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We investigate numerically the statistical properties of spectra of two-dimensional disordered systems by using the exact diagonalization and decimation method applied to the Anderson model. Statistics of spacings calculated for system…

Condensed Matter · Physics 2009-10-28 I. Kh. Zharekeshev , M. Batsch , B. Kramer

We consider the two-level correlation function in two-dimensional disordered systems. In the non-ergodic diffusive regime, at energy $\epsilon>E_{c}$ ($E_{c}$ is the Thouless energy), it is shown to be completely determined by the weak…

Condensed Matter · Physics 2016-08-31 Vladimir E. Kravtsov , Igor V. Lerner

Twin boundaries are generic crystalline defects in noncentrosymmetric crystal structures. We study theoretically twin boundaries in time-reversal symmetric noncentrosymmetric superconductors that admit parity-mixed Cooper pairing. Twin…

Superconductivity · Physics 2013-06-25 Emiko Arahata , Titus Neupert , Manfred Sigrist

In this work - the second of a pair of articles - we consider transport through spatially symmetric quantum dots with leads whose widths or positions do not obey the spatial symmetry. We use the semiclassical theory of transport to find the…

Mesoscale and Nanoscale Physics · Physics 2009-11-26 Robert S. Whitney , Henning Schomerus , Marten Kopp

A one-parameter random matrix model is proposed for describing the statistics of the local amplitudes and phases of electron eigenfunctions in a mesoscopic quantum dot in an arbitrary magnetic field. Comparison of the statistics obtained…

Condensed Matter · Physics 2009-10-28 E. Kanzieper , V. Freilikher

We describe the effects of phase coherence on transport and thermodynamic properties of a disordered conducting network. In analogy with weak-localization correction, we calculate the phase coherence contribution to the magnetic response of…

Mesoscale and Nanoscale Physics · Physics 2017-02-08 Michael Pascaud , Gilles Montambaux

We present an exact solution of a supersymmetric nonlinear sigma model describing the crossover between a quantum dot and a disordered quantum wire with unitary symmetry. The system is coupled ideally to two electron reservoirs via…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. M. S. Macedo

The Anderson transitions in a random magnetic field in three dimensions are investigated numerically. The critical behavior near the transition point is analyzed in detail by means of the transfer matrix method with high accuracy for…

Disordered Systems and Neural Networks · Physics 2017-09-27 T. Kawarabayashi , B. Kramer , T. Ohtsuki

We show that a one dimensional disordered conductor with correlated disorder has an extended state and a Landauer resistance that is non-zero in the limit of infinite system size in contrast to the predictions of the scaling theory of…

Mesoscale and Nanoscale Physics · Physics 2021-04-28 Onuttom Narayan , Harsh Mathur , Richard Montgomery

We observe a crossover from strong to weak chaos in the spatiotemporal evolution of multiple site excitations within disordered chains with cubic nonlinearity. Recent studies have shown that Anderson localization is destroyed, and the wave…

Chaotic Dynamics · Physics 2010-10-06 T. V. Laptyeva , J. D. Bodyfelt , D. O. Krimer , Ch. Skokos , S. Flach

We study the spin-fluctuation-mediated superconducting pairing gap in a weak-coupling approach to the Hubbard model for a two dimensional square lattice in the paramagnetic state. Performing a comprehensive theoretical study of the phase…

Superconductivity · Physics 2015-09-10 A. T. Romer , A. Kreisel , I. Eremin , M. A. Malakhov , T. A. Maier , P. J. Hirschfeld , B. M. Andersen

Magneto-conductance in thin wires often exhibits complicated patterns due to the quantum interference of conduction electrons. These patterns reflect microscopic structures in the wires, such as defects or potential distributions. In this…

Materials Science · Physics 2024-12-10 Yuta Hirasaki , Koji Inui , Eiji Saitoh

The interplay of disorder and spin-fluctuation effects in a disordered antiferromagnet is studied. In the weak-disorder regime (W \le U), while the energy gap decreases rapidly with disorder, the sublattice magnetization, including quantum…

Strongly Correlated Electrons · Physics 2009-10-31 Avinash Singh , Martin Ulmke , Dieter Vollhardt

The probability distribution of the proper delay times during scattering on a chaotic system is derived in the framework of the random matrix approach and the supersymmetry method. The result obtained is valid for an arbitrary number of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Hans-Juergen Sommers , Dmitry V. Savin , Valentin V. Sokolov

The magnetization process of the $S=3/2$ quantum spin chain with the $XXZ$ anisotropy and the single-ion anisotropy $D$ is investigated using the numerical diagonalization of finite-size clusters and the level spectroscopy analysis. We…

Strongly Correlated Electrons · Physics 2025-05-13 Tomohide Kawatsu , Haruto Suzuki , Masaru Hashimoto , Koki Doi , Tomoki Houda , Rito Furuchi , Hiroki Nakano , Kiyomi Okamoto , Tôru Sakai

We describe the weak localization correction to conductivity in ultra-thin graphene films, taking into account disorder scattering and the influence of trigonal warping of the Fermi surface. A possible manifestation of the chiral nature of…

Mesoscale and Nanoscale Physics · Physics 2009-03-12 K. Kechedzhi , E. McCann , Vladimir I. Fal'ko , H. Suzuura , T. Ando , B. L. Altshuler

We develop crossing symmetric dispersion relations for describing 2-2 scattering of identical external particles carrying spin. This enables us to import techniques from Geometric Function Theory and study two sided bounds on low energy…

High Energy Physics - Theory · Physics 2022-09-07 Subham Dutta Chowdhury , Kausik Ghosh , Parthiv Haldar , Prashanth Raman , Aninda Sinha

In this report, a unified description of the loss of saturation magnetization in the presence of a distribution of finite-size effects is provided for weakly disordered spin-1/2 ferromagnets. This description allows us to derive a unified…

Materials Science · Physics 2026-05-05 Sumanta Mukherjee

We consider the effect of a magnetic field $B$ on the transport of neutral composite particles, excitons, in weakly disordered 2D systems. In the case of classical transport, when the interference of different paths is neglected, the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. I. Arseev , A. B. Dzyubenko

We study quantum corrections to conductivity in a 2D system with a smooth random potential and strong spin-orbit splitting of the spectrum. We show that the interference correction is positive and down to the very low temperature can exceed…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Alexander P. Dmitriev , Igor V. Gornyi , Valentin Yu. Kachorovskii