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The optical conductivity of a metal near a quantum critical point (QCP) is expected to depend on frequency not only via the scattering time but also via the effective mass, which acquires a singular frequency dependence near a QCP. We check…

Strongly Correlated Electrons · Physics 2017-11-29 Andrey V. Chubukov , Dmitrii L. Maslov

We calculate the optical conductivity in a clean system of quasiparticles coupled to charge-ordering collective modes. The absorption induced by these modes may produce an anomalous frequency and temperature dependence of low-energy optical…

Strongly Correlated Electrons · Physics 2009-11-11 M. Grilli , S. Caprara , C. Di Castro , D. Suppa

We study the optical conductivity of a pristine two-dimensional electron system near an Ising-nematic quantum critical point. We discuss the relation between the frequency scaling of the conductivity and the shape of the Fermi surface,…

Strongly Correlated Electrons · Physics 2023-12-08 Songci Li , Prachi Sharma , Alex Levchenko , Dmitrii L. Maslov

We calculate the average conductivity sigma (omega) of interacting electrons in one dimension in the presence of a long-range random potential (forward scattering disorder). Taking the curvature of the energy dispersion into account, we…

Strongly Correlated Electrons · Physics 2009-10-31 Peter Kopietz , Guillermo E. Castilla

We calculate the optical conductivity, $\sigma(\omega)$, in the normal state fullerene superconductors by self-consistently including the impurity scatterings, the electron-phonon and electron-electron Coulomb interactions. The finite…

Strongly Correlated Electrons · Physics 2009-10-31 Jung-Woo Yoo , Han-Yong Choi

We develop a full microscopic theory for the optical conductivity, $\sigma(\omega)$, of a dirty current-carrying superconductor. Within the Keldysh sigma model formalism, we obtain the general analytical expression for $\sigma(\omega)$,…

Superconductivity · Physics 2025-12-09 Artem V. Polkin , Mikhail A. Skvortsov

We consider the conductivity $\sigma_{xx}$ of graphene with negligible intervalley scattering at half filling. We derive the effective field theory, which, for the case of a potential disorder, is a symplectic-class $\sigma$-model including…

Mesoscale and Nanoscale Physics · Physics 2007-06-18 P. M. Ostrovsky , I. V. Gornyi , A. D. Mirlin

We consider the optical conductivity of a clean two-dimensional metal near a quantum spin-density-wave transition. Critical magnetic fluctuations are known to destroy fermionic coherence at "hot spots" of the Fermi surface but coherent…

Strongly Correlated Electrons · Physics 2015-06-18 Andrey V. Chubukov , Dmitrii L. Maslov , Vladimir I. Yudson

The optical conductivity, $\sigma(\omega)$, of the two dimensional one-band Hubbard model is calculated at finite temperature using exact diagonalization techniques on finite clusters. The in-plane d.c. resistivity, $\rho_{ab}$, is also…

Condensed Matter · Physics 2009-10-22 Jose A. Riera , Elbio Dagotto

We discuss the optical conductivity of several non-interacting two-dimensional (2D) semiconducting systems focusing on gapped Dirac and Schr\"odinger fermions as well as on a system mixing these two types. Close to the band-gap, we can…

Mesoscale and Nanoscale Physics · Physics 2015-03-09 T. Stauber , D. Noriega-Pérez , J. Schliemann

The f-sum rule is introduced and its applications to electronic and vibrational modes are discussed. A related integral over the intra-band part of sigma(omega) which is also valid for correlated electrons, becomes just the kinetic energy…

Strongly Correlated Electrons · Physics 2007-05-23 D. van der Marel

The origin of the universal optical conductivity form sigma(omega) ~ (1-e^(omega/T))/omega established in numerical model studies of doped antiferromagnets and consistent with experiments on cuprates near optimal doping is discussed. It is…

Strongly Correlated Electrons · Physics 2009-10-31 Peter Prelovsek

A non-equilibrium theory of optical conductivity of dirty-limit superconductors and commensurate charge density wave is presented. We discuss the current response to different experimentally relevant light-field probe pulses and show that a…

Superconductivity · Physics 2017-08-08 Dante M. Kennes , Eli Y. Wilner , David R. Reichman , Andrew J. Millis

Thermodynamics and transport properties of a dissipative particle in a tight-binding model are studied through specific heat and optical conductivity. A weak coupling theory is constituted to study the crossover behavior between the…

Statistical Mechanics · Physics 2009-10-30 Takeo Kato , Masatoshi Imada

We analyze optical conductivity of a clean two-dimensional electron system in a Fermi liquid regime near a $T=0$ Ising-nematic quantum critical point (QCP), and extrapolate the results to a QCP. We employ direct perturbation theory up to…

Strongly Correlated Electrons · Physics 2024-03-28 Yasha Gindikin , Andrey V. Chubukov

In certain materials with strong electron correlations a quantum phase transition (QPT) at zero temperature can occur, in the proximity of which a quantum critical state of matter has been anticipated. This possibility has recently…

Strongly Correlated Electrons · Physics 2009-11-10 D. van der Marel , H. J. A. Molegraaf , J. Zaanen , Z. Nussinov , F. Carbone , A. Damascelli , H. Eisaki , M. Greven , P. H. Kes , M. Li

We present a theory of optical conductivity in systems with finite-momentum Cooper pairs. In contrast to the BCS pairing where AC conductivity is purely imaginary in the clean limit, there is nonzero AC absorption across the superconducting…

Superconductivity · Physics 2017-01-18 Zhehao Dai , Patrick A. Lee

We demonstrate that the optical conductivity of a Fermi liquid (FL) in the absence of umklapp scattering is dramatically affected by the topology of the Fermi surface (FS). Specifically, electron-electron (ee) scattering leads to rapid…

Strongly Correlated Electrons · Physics 2024-08-22 Yasha Gindikin , Songci Li , Alex Levchenko , Alex Kamenev , Andrey V. Chubukov , Dmitrii L. Maslov

In a clean quantum critical metal, and in the absence of umklapp, most d.c. conductivities are formally infinite due to momentum conservation. However, there is a particular combination of the charge and heat currents which has a finite,…

High Energy Physics - Theory · Physics 2015-10-28 Richard A. Davison , Blaise Goutéraux , Sean A. Hartnoll

We present an exact diagonalization study of the frequency and wave vector dependent conductivity $\sigma(q,\omega)$ in small clusters of $2D$ $t$$-$$J$ model. Unlike the related dynamical density correlation function, $\sigma(q=0,\omega)$…

Condensed Matter · Physics 2016-08-31 R. Eder , P. Wrobel , Y. Ohta
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