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Exact formulas for the optical conductivity and the Hall conductivity of the two dimensional Hubbard model are derived in terms of an effective theory description of the local moment fluctuation in the system. In this framework, the quantum…

Strongly Correlated Electrons · Physics 2026-02-23 Xinyue Liu , Tao Li

This review illustrates how Local Fermi Liquid (LFL) theories describe the strongly correlated and coherent low-energy dynamics of quantum dot devices. This approach consists in an effective elastic scattering theory, accounting exactly for…

Mesoscale and Nanoscale Physics · Physics 2020-09-01 Michele Filippone , Arthur Marguerite , Karyn Le Hur , Gwendal Fève , Christophe Mora

Suppression of electron current $ \Delta I$ through a 1D channel of length $L$ connecting two Fermi liquid reservoirs is studied taking into account the Umklapp electron-electron interaction induced by a periodic potential. This interaction…

Strongly Correlated Electrons · Physics 2009-10-30 Vadim Ponomarenko , Naoto Nagaosa

In a ballistic two-dimensional electron gas, the Landau damping does not lead to plasmon attenuation in a broad interval of wave vectors q << k_F. Similarly, it does not contribute to the optical conductivity \sigma (\omega, q) in a wide…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. G. Mishchenko , M. Yu. Reizer , L. I. Glazman

We study the conductivity of a 3D disordered metal close to the antiferromagnetic instability within the framework of the spin-fermion model using the diagrammatic technique. We calculate the interaction correction $\delta\sigma(\omega,T)$…

Strongly Correlated Electrons · Physics 2013-05-30 S. V. Syzranov , J. Schmalian

We consider a theoretical problem of electron-electron scattering time in a quasi-one-dimensional (Q1D) conductor in a magnetic field, perpendicular to its conducting axis. We show that inverse electron-electron scattering time becomes of…

Strongly Correlated Electrons · Physics 2015-11-11 Andrei G. Lebed

We demonstrate that nearly critical quantum magnetic fluctuations in strongly correlated electron systems can change the Fermi surface topology and also lead to spin charge separation (SCS) in two dimensions. To demonstrate these effects we…

Superconductivity · Physics 2012-07-23 Michael Holt , Jaan Oitmaa , Wei Chen , Oleg P. Sushkov

In a disordered mesoscopic system, the typical spacing between the peaks and the valleys of the conductance as a function of Fermi energy $E_F$ is called the conductance energy correlation range $E_c$. Under the ergodic hypothesis, the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Božidar Jovanović , Ziqiang Wang

We study the Fermi level structure of 2+1-dimensional strongly interacting electron systems in external magnetic field using the AdS/CFT correspondence. The gravity dual of a finite density fermion system is a Dirac field in the background…

High Energy Physics - Theory · Physics 2013-05-29 E. Gubankova , J. Brill , M. Cubrovic , K. Schalm , P. Schijven , J. Zaanen

We develop a microscopic theory of the electronic nematic phase proximate to an isotropic Fermi liquid in both two and three dimensions. Explicit expressions are obtained for the small amplitude collective excitations in the ordered state;…

Strongly Correlated Electrons · Physics 2009-11-07 Vadim Oganesyan , Steven Kivelson , Eduardo Fradkin

Two-dimensional electron systems offer an appealing platform to explore long-lived excitations arising due to collinear carrier scattering enabled by phase-space constraints at the Fermi surface. Recently it was found that these effects can…

Strongly Correlated Electrons · Physics 2024-09-27 Serhii Kryhin , Leonid Levitov

Stimulated by anomalous behaviors found in non-Kramers $f$-electron systems in an applied magnetic field, we study a two-channel Kondo lattice model by using a cluster extension of the dynamical mean-field theory combined with the…

Strongly Correlated Electrons · Physics 2020-10-21 Koji Inui , Yukitoshi Motome

At the nematic quantum critical point that exists in the $d_{x^2-y^2}$-wave superconducting dome of cuprates, the massless nodal fermions interact strongly with the quantum critical fluctuation of nematic order. We study this problem by…

Strongly Correlated Electrons · Physics 2016-07-14 Jing-Rong Wang , Guo-Zhu Liu , Chang-Jin Zhang

We study how well-known effects of the long-ranged Friedel oscillations are affected by strong electronic correlations. We first show that their range and amplitude are significantly suppressed in strongly renormalized Fermi liquids. We…

Strongly Correlated Electrons · Physics 2010-06-10 E. C. Andrade , E. Miranda , V. Dobrosavljevic

We investigate correlations within the unconventional Fermi-liquid (FL) regime of quantum-critical (QC) heavy-fermion superconductors (HFSs) by tracking the pressure dependence of three quantities: the temperature-independent, SF-driven…

Strongly Correlated Electrons · Physics 2026-05-20 M. ElMassalami , P. B. Castro , M. B. Silva Neto

We show that the topology of the Fermi sea of a two-dimensional electron gas (2DEG) is reflected in the ballistic Landauer transport along a long and narrow Josephson $\pi$-junction that proximitizes the 2DEG. The low-energy Andreev states…

Mesoscale and Nanoscale Physics · Physics 2023-03-03 Pok Man Tam , Charles L. Kane

We study dynamical scaling in the quantum-critical fan of the pseudogap-metal to Fermi-liquid transition of the two-dimensional Hubbard model. Using a four-patch dynamical cluster approximation with the numerical renormalization group as a…

Strongly Correlated Electrons · Physics 2026-05-15 Mathias Pelz , Gabriel Kotliar , Jan von Delft , Andreas Gleis

Orbital two-channel Kondo (2CK) effect is one of the crucial systems with non- Fermi liquid (NFL) behaviors. But the full three-regime transport evidence has never been observed in one sample. Here, all three-resistive regimes for the…

Strongly Correlated Electrons · Physics 2024-10-25 Chunhao Bao , Xiaolong Yin , Jifeng Shao , Longxiang Li , Zhiyue Li , Xiaoming Ma , Shu Guo , Tingyong Chen

Quantum phases characterized by surfaces of gapless excitations are known to violate the otherwise ubiquitous boundary law of entanglement entropy in the form of a multiplicative log correction: $S\sim L^{d-1} \log L$. Using variational…

Strongly Correlated Electrons · Physics 2016-09-07 Ryan V. Mishmash , Olexei I. Motrunich

We present the theory of an extremely correlated Fermi liquid (ECFL) with $U\to \infty$. This liquid has an underlying Fermi liquid (FL) Greens function that is further caparisoned. The theory leads to two parallel hierarchies of equations…

Strongly Correlated Electrons · Physics 2011-08-09 B. Sriram Shastry