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We show the appearance of multifractal wave functions on a one-dimensional quasiperiodic system that has a monofractal energy spectrum. Using the Mantica technique, we construct the model as an inverse problem from the energy spectrum of a…

统计力学 · 物理学 2015-05-20 Masayuki Tashima , Shuichi Tasaki

The boundary condition dependence of the critical behavior for the three dimensional Anderson transition is investigated. A strong dependence of the scaling function and the critical conductance distribution on the boundary conditions is…

无序系统与神经网络 · 物理学 2009-10-31 Keith Slevin , Tomi Ohtsuki , Tohru Kawarabayashi

For disordered elastic manifolds in the ground state (equilibrium) we obtain the critical exponents for the roughness and the correction-to-scaling up to 3-loop order, i.e. third order in $\epsilon=4-d$, where $d$ is the internal dimension…

无序系统与神经网络 · 物理学 2018-07-23 Christoph Husemann , Kay Joerg Wiese

Using the self-consistent Hartree-Fock approximation, we study the compressibility instability of the interacting electrons in bilayer graphene. The chemical potential and the compressibility of the electrons can be significantly altered by…

强关联电子 · 物理学 2011-01-11 Xin-Zhong Yan , C. S. Ting

We investigate the fidelity susceptibility, which quantifies the sensitivity of single-particle eigenstates to perturbations, in the three-dimensional Anderson model. As a function of disorder strength $W$, it exhibits two distinct peaks.…

无序系统与神经网络 · 物理学 2026-05-26 Piotr Tokarczyk , Lev Vidmar , Anatoli Polkovnikov , Patrycja Łydżba

We have used a field-penetration method to measure thermodynamic compressibility of a moderately interacting two-dimensional electron system ($r_{s}$ $\approx$ 0.5-3) in a three terminal GaAs/AlGaAs device, fabricated with an epitaxial…

强关联电子 · 物理学 2009-09-29 S. C. Dultz , B. Alavi , H. W. Jiang

The electrical conductivity is calculated for regular inhomogeneous two component isotropic medium in which droplets of one phase with conductivity sigma_2 are embedded in another, with conductivity sigma_1. An expression is formulated…

统计力学 · 物理学 2007-05-23 V. V. Kabanov , K. Zagar , D. Mihailovic

We examine the power spectrum of the energy level fluctuations of a family of critical power-law random banded matrices with properties similar to those of a disordered conductor at the Anderson transition. It is shown both analytically and…

无序系统与神经网络 · 物理学 2009-11-11 Antonio M. Garcia-Garcia

The critical behavior of pinned charge density waves (CDW's) is studied as the threshold for sliding is approached. Using the Fukuyama-Lee-Rice Hamiltonian with relaxational dynamics, the polarization and linear response are calculated…

凝聚态物理 · 物理学 2009-09-25 Daniel S. Fisher , A. Alan Middleton

Single-particle transport in disordered potentials is investigated on scales below the localization length. The dynamics on those scales is concretely analyzed for the 3-dimensional Anderson model with Gaussian on-site disorder. This…

统计力学 · 物理学 2010-11-05 Robin Steinigeweg , Hendrik Niemeyer , Jochen Gemmer

The carriers in graphene tuned close to the Dirac point envisage signatures of the strongly interacting fluid and are subject to hydrodynamic description. The important question is whether strong disorder induces the metal-insulator…

高能物理 - 理论 · 物理学 2020-03-18 Marek Rogatko , Karol I. Wysokinski

We study orbital magnetism of a degenerate electron gas in a number of two-dimensional integrable systems, within linear response theory. There are three relevant energy scales: typical level spacing, the energy related to the inverse time…

介观与纳米尺度物理 · 物理学 2009-10-28 E. Gurevich , B. Shapiro

We consider a two dimensional semiconductor with carriers subject to spin-orbit interactions and scattered by randomly distributed magnetic impurities. We solve the time-dependent Schroedinger equation to investigate the relationship…

介观与纳米尺度物理 · 物理学 2017-08-23 T. L. van den Berg , A. Verga

It is shown that the parametric spectral statistics in the critical random matrix ensemble with multifractal eigenvector statistics are identical to the statistics of correlated 1D fermions at finite temperatures. For weak multifractality…

介观与纳米尺度物理 · 物理学 2009-10-31 V. E. Kravtsov , A. M. Tsvelik

Discrete breathers are time-periodic, spatially localized solutions of the equations of motion for a system of classical degrees of freedom interacting on a lattice. An important issue, not only from a theoretical point of view but also for…

斑图形成与孤子 · 物理学 2009-11-10 Michael Kastner

Heavy-ion collisions at relativistic energies probe matter at extreme conditions of temperatures and energy densities. The study of event-by-event fluctuations of experimental observables is crucial to probe the QCD phase transition, locate…

核实验 · 物理学 2020-12-30 Tapan K. Nayak

Cyclotron resonance (CR) is considered one of the fundamental phenomena in conducting systems. In this paper, we study CR in a gated two-dimensional (2D) electron system (ES). Namely, we analyze the absorption of electromagnetic radiation…

介观与纳米尺度物理 · 物理学 2021-03-08 A. A. Zabolotnykh , V. A. Volkov

Recent experiments on non-interacting ultra-cold atoms in correlated disorder have yielded conflicting results regarding the so-called mobility edge, i.e. the energy threshold separating Anderson localized from diffusive states. At the same…

量子气体 · 物理学 2017-05-03 Michael Pasek , Giuliano Orso , Dominique Delande

We use electron transport to characterize monolayer graphene - multilayer MoS2 heterostructures. Our samples show ambipolar characteristics and conductivity saturation on the electron branch which signals the onset of MoS2 conduction band…

介观与纳米尺度物理 · 物理学 2016-08-17 S. Larentis , J. R. Tolsma , B. Fallahazad , D. C. Dillen , K. Kim , A. H. MacDonald , E. Tutuc

The physics of Anderson transitions between localized and metallic phases in disordered systems is reviewed. The term ``Anderson transition'' is understood in a broad sense, including both metal-insulator transitions and quantum-Hall-type…

介观与纳米尺度物理 · 物理学 2008-10-20 F. Evers , A. D. Mirlin