chemical potential difference…

Superconductivity · Physics 2009-01-06 Rishi Sharma , Sanjay Reddy

Itinerant ferromagnetism in cold Fermi gases with repulsive interactions is studied applying the Jastrow-Slater approximation generalized to finite polarization and temperature. For two components at zero temperature a second order…

Quantum Gases · Physics 2015-05-20 Henning Heiselberg

We consider pairing in a three-component gas of degenerate fermions. In particular, we solve the finite temperature mean-field theory of an interacting gas for a system where both interaction strengths and fermion masses can be unequal. At…

Superconductivity · Physics 2009-11-11 T. Paananen , J. -P. Martikainen , P. Torma

We consider a trapped unbalanced Fermi gas at nonzero temperatures where the superfluid Sarma phase is stable. We determine in particular the phase boundaries between the superfluid, normal, and phase separated regions of the trapped…

Statistical Mechanics · Physics 2011-07-19 K. B. Gubbels , M. W. J. Romans , H. T. C. Stoof

Interacting fermions are ubiquitous in nature and understanding their thermodynamics is an important problem. We measure the equation of state of a two-component ultracold Fermi gas for a wide range of interaction strengths at low…

Quantum Gases · Physics 2010-06-03 Nir Navon , Sylvain Nascimbène , Frédéric Chevy , Christophe Salomon

We study the phase diagram of mass- and spin-imbalanced unitary Fermi gases, in search for the emergence of spatially inhomogeneous phases. To account for fluctuation effects beyond the mean-field approximation, we employ renormalization…

Quantum Gases · Physics 2015-06-11 Dietrich Roscher , Jens Braun , Joaquín E. Drut

We study the phase diagram of two-flavor massless QCD at finite baryon density by applying the functional renormalization group (FRG) for a quark-meson model with $\sigma, \pi$, and $\omega$ mesons. The dynamical fluctuations of quarks,…

High Energy Physics - Phenomenology · Physics 2018-01-09 Hui Zhang , Defu Hou , Toru Kojo , Bin Qin

We describe microcanonical phase transitions and instabilities of the ideal Fermi gas in general relativity at nonzero temperature confined in the interior of a spherical shell. The thermodynamic behaviour is governed by the compactness of…

General Relativity and Quantum Cosmology · Physics 2020-03-04 Zacharias Roupas , Pierre-Henri Chavanis

Itinerant ferromagnetism in dilute Fermi gases is predicted to emerge at values of the gas parameter where second-order perturbation theory is not accurate enough to properly describe the system. We have revisited perturbation theory for…

Quantum Gases · Physics 2024-08-07 Jordi Pera , Joaquim Casulleras , Jordi Boronat

We study the stability problem for a non-relativistic quantum system in dimension three composed by $ N \geq 2 $ identical fermions, with unit mass, interacting with a different particle, with mass $ m $, via a zero-range interaction of…

Mathematical Physics · Physics 2012-07-26 M. Correggi , G. Dell'Antonio , D. Finco , A. Michelangeli , A. Teta

Thermodynamics of degenerate Fermi gases has been extensively studied through various aspects such as Pauli blocking effects, collective modes, BCS superfluidity, and more. Despite this, multi-component fermions with imbalanced spin…

We focus on three-component SU(3) Fermi gases loaded into a square optical lattice, with population imbalance between one component and the others. At strong coupling the system is described by the SU(3) Heisenberg model with an external…

Quantum Gases · Physics 2023-06-27 Hayato Motegi , Giacomo Marmorini , Nobuo Furukawa , Daisuke Yamamoto

We consider a generic two-dimensional system of fermionic particles with attractive interactions and no disorder. If time-reversal symmetry is absent, it is possible to obtain incompressible insulating states in addition to the superfluid…

Superconductivity · Physics 2012-06-12 Predrag Nikolic

We revisit the phase diagram of strong-interaction matter for the two-flavor quark-meson model using the Functional Renormalization Group. In contrast to standard mean-field calculations, an unusual phase structure is encountered at low…

High Energy Physics - Phenomenology · Physics 2018-02-28 Ralf-Arno Tripolt , Bernd-Jochen Schaefer , Lorenz von Smekal , Jochen Wambach
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