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Mesoscopic fluctuations of the local density of states encode multifractal correlations in disorderedelectron systems. We study fluctuations of the local density of states in a superconducting state of weakly disordered films. We perform…

Disordered Systems and Neural Networks · Physics 2021-11-05 M. Stosiek , F. Evers , I. S. Burmistrov

Ground and excited states of a confined negative Hydrogen ion has been pursued under Kohn-Sham density functional approach by invoking a physically motivated work-function-based exchange potential. The exchange-only results are of near…

Atomic Physics · Physics 2022-05-23 Sangita Majumdar , Neetik Mukherjee , Amlan K. Roy

We explore the role of electron correlation in quasi one dimensional quantum wires as the range of the interaction potential is changed and their thickness is varied by performing exact quantum Monte Carlo simulations at various electronic…

Strongly Correlated Electrons · Physics 2009-11-13 L. Shulenburger , M. Casula , G. Senatore , R. M. Martin

We study effects of electron correlation on the transport through a small interacting system connected to reservoirs using an effective Hamiltonian which describes the free quasi-particles of a Fermi liquid. The effective Hamiltonian is…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Akira Oguri

We investigate the FIR-absorption of short period parallel quantum wires in a perpendicular quantizing magnetic field. The external time-dependent electric field is linearly polarized along the wire modulation. The mutual Coulomb…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Andrei Manolescu , Vidar Gudmundsson

We study a tight binding model including both on site disorder and coupling of the electrons to randomly oriented magnetic moments. The transport properties are calculated via the Kubo-Greenwood scheme, using the exact eigenstates of the…

Disordered Systems and Neural Networks · Physics 2009-11-11 Sanjeev Kumar , Pinaki Majumdar

We evaluate the localization length of the wave solution of a random potential characterized by an arbitrary autocorrelation function. We go beyond the Born approximation to evaluate the localization length using a non-linear approximation…

Disordered Systems and Neural Networks · Physics 2020-01-08 Hichem Eleuch , Michael Hilke

Delocalization problem for a two-dimensional non-interacting electron system is studied under a random magnetic field. With the presence of a random magnetic field, the Hall conductance carried by each eigenstate can become nonzero and…

Condensed Matter · Physics 2016-08-31 D. N. Sheng , Z. Y. Weng

In ultrathin wires positioned on high-k dielectric substrates or nearby metallic gates electrons can form strongly correlated one-dimensional fluids already at rather high electron densities. The density-density correlation function, charge…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. M. Fogler

We show that the perturbative expansion of the two-level correlation function, $R(\omega)$, in disordered conductors can be understood semiclassically in terms of self-intersecting particle trajectories. This requires the extension of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Robert A. Smith , Igor V. Lerner , Boris L. Altshuler

The local density of states (LDOS) in finite quantum wires is calculated as a function of discrete energies and position along the wire. By using a combination of numerical density matrix renormalization group (DMRG) calculations and…

Strongly Correlated Electrons · Physics 2009-11-13 Imke Schneider , Alexander Struck , Michael Bortz , Sebastian Eggert

Majorana bound states are expected to appear in one-dimensional semiconductor-superconductor hybrid systems, provided they are homogenous enough to host a global topological phase. In order to experimentally investigate the uniformity of…

Mesoscale and Nanoscale Physics · Physics 2024-06-11 Qingzhen Wang , Yining Zhang , Saurabh Karwal , Srijit Goswami

We introduce a new paradigm for finite and infinite strict-one-dimensional uniform electron gases. In this model, $n$ electrons are confined to a ring and interact via a bare Coulomb operator. In the high-density limit (small-$r_s$, where…

Strongly Correlated Electrons · Physics 2012-08-15 Pierre-François Loos , Peter M. W. Gill

We study a two-dimensional spinless particle in a disordered gaussian magnetic field with short time fluctuations, by means of the evolution equation for the density matrix $<x^{(1)} |\hat{\rho} (t)| x^{(2)}>$; in this description the two…

Statistical Mechanics · Physics 2009-10-31 V. G. Benza , B. Cardinetti

The one dimensional dimer model is investigated and the localization length calculated exactly. The presence of delocalized states at $E_c = \epsilon_{a,b}$ of two possible values of the chemical potential in case of…

Disordered Systems and Neural Networks · Physics 2009-09-29 T. Sedrakyan

The supersymmetry technique [A. V. Kolesnikov and K. B. Efetov, Phys. Rev. Lett. 83, 3689 (1999)] predicts a two-scale behavior of wavefunction decay in disordered wires in the crossover regime from preserved to broken time-reversal…

Disordered Systems and Neural Networks · Physics 2007-05-23 H. Schomerus , C. W. J. Beenakker

We derive a local approximation for the correlation energy in two-dimensional electronic systems. In the derivation we follow the scheme originally developed by Colle and Salvetti for three dimensions, and consider a Gaussian approximation…

Strongly Correlated Electrons · Physics 2008-11-21 S. Pittalis , E. Rasanen , M. Marques

We study level correlations of disordered systems with chiral unitary symmetry (AIII symmetry). We use a random matrix model with a finite correlation length to derive a supersymmetric nonlinear sigma model. The result is compared with…

Disordered Systems and Neural Networks · Physics 2007-05-23 Kazutaka Takahashi

We use linked cluster series expansion methods to estimate the values of various short distance correlation functions in $S=1/2$ Heisenberg antiferromagnets at T=0, for dimension $d=1,2,3$. The method incorporates the possibility of…

Strongly Correlated Electrons · Physics 2009-10-31 Zheng Weihong , J. Oitmaa

We study the conductance of disordered wires with unitary symmetry focusing on the case in which $m$ perfectly conducting channels are present due to the channel-number imbalance between two-propagating directions. Using the exact solution…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Yositake Takane