scholarly journals Spin memory of the topological material under strong disorder

2020 ◽  
Vol 5 (1) ◽  
Author(s):  
Inna Korzhovska ◽  
Haiming Deng ◽  
Lukas Zhao ◽  
Yury Deshko ◽  
Zhiyi Chen ◽  
...  
Keyword(s):  
Strong Disorder

scholarly journals Supersymmetric Cluster Expansions and Applications to Random Schrödinger Operators

2021 ◽  
Vol 24 (1) ◽  
Author(s):  
Luca Fresta
Keyword(s):  
Density Of States ◽  
Local Density ◽  
Schrödinger Operators ◽  
Random Schrödinger Operators ◽  
Schrodinger Operators ◽  
Local Density Of States ◽  
Weak Disorder ◽  
Cluster Expansions ◽  
Strong Disorder ◽  
Lifshitz Tail

AbstractWe study discrete random Schrödinger operators via the supersymmetric formalism. We develop a cluster expansion that converges at both strong and weak disorder. We prove the exponential decay of the disorder-averaged Green’s function and the smoothness of the local density of states either at weak disorder and at energies in proximity of the unperturbed spectrum or at strong disorder and at any energy. As an application, we establish Lifshitz-tail-type estimates for the local density of states and thus localization at weak disorder.

scholarly journals Efficiently solving the dynamics of many-body localized systems at strong disorder

2019 ◽  
Vol 99 (24) ◽  
Author(s):  
Giuseppe De Tomasi ◽  
Frank Pollmann ◽  
Markus Heyl
Keyword(s):  
Many Body ◽  
Strong Disorder

scholarly journals COULOMB GAP IN THE QUANTUM HALL INSULATOR

2001 ◽  
Vol 15 (10n11) ◽  
pp. 1369-1372 ◽  
Author(s):  
MICHAEL BACKHAUS ◽  
BODO HUCKESTEIN
Keyword(s):  
Filling Factor ◽  
Particle Density ◽  
Quantum Hall ◽  
Correct Treatment ◽  
Coulomb Gap ◽  
Hartree Fock ◽  
Strong Disorder ◽  
Single Particle Density ◽  
Lowest Landau Level ◽  
Classical Point

We calculate numerically the spectrum of disordered electrons in the lowest Landau level at filling factor 1/5 using the self-consistent Hartree-Fock approximation for systems containing up to 400 flux quanta. Special attention is paid to the correct treatment of the q=0 component of the Coulomb interaction. For sufficiently strong disorder, the system is an insulator at this filling factor. We observe numerically a Coulomb gap in the single-particle density of states (DOS). The DOS agrees quantitatively with the predictions for classical point charges.

scholarly journals FRACTAL DIMENSION OF SPIN-GLASSES INTERFACES IN DIMENSION d = 2 AND d = 3 VIA STRONG DISORDER RENORMALIZATION AT ZERO TEMPERATURE

Fractals ◽  
2015 ◽  
Vol 23 (04) ◽  
pp. 1550042 ◽  
Author(s):  
CÉCILE MONTHUS
Keyword(s):  
Fractal Dimension ◽  
Boundary Conditions ◽  
Spin Glasses ◽  
Periodic Boundary ◽  
Domain Walls ◽  
Numerical Study ◽  
Periodic Boundary Conditions ◽  
Zero Temperature ◽  
Low Dimensions ◽  
Strong Disorder

For Gaussian Spin-Glasses in low dimensions, we introduce a simple Strong Disorder renormalization at zero temperature in order to construct ground states for Periodic and Anti-Periodic boundary conditions. The numerical study in dimensions [Formula: see text] (up to sizes [Formula: see text]) and [Formula: see text] (up to sizes [Formula: see text]) yields that Domain Walls are fractal of dimensions [Formula: see text] and [Formula: see text], respectively.

scholarly journals Tree Polymers in the Infinite Volume Limit at Critical Strong Disorder

2011 ◽  
Vol 48 (03) ◽  
pp. 885-891
Author(s):  
Torrey Johnson ◽  
Edward C. Waymire
Keyword(s):  
Asymptotic Variance ◽  
Standard Theory ◽  
Convergence In Probability ◽  
Infinite Volume ◽  
Weak Disorder ◽  
Branching Random Walks ◽  
Strong Disorder ◽  
Volume Limit ◽  
Specific Formula ◽  
Infinite Volume Limit

The almost-sure existence of a polymer probability in the infinite volume limit is readily obtained under general conditions of weak disorder from standard theory on multiplicative cascades or branching random walks. However, speculations in the case of strong disorder have been mixed. In this note existence of an infinite volume probability is established at critical strong disorder for which one has convergence in probability. Some calculations in support of a specific formula for the almost-sure asymptotic variance of the polymer path under strong disorder are also provided.

