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Transport measurements on the cuprates suggest the presence of a quantum critical point hiding underneath the superconducting dome near optimal hole doping. We provide numerical evidence in support of this scenario via a dynamical cluster…

Strongly Correlated Electrons · Physics 2015-05-19 D. Galanakis , E. Khatami , K. Mikelsons , A. Macridin , J. Moreno , D. A. Browne , M. Jarrell

At low temperatures, a system built from a small droplet of electrons and a larger, but still finite, droplet may display non-Fermi-liquid behavior. Stabilization of a multi-channel Kondo fixed point requires fine control of the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yuval Oreg , David Goldhaber-Gordon

Quantum magnetism describes the properties of many materials such as transition metal oxides and cuprate superconductors. One of its elementary processes is the propagation of spin excitations. Here we study the quantum dynamics of a…

We introduce a model for Ce$^{3+}$ impurities in cubic metals which exhibits competition between the Fermi-liquid fixed point of the single channel Kondo model and the non-Fermi-liquid fixed point of the two- and three-channel Kondo models.…

Condensed Matter · Physics 2009-10-22 Tae-Suk Kim , D. L. Cox

The two-channel Kondo impurity model realizes a local non-Fermi liquid state with finite residual entropy. The competition between the two channels drives the system to an impurity quantum critical point. We show that the…

Strongly Correlated Electrons · Physics 2017-10-16 Balázs Dóra , Miklós Antal Werner , Catalin Pascu Moca

Recent spectroscopic measurements in a number of strongly correlated metals that exhibit non-Fermi liquid like properties have observed evidence of anomalous frequency and momentum-dependent charge-density fluctuations. Specifically, in the…

Strongly Correlated Electrons · Physics 2023-03-31 Xuepeng Wang , Debanjan Chowdhury

We demonstrate that the problem of coupled two-level systems ("qubits") which are also subject to a generic (sub)Ohmic dissipative environment belongs to the same class of models as those describing (non)magnetic impurities embedded in…

Strongly Correlated Electrons · Physics 2009-11-10 D. V. Khveshchenko

Non-Fermi liquid physics is a ubiquitous feature in strongly correlated metals, manifesting itself in anomalous transport properties, such as a $T$-linear resistivity in experiments. However, its theoretical understanding in terms of…

Strongly Correlated Electrons · Physics 2021-07-23 George , Driskell , Samuel Lederer , Carsten Bauer , Simon Trebst , Eun-Ah Kim

The single impurity Kondo problem in the one-dimensional $\delta$-potential Fermi gas is exactly solved for two sets of special coupling constants via Bethe ansatz. It is found that ferromagnetic Kondo screening does occur in one case which…

Condensed Matter · Physics 2009-10-28 Yupeng Wang , Johannes Voit

The concept of quantum Fermi liquid for description of (quasi)-1D electronic systems is recovered. The model of (quasi)-1D quantum Fermi liquid is developed on the example of trans-polyacetylene and it is the generalization of well-known…

Strongly Correlated Electrons · Physics 2013-08-09 Alla Dovlatova , Dmitri Yerchuck , Felix Borovik

The multichannel Kondo model with SU(N) spin symmetry and SU(K) channel symmetry is considered. The impurity spin is chosen to transform as an antisymmetric representation of SU(N), corresponding to a fixed number of Abrikosov fermions…

Strongly Correlated Electrons · Physics 2009-10-30 Olivier Parcollet , Antoine Georges , Gabriel Kotliar , Anirvan Sengupta

Motivated by a recent experimental observation of a nodal liquid on both single crystals and thin films of Bi$_2$Sr$_2$CaCu$_2$O$_{8+\delta}$ by Chatterjee \emph{et al.} [Nature Physics \textbf{6}, 99 (2010)], we perform a field-theoretical…

Strongly Correlated Electrons · Physics 2015-06-15 Vanuildo S. de Carvalho , Hermann Freire

We study models of chiral interacting fermions by means of conformal and Bethe-Ansatz techniques, and determine their thermodynamic properties and asymptotic correlation functions. We identify a class of fixed points characterizing the…

Condensed Matter · Physics 2016-08-31 Natan Andrei , Michael R. Douglas , Andrés Jerez

We study a recently proposed quantum dimer model for the pseudogap metal state of the cuprates. The model contains bosonic dimers, representing a spin-singlet valence bond between a pair of electrons, and fermionic dimers, representing a…

Strongly Correlated Electrons · Physics 2016-09-09 Junhyun Lee , Subir Sachdev , Steven R. White

We study the counting statistics of charge transport in the Anderson impurity model (AIM) employing both Keldysh perturbation theory in a Fermi liquid picture and the Bethe ansatz. In the Fermi liquid approach, the object of our principal…

Mesoscale and Nanoscale Physics · Physics 2025-12-31 A. O. Gogolin , R. M. Konik , A. W. W. Ludwig , H. Saleur

With particular reference to the role of the renormalization group approach and Ward identities, we start by recalling some old features of the one-dimensional Luttinger liquid as the prototype of non-Fermi-liquid behavior. Its dimensional…

Strongly Correlated Electrons · Physics 2015-06-05 C. Di Castro , S. Caprara

We analyze quantum fluctuation effects at the onset of charge or spin density wave order with a $2k_F$ wave vector $\mathbf{Q}$ in two-dimensional metals -- for the special case where $\mathbf{Q}$ connects a pair of hot spots situated at…

Strongly Correlated Electrons · Physics 2024-02-08 Lukas Debbeler , Walter Metzner

We propose a phenomenological approach to quantum liquids of particles obeying generalized statistics of a fermionic type, in the spirit of the Landau Fermi liquid theory. The approach is developed for fractional exclusion statistics. We…

Condensed Matter · Physics 2009-10-31 Serguei B. Isakov

We show that the presence of Fermi or non-Fermi liquid behavior in the SU(N) x SU(M) Anderson impurity models may be read off the infrared threshold exponents governing the spinon and holon dynamics in a slave boson representation of these…

Strongly Correlated Electrons · Physics 2009-10-28 J. Kroha , P. Wölfle , T. A. Costi

The Kondo effect has been playing an important role in strongly correlated electon systems. The important point is that the magnetic impurity in metals is a typical example of the Fermi liquid. In the system the local spin is conserved in…

Strongly Correlated Electrons · Physics 2009-11-10 Hiroshi Kontani , Kosaku Yamada