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The incompressible flow around a circular cylinder, positioned at the center of an unconfined planar counterflow, is studied by means of numerical solutions of the conservation equations and linear stability analysis. The flow is completely…

We have studied the transmission of transverse oscillations through a thin Fermi liquid film, using Landau's Fermi liquid theory. Fermi liquid theory describes the dynamics of interacting, degenerate fermion systems, for example…

Other Condensed Matter · Physics 2016-11-09 J. A. Kuorelahti , J. A. Tuorila , E. V. Thuneberg

Forward and backscattering play an exceptional role in the physics of two-dimensional interacting fermions. In a Fermi liquid, both give rise to a non-analytic $\omega^2 \log(\omega)$ form of the fermionic scattering rate at second order in…

Strongly Correlated Electrons · Physics 2021-07-07 Dimitri Pimenov , Alex Kamenev , Andrey V. Chubukov

We investigate the $2k_F$ density-wave instability of non-Fermi liquid states by combining exact diagonalization with renormalization group analysis. At the half-filled zeroth Landau level, we study the fate of the composite Fermi liquid in…

Strongly Correlated Electrons · Physics 2020-09-23 Shao-Kai Jian , Zheng Zhu

We consider the low-energy region of an array of Luttinger liquids coupled by a weak interchain hopping. The leading logarithmic divergences can be re-summed to all orders within a self-consistent perturbative expansion in the hopping, in…

Strongly Correlated Electrons · Physics 2009-10-31 Enrico Arrigoni

We present a superfluid theory of a polarized dipolar Fermi gas. For two dipolar molecules each of which consists of two atoms with positive charge and negative charge, we derive an effective dipole-dipole pairing interaction. Using this…

Quantum Gases · Physics 2013-07-09 Yuki Endo , Daisuke Inotani , Yoji Ohashi

The problem of front propagation in flowing media is addressed for laminar velocity fields in two dimensions. Three representative cases are discussed: stationary cellular flow, stationary shear flow, and percolating flow. Production terms…

Chaotic Dynamics · Physics 2009-10-31 M. Abel , A. Celani , D. Vergni , A. Vulpiani

We present a microscopic Fermi-liquid view on the low-energy transport through an Anderson impurity with $N$ discrete levels, at arbitrary electron filling $N_d$. It is applied to nonequilibrium current fluctuations, for which the…

Mesoscale and Nanoscale Physics · Physics 2020-11-18 Yoshimichi Teratani , Rui Sakano , Akira Oguri

We propose a model for addressing the superfluidity of two different Fermi species confined in a bilayer geometry of square optical lattices. The fermions are assumed to be molecules with interlayer s-wave interactions, whose dipole moments…

Quantum Gases · Physics 2016-12-07 A. Camacho-Guardian , R. Paredes

While classical or quantum interacting liquids become turbulent under sufficiently strong driving, it is not obvious what flow pattern an ideal quantum gas develops under similar conditions. Unlike classical noninteracting particles which…

Quantum Gases · Physics 2013-10-14 Marco Beria , Yasir Iqbal , Massimiliano Di Ventra , Markus Müller

We investigate the shallow flow of viscous fluid into and out of a channel whose gap width increases as a power-law ($x^n$), where $x$ is the downstream axis. The fluid flows slowly, while injected at a rate in the form of $t^\alpha$, where…

Fluid Dynamics · Physics 2023-12-13 M-S. Liu , H. E. Huppert

Density-functional theory is utilized to investigate the zero-temperature transition from a Fermi liquid to an inhomogeneous stripe, or Wigner crystal phase, predicted to occur in a one-component, spin-polarized, two-dimensional dipolar…

Quantum Gases · Physics 2015-08-14 B. P. van Zyl , W. Kirkby , W. Ferguson

We use gauge-gravity duality to model the crossover from a conformal critical point to a confining Fermi liquid, driven by a change in fermion density. The short-distance conformal physics is represented by an anti-de Sitter geometry, which…

High Energy Physics - Theory · Physics 2011-09-22 Subir Sachdev

The divergences appearing in the 3+1 dimensional fermion-loop calculations are often regulated by smearing the vertices in a covariant manner. Performing a parallel light-front calculation, we corroborate the similarity between the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Bernard L. G. Bakker , Ho-Meoyng Choi , Chueng-Ryong Ji

We investigate the emergence of superfluid p=p_x+ip_y phases in an ultracold gas of dipolar Fermi molecules lying in two parallel square lattices in 2D. As shown by a two body study, dipole moments oriented in opposite directions in each…

Quantum Gases · Physics 2019-03-27 G. A. Dominguez-Castro , R. Paredes

We study the transport properties of a Luttinger liquid in the presence of several time-dependent weak point-like impurities. Our starting point is the bosonized form of the Luttinger liquid Hamiltonian with a potential introduced by the…

Strongly Correlated Electrons · Physics 2007-05-23 D. Makogon , V. Juricic , C. Morais Smith

Fermi liquid theory is used to generate the Ginzburg-Landau free energy functionals for unconventional superconductors belonging to various representations. The parameters defining the GL functional depend on Fermi surface anisotropy,…

Superconductivity · Physics 2024-06-11 J. A. Sauls

The inclination or $\lambda$-Lemma is a fundamental tool in finite dimensional hyperbolic dynamics. In contrast to finite dimension, we consider the forward semi-flow on the loop space of a closed Riemannian manifold $M$ provided by the…

Analysis of PDEs · Mathematics 2014-08-05 Joa Weber

We consider in this paper, a new a posteriori residual type error estimator of a conforming mixed finite element method for the coupling of fluid flow with porous media flow on isotropic meshes. Flows are governed by the Navier-Stokes and…

Numerical Analysis · Mathematics 2017-03-07 Koffi Wilfrid Houedanou , Jamal Adetola , Bernardin Ahounou

We study the dynamics of a heavy particle of mass $M$ moving in a one-dimensional repulsively interacting Fermi gas. The Fermi gas is described using the Luttinger model and bosonization. By transforming to a frame co-moving with the heavy…

Condensed Matter · Physics 2009-10-28 A. H. Castro Neto , Matthew P. A. Fisher