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We theoretically explore the crossover from three dimensions (3D) to two (2D) in a strongly interacting atomic Fermi superfluid through confining the transverse spatial dimension. Using the gaussian pair fluctuation theory, we determine the…

Quantum Gases · Physics 2017-10-18 Umberto Toniolo , Brendan C. Mulkerin , Chris J. Vale , Xia-Ji Liu , Hui Hu

We study the effects of spin-antisymmetric interactions on the stability of a Landau-Fermi liquid on the square lattice, using the generalized Pomeranchuk method for two-dimensional lattice systems. In particular, we analyze interactions…

Strongly Correlated Electrons · Physics 2017-07-24 P. Rodriguez Ponte , D. C. Cabra , N. Grandi

We study the Kohn-Luttinger effect in a two-dimensional (2D) nested Fermion liquid with a repulsive interaction via the renormalization group method and identify the resulting order parameter symmetry. Using the band structure of the 2D…

Strongly Correlated Electrons · Physics 2009-10-28 Hyok-Jon Kwon

An introductory survey of the theoretical ideas and calculations and the experimental results which depart from Landau Fermi-liquids is presented. Common themes and possible routes to the singularities leading to the breakdown of Landau…

Strongly Correlated Electrons · Physics 2009-11-07 C. M. Varma , Z. Nussinov , W. van Saarloos

In interaction-dominated two-dimensional electron gases at intermediate temperatures, electron transport is not diffusive as in the conventional Drude picture but instead hydrodynamic. The relevant transport coefficient in this regime is…

Mesoscale and Nanoscale Physics · Physics 2023-12-18 Ulf Gran , Eric Nilsson , Johannes Hofmann

We investigate theoretically and numerically the effect of polymer additives on two-dimensional turbulence by means of a viscoelastic model. We provide compelling evidence that at vanishingly small concentrations, such that the polymers are…

Chaotic Dynamics · Physics 2009-11-10 G. Boffetta , A. Celani , S. Musacchio

We present in a local form the time dependent effective description of a superfluid Fermi liquid which includes Landau damping effects at $T\neq 0$. This is achieved by the introduction of an additional variable, the quasiparticle…

Quantum Gases · Physics 2011-05-10 Manuel Valle

Nonequilibrium transport measurements in mesoscopic quasi-ballistic 2D electron systems show an enhancement in the differential conductance around the Fermi energy. At very low temperatures, such a zero-bias anomaly splits, leading to a…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Arindam Ghosh , Matthew Wright , Christophe Siegert , Michael Pepper , Ian Farrer , Chris Ford , David Ritchie

Presenting exact solutions for the two dimensional periodic Anderson model with finite and nonzero on-site interaction U>0, we are describing a rigorous non-Fermi liquid phase in normal phase and 2D. This new state emerges in multi-band…

Strongly Correlated Electrons · Physics 2009-11-07 Peter Gurin , Zsolt Gulacsi

Characterizing and accessing quantum phases of itinerant bosons or fermions in two dimensions (2D) that exhibit singular structure along surfaces in momentum space but have no quasi-particle description remains as a central challenge in the…

Strongly Correlated Electrons · Physics 2008-12-17 Matthew P. A. Fisher , Olexei I. Motrunich , Donna N. Sheng

We study collective behavior of Fermi gases trapped in various external potentials, including optical lattices (OLs), in the framework of the mean-field (hydrodynamic) description. Using the variational method, we derive effective dynamical…

Quantum Gases · Physics 2012-07-10 Pablo Díaz , David Laroze , Iván Schmidt , Boris Malomed

We model nematic liquid crystal configurations inside three-dimensional prisms, with a polygonal cross-section and Dirichlet boundary conditions on all prism surfaces. We work in a reduced Landau-de Gennes framework, and the Dirichlet…

Soft Condensed Matter · Physics 2023-10-26 Yucen Han , Baoming Shi , Lei Zhang , Apala Majumdar

We devise a dimensional regularization scheme for quantum field theories with Fermi surface to study scaling behaviour of non-Fermi liquid states in a controlled approximation. Starting from a Fermi surface in two space dimensions, the…

Strongly Correlated Electrons · Physics 2013-12-12 Denis Dalidovich , Sung-Sik Lee

Going beyond the linearized study has been a longstanding problem in the theory of Landau damping. In this paper we establish exponential Landau damping in analytic regularity. The damping phenomenon is reinterpreted in terms of transfer of…

Analysis of PDEs · Mathematics 2012-02-22 Clément Mouhot , Cédric Villani

Non-Fermi liquids arise when strong interactions destroy stable fermionic quasiparticles. The simplest models featuring this phenomenon involve a Fermi surface coupled to fluctuating gapless bosonic order parameter fields, broadly referred…

Strongly Correlated Electrons · Physics 2024-07-09 Zhengyan Darius Shi

We apply the diagram-technique formalism beyond the Hartree-Fock approximation to a two-dimensional nearly ideal electron gas in a weak perpendicular magnetic field. The case of an almost completely filled upper Landau level (filling factor…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Alexei Kolesnikov

We summarise some recent results on solution landscapes for two-dimensional (2D) problems in the Landau--de Gennes theory for nematic liquid crystals. We study energy-minimizing and non energy-minimizing solutions of the Euler--Lagrange…

Soft Condensed Matter · Physics 2021-08-02 Yucen Han , Apala Majumdar

We discuss a dynamical theory for nematic liquid crystals describing the stage of evolution in which the hydrodynamic fluid motion has already equilibrated and the subsequent evolution proceeds via diffusive motion of the orientational…

Mathematical Physics · Physics 2014-03-04 Ibrahim Fatkullin , Valeriy Slastikov

Quantum magneto-oscillations provide a powerfull tool for quantifying Fermi-liquid parameters of metals. In particular, the quasiparticle effective mass and spin susceptibility are extracted from the experiment using the Lifshitz-Kosevich…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 G. W. Martin , D. L. Maslov , M. Yu. Reizer

Significant effort has been devoted to the study of "non-Fermi liquid" (NFL) metals: gapless conducting systems that lack a quasiparticle description. One class of NFL metals involves a finite density of fermions interacting with soft order…

Strongly Correlated Electrons · Physics 2019-09-04 Jeremias Aguilera Damia , Shamit Kachru , Srinivas Raghu , Gonzalo Torroba
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