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We write down the basic equations of Fermi-liquid theory for mixtures of fermions and bosons, an example being 3He-4He mixtures at low temperatures. Basically the theory is identical to the one derived by Khalatnikov, but it is derived in a…

Other Condensed Matter · Physics 2011-07-08 E. V. Thuneberg , T. H. Virtanen

The high-momentum dynamic structure function of liquid 3He-4He mixtures has been studied introducing final state effects. Corrections to the impulse approximation have been included using a generalized Gersch-Rodriguez theory that properly…

Statistical Mechanics · Physics 2009-10-31 F. Mazzanti , A. Polls , J. Boronat

We show how Fermi liquid theory can be applied to ultra-cold Fermi gases, thereby expanding their "simulation" capabilities to a class of problems of interest to multiple physics sub-disciplines. We introduce procedures for measuring and…

Quantum Gases · Physics 2014-11-20 Chih-Chun Chien , K. Levin

Fermi liquid theory works very well in most normal metals, but is found violated in many strongly correlated electron systems, such as cuprate and heavy-fermion superconductors. A widely accepted criterion is that, the Fermi liquid theory…

Strongly Correlated Electrons · Physics 2018-11-08 Jing-Rong Wang , Guo-Zhu Liu , Chang-Jin Zhang

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

The Fermi liquid theory formulated by Landau is a basic paradigm of the behavior of an interacting many-body system. We present a new application of this theory to calculate "Landau force" on a macroscopic object. We show that immersing a…

Other Condensed Matter · Physics 2011-02-03 Timo H. Virtanen , Erkki Thuneberg

A Fermi Liquid theory is developed for the persistent current past a side coupled quantum dot yielding analytical predictions for the behavior of the first two harmonics of the persistent current as a function of applied magnetic flux. The…

Strongly Correlated Electrons · Physics 2007-05-23 Ian Affleck , Erik S. Sørensen

Liquid $^3\mathrm{He}$ is a Fermi liquid that undergoes a BCS-type phase transition to a spin-triplet superfluid, making it valuable for understanding interacting fermions. When the temperature approaches the transition temperature…

Superconductivity · Physics 2022-02-16 Wei-Ting Lin , J. A. Sauls

We construct a phenomenological superfluid Fermi liquid theory for a two-dimensional d-wave superconductor on a square lattice, and study the effect of quasiparticle interactions on the superfluid density. Using simple models for the…

Superconductivity · Physics 2009-11-07 Arun Paramekanti , Mohit Randeria

The behaviour of electrons in solids is remarkably well described by Landau's Fermi-liquid theory, which says that even though electrons in a metal interact they can still be treated as well-defined fermions, called ``quasiparticles''. At…

Superconductivity · Physics 2009-11-07 R. W. Hill , Cyril Proust , Louis Taillefer , P. Fournier , R. L. Greene

We show that a viscoelastic dispersion relation for shear waves in normal $^{3}$He at low temperatures follows directly from the Landau theory of normal Fermi liquids. This theoretical result is in accord with the experimental observations…

Soft Condensed Matter · Physics 2007-05-23 Isadore Rudnick , Joseph Rudnick

A final-state-effects formalism suitable to analyze the high-momentum response of Fermi liquids is presented and used to study the dynamic structure function of liquid $^3$He. The theory, developed as a natural extension of the…

Statistical Mechanics · Physics 2009-11-10 F. Mazzanti , A. Polls , J. Boronat , J. Casulleras

The leading corrections to Fermi liquid theory for non-equilibrium quasiparticle transport near a Cooper instability arise from the virtual emission and absorption of incipient Cooper pairs. We formulate the corrections to the…

Superconductivity · Physics 2021-10-28 Wei-Ting Lin , J. A. Sauls

We explore the structure of momentum distributions of Fermi liquids such as completely polarized 3He, unpolarized liquid 3He, and nuclear matter at nonzero temperatures. The study employs correlated density matrix theory and adapts the…

Strongly Correlated Electrons · Physics 2015-05-19 M. Serhan , M. L. Ristig

We describe an analytical theory investigating the regime of validity of the Fermi liquid theory in interacting, via the long-range Coulomb coupling, two-dimensional Fermi systems comparing it with with the corresponding 3D systems. We find…

Strongly Correlated Electrons · Physics 2021-12-13 Sankar Das Sarma , Yunxiang Liao

Correlated density matrix theory is generalized to investigate equilibrium properties of normal Fermi Liquids such as 3He and nuclear matter at nonzero temperatures. The results also generalize the Fermi-hypernetted-chain technique that is…

Strongly Correlated Electrons · Physics 2011-06-14 M. Serhan

Interacting fermion systems in one dimension, which in the low energy approximation are described by Luttinger liquid theory, can be reformulated as systems of weakly interacting particles with fractional exchange statistics. This is shown…

Strongly Correlated Electrons · Physics 2021-04-19 Jon Magne Leinaas

A lattice model of spinless interacting electrons is used to formulate the Landau theory of the Fermi liquid to electron glass quantum phase transition. We demonstrate that the presence of additional random site energies does not affect the…

Strongly Correlated Electrons · Physics 2009-11-07 Denis Dalidovich , V. Dobrosavljevic

A recent work [arXiv:2402.04639] considered the dynamical equations for ferromagnets using Onsager's irreversible thermodynamics with fundamental variables magnetization $\vec{M}$ and spin current $\vec{J}_{i}$. The resulting equations have…

Mesoscale and Nanoscale Physics · Physics 2024-10-01 Wayne M. Saslow , Chen Sun

Recent advances in single atom manipulation have made it possible to create "wires" in the form of atomic scale linear structures on a semiconductor surface. If such structures are to be used in future electronic devices, it will be…

Strongly Correlated Electrons · Physics 2007-05-23 L. K. Dash , A. J. Fisher
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