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It is demonstrated theoretically and experimentally that the low energy density of states $N(E)$ is described by a singular V-shape form $N(E)=N_0(H)+\alpha |E|+O(E^2)$ for all clean superconductors in a vortex state, irrespective of the…

Superconductivity · Physics 2009-11-11 N. Nakai , P. Miranovic , M. Ichioka , H. F. Hess , K. Uchiyama , H. Nishimori , S. Kaneko , N. Nishida , K. Machida

The profiles of local density of states (LDOS) around different vortex configurations in mesoscopic superconductors are studied taking account of the interference of quasiparticle waves experiencing Andreev reflection within the vortex…

Superconductivity · Physics 2015-05-13 A. S. Mel'nikov , D. A. Ryzhov , M. A. Silaev

A review of the present state of investigations of the pseudospin-electron model (PEM), which is used in the theory of strongly correlated electron systems, is given. The model is used to describe the systems with the locally anharmonic…

Strongly Correlated Electrons · Physics 2016-11-23 Ihor Stasyuk

Using the tools of random matrix theory we develop a statistical analysis of the transport properties of thermoelectric low-dimensional systems made of two electron reservoirs set at different temperatures and chemical potentials, and…

Mesoscale and Nanoscale Physics · Physics 2016-08-23 Adel Abbout , Henni Ouerdane , Christophe Goupil

Vortices in topological superconductors host Majorana zero modes (MZMs), which are proposed to be building blocks of fault-tolerant topological quantum computers. Recently, a new single-material platform for realizing MZM has been…

Starting from a random matrix model, we construct the low-energy effective field theory for the noninteracting gas of quasiparticles of a disordered superconductor in the mixed state. The theory is a nonlinear sigma model, with the order…

Superconductivity · Physics 2009-10-31 R. Bundschuh , C. Cassanello , D. Serban , M. R. Zirnbauer

Detailed tunneling spectroscopy of vortex core states can provide important insight to the momentum structure of the superconducting order parameter. We present a theoretical study of vortex bound states in iron-based superconductors by use…

Superconductivity · Physics 2016-06-06 B. Mencia Uranga , Maria N. Gastiasoro , Brian M. Andersen

In this paper, the sixth in series, we continue our analysis of the interplay between non-Fermi liquid and pairing in the effective low-energy model of fermions with singular dynamical interaction $V(\Omega_m) = {\bar…

Superconductivity · Physics 2021-11-03 Shang-Shun Zhang , Yi-Ming Wu , Artem Abanov , Andrey V. Chubukov

A general nonperturbative theory of the low-energy electron propagator is developed and used to calculate the single-particle density of states in a variety of systems. This method involves the decoupling of the electron-electron…

Strongly Correlated Electrons · Physics 2008-09-17 Kelly R. Patton

Electronic states within superconducting vortices hold crucial information about paring mechanisms and topology. While scanning tunneling microscopy/spectroscopy(STM/S) can image the vortices, it is difficult to isolate the intrinsic…

We study a model for the pinning of vortices in a two-dimensional, inhomogeneous, Type-II superconductor in its mixed state. The model is based on a Ginzburg-Landau (GL) free energy functional whose coefficients are determined by the…

Superconductivity · Physics 2009-11-13 Daniel Valdez-Balderas , David Stroud

We study the low-temperature low-frequency conductivity sigma of an interacting one dimensional electron system in the presence of a periodic potential. The conductivity is strongly influenced by conservation laws, which, we argue, need be…

Strongly Correlated Electrons · Physics 2009-10-31 A. Rosch , N. Andrei

An isolated single vortex is considered within the framework of the quasiclassical theory. The local density of states around a vortex is calculated in a clean type II superconductor with an anisotropy. The anisotropy of a superconducting…

Superconductivity · Physics 2009-10-30 N. Hayashi , M. Ichioka , K. Machida

It is widely accepted that topological superconductors can only have an effective interpretation in terms of curved geometry rather than gauge fields due to their charge neutrality. This approach is commonly employed in order to investigate…

Strongly Correlated Electrons · Physics 2020-06-24 Ashk Farjami , Matthew D. Horner , Chris N. Self , Zlatko Papić , Jiannis K. Pachos

Using the method of energy-level statistics, the localization properties of electrons moving in two dimensions in the presence of a perpendicular random magnetic field and additional random disorder potentials are investigated. For this…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 M. Batsch , L. Schweitzer , B. Kramer

We introduce a notion of local level spacings and study their statistics within a random-matrix-theory approach. In the limit of infinite-dimensional random matrices, we determine universal sequences of mean local spacings and of their…

Mathematical Physics · Physics 2024-05-31 Peng Tian , Roman Riser , Eugene Kanzieper

In order to clarify electronic states and energy dissipations due to a motion of a vortex core in pure FeSe, which is a candidate superconductor possessing a super-clean core, we measured the microwave surface impedance of pure FeSe single…

In superconductors with large values of the Ginzburg-Landau parameter, exposed to magnetic fields close to the upper critical field, the magnetic field is practically homogeneous across the sample and the density of supercurrents is…

Superconductivity · Physics 2009-11-07 I. L. Landau , H. R. Ott

An approximate equation for the effective conductivity sigma_eff of systems with a finite maximal scale of inhomogeneities is deduced. An exact solution of this equation is found and its physical meaning is discussed. A two-phase randomly…

Disordered Systems and Neural Networks · Physics 2007-05-23 S. A. Bulgadaev

Statistical level density $\rho(E,A)$ is derived for nucleonic system with a given energy $E$, particle number $A$ and other integrals of motion in the micro-macroscopic approximation beyond the standard saddle-point method of the Fermi gas…

Nuclear Theory · Physics 2022-03-08 A. G. Magner , A. I. Sanzhur , S. N. Fedotkin , A. I. Levon , S. Shlomo