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Scaling of various local observables with a system size at Anderson transition criticality is characterized by a generalized multifractality. We study the generalized multifractality in the spin quantum Hall symmetry class (class C) in the…

Mesoscale and Nanoscale Physics · Physics 2022-10-12 S. S. Babkin , I. S. Burmistrov

Mesoscopic fluctuations and correlations of the local density of states are studied near metal-insulator transitions in disordered interacting electronic systems. We show that the multifractal behavior of the local density of states…

Mesoscale and Nanoscale Physics · Physics 2015-07-30 I. S. Burmistrov , I. V. Gornyi , A. D. Mirlin

We explore mesoscopic fluctuations and correlations of the local density of states (LDOS) near localization transition in a disordered interacting electronic system. It is shown that the LDOS multifractality survives in the presence of…

Mesoscale and Nanoscale Physics · Physics 2013-08-06 I. S. Burmistrov , I. V. Gornyi , A. D. Mirlin

Generalized multifractality characterizes system size dependence of pure scaling local observables at Anderson transitions in all ten symmetry classes of disordered systems. Recently, the concept of generalized multifractality has been…

Mesoscale and Nanoscale Physics · Physics 2023-12-08 S. S. Babkin , I. S. Burmistrov

The paper is devoted to the magnetic properties of isolated mesoscopic grains. We demonstrate that under very general conditions the electron - electron interactions in such grains can be taken into account by a simple interaction…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 I. L. Kurland , I. L. Aleiner , B. L. Altshuler

We compute, at two-loop order, one-particle-irreducible Green functions and effective action in noncommutative $\lambda[\Phi^3]_\star$-theory for both planar (g=0, h=3) and nonplanar (g=1, h=1) contributions. We adopt worldline formulation…

High Energy Physics - Theory · Physics 2010-04-05 Y. Kiem , S. -S. Kim , S. -J. Rey , H. -T. Sato

We present a non-perturbative approach to the problem of quasiparticles coupled to spin-fluctuations. If the fully dressed spin-fluctuation propagator is used in the Feynman graph expansion of the single-particle Green's function, the…

Strongly Correlated Electrons · Physics 2017-02-08 P. Monthoux

A modified version of the spinless Anderson model is studied by means of the continuous-time quantum Monte Carlo method. This study is motivated by the peculiar heavy-fermion behavior observed in certain Samarium compounds, which is…

Strongly Correlated Electrons · Physics 2015-10-28 Annamaria Kiss , Yoshio Kuramoto , Junya Otsuki

We explore the two-loop renormalization of the specific heat for an interacting disordered electron system in the case of broken time reversal symmetry. Within the nonlinear sigma model approach we derive the two-loop result for the…

Mesoscale and Nanoscale Physics · Physics 2015-12-08 I. S. Burmistrov

We have developed a self-consistent conserving pseudo particle approximation for the Anderson impurity model with finite Coulomb interaction, derivable from a Luttinger Ward functional. It contains an infinite series of skeleton diagrams…

Strongly Correlated Electrons · Physics 2020-04-20 K. Haule , S. Kirchner , J. Kroha , P. Wölfle

We study the Kondo effect of a quantum dot placed in a complex mesoscopic structure. Assuming that electronic interactions are taking place solely on the dot, and focusing on the infinite Hubbard interaction limit, we use a decoupling…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 O. Entin-Wohlman , A. Aharony , Y. Meir

We develop a new semiclassical approach, which starts with the density matrix given by the Euclidean time path integral with fixed coinciding endpoints, and proceed by identifying classical (minimal Euclidean action) path, to be referred to…

High Energy Physics - Theory · Physics 2016-06-01 M. A. Escobar-Ruiz , E. Shuryak , A. V. Turbiner

Coulomb screening, together with degeneracy, is characteristic of the metallic electron gas. While there is little trace of its effects in transport and noise in the bulk, at mesoscopic scales the electronic fluctuations start to show…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Frederick Green , Mukunda P Das

We show how a fine, multiple-peak structure can arise in the off-resonance, zero-bias conductance of Coulomb blockade systems. In order to understand how this effect comes about one must abandon the orthodox, mean-field understanding of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 J. J. Palacios , Lerwen Liu , D. Yoshioka

We study fluctuations of conductance of two connected in series dots in the Coulomb blockade regime. The pattern of the fluctuations turns out to be extremely sensitive to a magnetic field. These conductance fluctuations also provide…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. Kaminski , L. I. Glazman

We study numerically the dynamical system of a two-electron atom with the Darwin interaction as a model to investigate scale-dependent effects of the relativistic action-at-a-distance electrodynamics. This dynamical system consists of a…

Chaotic Dynamics · Physics 2007-05-23 Jayme De Luca

We develop a classification of composite operators without gradients at Anderson-transition critical points in disordered systems. These operators represent correlation functions of the local density of states (or of wave-function…

Disordered Systems and Neural Networks · Physics 2013-09-26 I. A. Gruzberg , A. D. Mirlin , M. R. Zirnbauer

In three-dimensional case, we consider two classical operators: Schrodinger operator and an operator in the divergence form. For slowly-decaying oscillating potentials, we establish spatial asymptotics of the Green's function. The main term…

Analysis of PDEs · Mathematics 2018-12-20 Sergey A. Denisov

An approach to experimentally exploring electronic correlation functions in mesoscopic regimes is proposed. The idea is to monitor the mesoscopic fluctuations of a tunneling current flowing between the two layers of a semiconductor…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Julia S. Meyer , Alexander Altland , Martin Janssen

We present a unified framework for studying Coulomb interactions in arbitrary environments using macroscopic quantum electrodynamics on the basis of the electromagnetic Green's function. Our theory can be used to derive the Coulomb…

Quantum Physics · Physics 2020-09-03 Pablo Barcellona , Robert Bennett , Stefan Yoshi Buhmann
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