English
Related papers

Related papers: Fluctuation corrections to Lifshitz tails in disor…

200 papers

We review the density of states and related quantities of quasi one-dimensional disordered Peierls systems in which fluctuation effects of a backscattering potential play a crucial role. The low-energy behavior of non-interacting fermions…

Strongly Correlated Electrons · Physics 2017-09-27 Lorenz Bartosch

We study Lifshitz tails for random Schr\"odinger operators where the random potential is alloy type in the sense that the single site potentials are independent, identically distributed, but they may have various function forms. We suppose…

Mathematical Physics · Physics 2009-03-16 Frédéric Klopp , Shu Nakamura

We develop a field theory formalism for the disordered interacting electron liquid in the dynamical Keldysh formulation. This formalism is an alternative to the previously used replica technique. In addition it naturally allows for the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Alex Kamenev , Anton Andreev

A modification of the optimal fluctuation approach is applied to study the tails of the free energy distribution function P(F) for an elastic string in quenched disorder both in the regions of the universal behavior of P(F) and in the…

Disordered Systems and Neural Networks · Physics 2009-11-13 I. V. Kolokolov , S. E. Korshunov

The complete set of diagrams for conventional fluctuation corrections to the normal state of an ultraclean superconductor is derived using the functional-integral approach. The standard diagrams which characterize the fluctuation phase of a…

Superconductivity · Physics 2020-02-24 Rufus Boyack

We study the effect of superconducting fluctuations on the conductivity of metals at arbitrary temperatures $T$ and impurity scattering rates $\tau^{-1}$. Using the standard diagrammatic technique but in the Keldysh representation, we…

Superconductivity · Physics 2018-04-30 Nikolai A. Stepanov , Mikhail A. Skvortsov

Urbach tails in semiconductors are often associated to effects of compositional disorder. The Urbach tail observed in InGaN alloy quantum wells of solar cells and LEDs by biased photocurrent spectroscopy is shown to be characteristic of the…

In this paper we prove the existence of the high-energy tails for electron distribution function of the Boltzmann equation for semiconductors, in the stationary and homogeneous regime, in the analytic band approximation and scattering with…

Statistical Mechanics · Physics 2007-05-23 Orazio Muscato

Quantum oscillation phenomena, in conventional 2-dimensional electron systems and in the fractional quantum Hall effect, are usually treated in the Lifshitz-Kosevich formalism. This is justified in three dimensions by Luttinger's expansion,…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 S. Curnoe , P. C. E. Stamp

In this paper we consider the Interband Light Absorption Coefficient for various models. We show that at the lower and upper edges of the spectrum the Lifshitz tails behaviour of the density of states implies similar behaviour for the ILAC…

Mathematical Physics · Physics 2009-04-01 W. Kirsch , M. Krishna

By numerical exact diagonalization techniques, we obtain the quantum phase diagram of the lattice fractional quantum Hall (FQH) systems in the presence of quenched disorder. By implementing an array of local potential traps representing the…

Strongly Correlated Electrons · Physics 2012-05-16 Shuo Yang , Kai Sun , S. Das Sarma

We investigate the integrated density of states of the Schr\"odinger operator in the Euclidean plane with a perpendicular constant magnetic field and a random potential. For a Poisson random potential with a non-negative algebraically…

Condensed Matter · Physics 2015-06-25 Kurt Broderix , Dirk Hundertmark , Werner Kirsch , Hajo Leschke

The nature of the interplay between fluctuations and quenched random disorder is a long-standing open problem, particularly in systems with a continuous order parameter. This lack of a full theoretical treatment has been underscored by…

Strongly Correlated Electrons · Physics 2024-01-22 Matthew C. O'Brien , Eduardo Fradkin

The problem of pseudo-gap formation in an electronic system, induced by the fluctuations of the order parameter is revisited. We make the observation that a large class of current theories are theoretically equivalent to averaging the Free…

Strongly Correlated Electrons · Physics 2009-11-07 A. Posazhennikova , P. Coleman

We investigate Lifshits-tail behaviour of the integrated density of states for a wide class of Schr\"odinger operators with positive random potentials. The setting includes alloy-type and Poissonian random potentials. The considered…

Mathematical Physics · Physics 2007-05-23 Werner Kirsch , Simone Warzel

In this paper we address Lifshitz transition induced by applied external magnetic field in a case of iron-based superconductors, in which a difference between the Fermi level and the edges of the bands is relatively small. We introduce and…

Superconductivity · Physics 2017-02-13 Andrzej Ptok , Konrad J. Kapcia , Agnieszka Cichy , Andrzej M. Oleś , Przemysław Piekarz

We show that at the level of BCS mean-field theory, the superconducting $T_c$ is always increased in the presence of disorder, regardless of order parameter symmetry, disorder strength, and spatial dimension. This result reflects the…

Superconductivity · Physics 2018-11-21 John F. Dodaro , Steven A. Kivelson

We analyse the behavior of the density of states in a singlet s-wave superconductor with weak magnetic impurities in the clean limit. By using the method of optimal fluctuation and treating the order parameter self-consistently we show that…

Superconductivity · Physics 2009-11-07 A. V. Shytov , I. Vekhter , I. A. Gruzberg , A. V. Balatsky

Many analyses based on the time-dependent Ginzburg--Landau model are not consistent with statistical mechanics, because thermal fluctuations are not taken correctly into account. We use the fluctuation-dissipation theorem in order to…

Statistical Mechanics · Physics 2007-06-13 Jorge Berger

We study a quasi-2D classical Landau-Ginzburg-Wilson effective field theory in the presence of quenched disorder in which incommensurate charge-density wave and superconducting orders are intertwined. The disorder precludes long-range…

Superconductivity · Physics 2015-11-11 Laimei Nie , Lauren E. Hayward Sierens , Roger G. Melko , Subir Sachdev , Steven A. Kivelson