Anomalous Hall Effect of the Co Thin Film Deposited by High-Pressure Magnetron Sputtering

2015 ◽  
Vol 1120-1121 ◽  
pp. 424-428
Author(s):  
C.Y. Zou ◽  
Lai Sen Wang ◽  
Xiang Liu ◽  
Q.F. Zhang ◽  
Jun Bao Wang ◽  
...  
Keyword(s):  
Thin Film ◽  
High Pressure ◽  
Magnetron Sputtering ◽  
Hall Effect ◽  
Weak Localization ◽  
Anomalous Hall Effect ◽  
Scaling Relation ◽  
Strong Disorder ◽  
Region Temperature ◽  
Localization Region

In this paper, we studied the dependence of temperature and weak localization (WL) effect on the anomalous Hall effect (AHE) in strong disordered and poorly crystallized metal Co thin film deposited by high-pressure magnetron sputtering. The temperature coefficients of resistivity is positive at high temperatures and becomes negative at low temperatures, which is the typical characteristic of weak localization effect in dirty metal regime due to the strong disorder. The saturation anomalous Hall resistivity (ρAxy) have no scaling relation between ρxy and ρxx in weak localization region with temperature below 50 K. In metal region, temperature ranged from 50 K to 300 K, the relation between ρAxy and ρxxis ρAxy=A+bρ2xx, which indicates that the AHE in this Co thin film is scattering-independence at high temperature. The results also shows that the WL effect have a significant impact on the AHE of the Co thin film at low temperature.

Fast decay of eigenfunction correlators in long-range continuous random alloys

2019 ◽  
Vol 27 (1) ◽  
pp. 43-51
Author(s):  
Victor Chulaevsky
Keyword(s):  
Long Range ◽  
Exponential Decay ◽  
Interaction Potential ◽  
Dynamical Localization ◽  
Fast Decay ◽  
Euclidean Spaces ◽  
Strong Disorder ◽  
Low Energies ◽  
Media Interaction ◽  
Random Alloys

Abstract We study random Anderson Hamiltonians in Euclidean spaces with a long-range particle-media interaction potential {\mathfrak{u}(r)=r^{-A}} . Improving earlier results, for any {A>2d} , we establish spectral and strong dynamical localization with sub-exponential decay of eigenfunction correlators, both in the strong disorder regime and at low energies.

scholarly journals Directed polymers in a random environment: path localization and strong disorder

Bernoulli ◽  
2003 ◽  
Vol 9 (4) ◽  
pp. 705-723 ◽  
Author(s):  
Francis Comets ◽  
Tokuzo Shiga ◽  
Nobuo Yoshida
Keyword(s):  
Random Environment ◽  
Directed Polymers ◽  
Strong Disorder

Ac Response of Heterogeneous Materials: A Numerical Study

1996 ◽  
Vol 463 ◽  
Author(s):  
A. A. Rodriguez ◽  
J. Valbuena
Keyword(s):  
Distribution Function ◽  
Electrical Properties ◽  
Numerical Study ◽  
Experimental Measurements ◽  
Power Law Distribution ◽  
Scaling Properties ◽  
Strong Disorder ◽  
Hierarchical Lattices ◽  
Ac Response ◽  
Dc Electrical Properties

ABSTRACTThe ac and dc electrical properties of composite materials are studied using hierarchical lattices. First we show that the hierarchical model can correctly account for the main scaling properties of critical percolative structures. Then we study the effect of potential disorder by assuming that the microscopic conductances are distributed according to a power law distribution function. We find that in the limit of strong disorder, the predictions are in qualitative agreement with reported experimental measurements.

Sign in / Sign up

Export Citation Format

Share Document