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In this thesis we have used Quantum Monte Carlo techniques to study two systems that can be regarded as the archetype for neutral strongly interacting systems: 4He, and its fermionic counterpart 3He.More specifically, we have used the Path…

Statistical Mechanics · Physics 2013-01-14 Marco Nava

A detailed analysis is given of the T^2 term in the resistivity observed in electron-doped SrTiO3. Novel bandstructure data are presented, which provide values for the bare mass, density of states, and plasma frequency of the quasiparticles…

Strongly Correlated Electrons · Physics 2011-11-11 D. van der Marel , J. L. M. van Mechelen , I. I. Mazin

Novel controlled non-perturbative techniques are a must in the study of strongly correlated systems, especially near quantum criticality. One of these techniques, bosonization, has been extensively used to understand one-dimensional, as…

Strongly Correlated Electrons · Physics 2018-11-01 Daniel G. Barci , Eduardo Fradkin , Leonardo Ribeiro

I show that when non-linearities are taken into account the Landau theory of Fermi liquids predicts the existence of hyperbolic waves in fermionic systems. The zero sound is described by a infinite set of coupled non-linear partial…

Condensed Matter · Physics 2007-05-23 A. H. Castro Neto

We discuss how one-dimensional interacting fermion systems, which in the low energy approximation are described by Luttinger liquid theory, can be reformulated as systems of weakly interacting particles with fractional charge and…

Mesoscale and Nanoscale Physics · Physics 2017-04-26 Jon Magne Leinaas

In contrast to the well known Fermi liquid theory of three dimensions, interacting one-dimensional and quasi one-dimensional systems of fermions are described at low energy by an effective theory known as Luttinger liquid theory. This…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 Gregory A. Fiete

We calculate microscopically the properties of the dilute He-3 component in a He-3/--He-4 mixture. These depend on both, the dominant interaction between the impurity atom and the background, and the Fermi liquid contribution due to the…

Condensed Matter · Physics 2009-10-31 E. Krotscheck , J. Paaso , M. Saarela , K. Schoerkhuber , R. Zillich

We consider the non-analytic temperature dependences of the specific heat coefficient, C(T)/T, and spin susceptibility, \chi_{s} (T), of 2D interacting fermions beyond the weak-coupling limit. We demonstrate within the Luttinger-Ward…

Strongly Correlated Electrons · Physics 2009-11-11 Andrey V. Chubukov , Dmitrii L. Maslov , Suhas Gangadharaiah , Leonid I. Glazman

We study the spectrum of fermion states localized within the vortex core of a weak-coupling p-wave superfluid. The low energy spectrum consists of two anomalous branches that cross the Fermi level as functions of the impact parameter, and…

Superconductivity · Physics 2015-12-07 M. A. Silaev , E. V. Thuneberg , M. Fogelström

In this work we present the results of theoretical analysis of the de Haas-van Alphen oscillations in quasi-two-dimensional conductors. We have been studying the effect of the Fermi-liquid correlations of charge carriers on the above…

Materials Science · Physics 2008-10-28 Natalya A. Zimbovskaya

The standard theory of metals, Fermi liquid theory, hinges on the key assumption that although the electrons interact, the low-energy excitation spectrum stands in a one-to-one correspondence with that of a non-interacting system. In the…

Strongly Correlated Electrons · Physics 2015-05-13 Philip Phillips , Ting-Pong Choy , Robert G. Leigh

We construct a Galilean invariant low-energy effective field theory of boson-fermion mixtures and study bound fermion states on a vortex of boson superfluid. We derive a simple criterion to determine for which values of the fermion angular…

Other Condensed Matter · Physics 2009-07-09 Yusuke Nishida , Dam Thanh Son

We present the theory of thermoelectric transport in metals with long-lived quasiparticles, carefully addressing the interplay of electron-electron scattering as well as electron-impurity scattering, but neglecting electron-phonon…

Strongly Correlated Electrons · Physics 2018-06-27 Andrew Lucas , Sankar Das Sarma

Landau's phenomenological theory of Fermi liquids is a fundamental paradigm in many-body physics that has been remarkably successful in explaining the properties of a wide range of interacting fermion systems, such as liquid helium-3,…

Strongly Correlated Electrons · Physics 2015-08-12 Rex Lundgren , Joseph Maciejko

We use magnetic quantum oscillations in the underdoped high Tc superconductor YBa_2Cu_3O_(6+x) (x=0.56) measured over a broad range of temperatures 100 mK<T<18 K to extract the form of the distribution function describing the low-lying…

We present new trial wave-functions which include 3-body correlations into the backflow coordinates and a 4-body symmetric potential. We show that our wavefunctions lower the energy enough to stabilize the ground state energies of normal…

Strongly Correlated Electrons · Physics 2011-05-13 Markus Holzmann , Bernard Bernu , D. M. Ceperley

Here we analyze the divergences of the irreducible vertex function in dynamical mean field theory, which may indicate either a non-physical breakdown of the perturbation theory or a response to some physical phenomenon. To investigate this…

Strongly Correlated Electrons · Physics 2020-04-22 Corey Melnick , Gabriel Kotliar

Vibrating wires are common temperature probes in $^3$He experiments. By measuring mechanical resonance of a wire driven by AC current in magnetic field one can directly obtain temperature-dependent viscous damping. This is easy to do in a…

Other Condensed Matter · Physics 2023-03-03 V. V. Zavjalov

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

It is shown that the recently observed and unexplained behavior for the spin diffusion in 3He films can be understood in terms of the Fermi liquid theory, provided nonperturbative effects characteristic of the two dimensions are taken into…

Strongly Correlated Electrons · Physics 2024-08-14 Paulo F. Farinas