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Within a Lagrangian formalism we derive the time-dependent Gutzwiller approximation for general multi-band Hubbard models. Our approach explicitly incorporates the coupling between time-dependent variational parameters and a time-dependent…

Strongly Correlated Electrons · Physics 2015-06-15 J. Bünemann , M. Capone , J. Lorenzana , G. Seibold

The theoretical model of the short-range interacting Luttinger liquid predicts a power-law scaling of the density of states and the momentum distribution function around the Fermi surface, which can be readily tested through tunneling…

Strongly Correlated Electrons · Physics 2020-06-01 DinhDuy Vu , Anibal Iucci , Sankar Das Sarma

This paper is concerned with the weak-moment magnetism in heavy-fermion materials and its relation to the non-Fermi liquid physics observed near the transition to the Fermi liquid. We explore the hypothesis that the primary fluctuations…

Strongly Correlated Electrons · Physics 2007-05-23 T. Senthil , Matthias Vojta , Subir Sachdev

We study a lattice model for Marginal Fermi liquid behavior, involving a gas of electrons coupled to a dense lattice of three-body bound-states. The bound-states change the phase space for electron-electron scattering and induce a marginal…

Strongly Correlated Electrons · Physics 2009-10-31 A. F. Ho , P. Coleman

Starting from a microscopic t-J like model and a SU(2) spin-charge separation ansatz, a relativistic continuum gauge lagrangian is obtained in the vicinity of a nodal point of the Fermi surface. The excitations in the pseudogap phase are…

Strongly Correlated Electrons · Physics 2008-11-26 Nick E. Mavromatos , Sarben Sarkar

The critical behavior of one-dimensional interacting Fermi systems is expected to display universality features, called Luttinger liquid behavior. Critical exponents and certain thermodynamic quantities are expected to be related among each…

Mathematical Physics · Physics 2015-06-15 Giuseppe Benfatto , Pierluigi Falco , Vieri Mastropietro

The imaginary part of the exchange-correlation kernel in the longitudinal current-current response function of a quasi-onedimensional Fermi liquid is evaluated by an approximate decoupling in the equation of motion for the current density,…

Strongly Correlated Electrons · Physics 2009-11-07 F. Capurro , M. Polini , M. P. Tosi

We propose a new low-energy theory for itinerant fermions near a ferromagnetic quantum critical point. We show that the full low-energy model includes, in addition to conventional interaction via spin fluctuations, another type of…

Strongly Correlated Electrons · Physics 2015-05-14 Andrey V. Chubukov , Dmitrii L. Maslov

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

Determining the (bare) electron mass $m_0$ in crystals is often hindered by many-body effects since Fermi-liquid physics renormalises the band mass, making the observed effective mass $m^*$ depend on density. Here, we use a one-dimensional…

Mesoscale and Nanoscale Physics · Physics 2023-03-16 P. M. T. Vianez , Y. Jin , W. K. Tan , Q. Liu , J. P. Griffiths , I. Farrer , D. A. Ritchie , O. Tsyplyatyev , C. J. B. Ford

We present a class of one-dimensional generic spinless fermion lattice Hamiltonians that express quasi-Fermi liquid physics, manifesting both Luttinger and Fermi liquid features due to solely irrelevant interactions. Using infinite matrix…

Strongly Correlated Electrons · Physics 2025-10-28 Joshua D. Baktay , Adrian E. Feiguin , Julian Rincon

We study a system of crossed spin-gapped and gapless Luttinger liquids. We establish the existence of a stable non-Fermi liquid state with a finite-temperature,long-wavelength, isotropic electric conductivity that diverges as a power law in…

Strongly Correlated Electrons · Physics 2009-10-31 Ranjan Mukhopadhyay , C. L. Kane , T. C. Lubensky

The Luttinger's theorem has long been taken as the key feature of Landau's Fermi liquid, which signals the presence of quasiparticles. Here, by the unbiased Monte Carlo method, violation of Luttinger's theorem is clearly revealed in the…

Strongly Correlated Electrons · Physics 2022-11-23 Wei-Wei Yang , Qiao-Ni Chen , Hong-Gang Luo , Yin Zhong

We propose a new non-Fermi liquid ground state in one dimension that is not of the Luttinger type. It is the ground state of fermions interacting via a long range repulsive interaction in real space of the form $ V(x) = e^2/|x| $. We…

Mesoscale and Nanoscale Physics · Physics 2009-09-29 Girish S. Setlur , HRI

The boundary conformal field theory approach to quantum impurity problems is used to study the Fermi edge singularity, occuring in the X-ray adsorption probablility. The deep-hole creation operator, in the effective low-energy theory,…

Condensed Matter · Physics 2009-10-22 Ian Affleck , Andreas W. W. Ludwig

We investigate the quasiparticle dynamics in the two-orbital Hubbard model on the square lattice at quarter filling by means of the cellular dynamical mean field theory. We show that the Fermi-liquid state is stabilized up to the large…

Strongly Correlated Electrons · Physics 2015-05-13 Tomoko Kita , Takuma Ohashi , Sei-ichiro Suga

We study a controlled large-$N$ theory of electrons coupled to dynamical two-level systems (TLSs) via spatially-random interactions. Such a physical situation arises when electrons scatter off low-energy excitations in a metallic glass,…

Strongly Correlated Electrons · Physics 2024-06-11 Noga Bashan , Evyatar Tulipman , Jörg Schmalian , Erez Berg

We study in this paper the general properties of a many body system of fermions in arbitrary dimensions assuming that the {\em momentum} of individual fermions are good quantum numbers of the system. We call these systems $k$-Fermi liquids.…

Strongly Correlated Electrons · Physics 2020-01-20 Tai-Kai Ng

The Fermi sign structure plays a crucial role for a Landau's Fermi liquid. In this work, we identify the exact sign structure for the bipartite Hubbard model at an arbitrary strength of the on-site Coulomb repulsion $U$. This general sign…

Strongly Correlated Electrons · Physics 2014-10-17 Long Zhang , Zheng-Yu Weng

We propose in this paper an effective low-energy theory for interacting fermion systems which supports exclusion statistics. The theory can be viewed as an extension of Landau Fermi liquid theory where besides quasi-particle energy…

Strongly Correlated Electrons · Physics 2016-10-28 Tai-Kai Ng