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We present using simple scaling arguments and one step replica symmetry breaking a theory for the localization of semiflexible polymers in a quenched random environment. In contrast to completely flexible polymers, localization of…

Soft Condensed Matter · Physics 2009-11-10 Arti Dua , Thomas A. Vilgis

Comments: 4 pages RevTeX, 4 Postscript figures. References added. We study a two-dimensional granular superconducting network at the percolation threshold under the influence of an external perpendicular magnetic field. By numerical…

Condensed Matter · Physics 2009-10-31 Henning A. Knudsen , Alex Hansen

A completely opposite behavior of electronic localization is revealed in a spatially non-uniform disordered material compared to the traditional spatially uniform disordered one. This fact is substantiated by considering an order-disorder…

Mesoscale and Nanoscale Physics · Physics 2018-12-11 Madhuparna Banerjee , Baisakhi Mal , Santanu K. Maiti

We develop a numerical technique to study Anderson localization in interacting electronic systems. The ground state of the disordered system is calculated with quantum Monte-Carlo simulations while the localization properties are extracted…

Disordered Systems and Neural Networks · Physics 2009-02-25 Genevieve Fleury , Xavier Waintal

Weak topological insulators have an even number of Dirac cones in their surface spectrum and are thought to be unstable to disorder, which leads to an insulating surface. Here we argue that the presence of disorder alone will not localize…

Mesoscale and Nanoscale Physics · Physics 2012-02-17 Roger S. K. Mong , Jens H. Bardarson , Joel E. Moore

The one parameter scaling theory is a powerful tool to investigate Anderson localization effects in disordered systems. In this paper we show this theory can be adapted to the context of quantum chaos provided that the classical phase space…

Disordered Systems and Neural Networks · Physics 2008-07-08 Antonio M. Garcia-Garcia , Jiao Wang

The impact of a weak electric field on the weak-localization corrections is studied within the framework of a nonlinear sigma-model. Two scaling regimes are obtained. In one, the scaling is dominated by temperature; in the other, by the…

Statistical Mechanics · Physics 2009-11-10 O. Bleibaum , D. Belitz

We study the Directed Polymer model subject to a particular form of disorder, $\eta(x,t)=\eta_X(x) \eta_T(t)$, recently proposed in biological applications. We find that two new universality classes arise, depending on the the lattice…

Statistical Mechanics · Physics 2009-10-31 Paolo De Los Rios , Yi-Cheng Zhang

For thermal transport in one-dimensional (1D) systems, recent studies have suggested that employing different theoretical models and different numerical simulations under different system's parameter regimes might lead to different…

Statistical Mechanics · Physics 2016-02-01 Daxing Xiong

A recently proposed statistical model for the effects of decoherence on electron transport manifests a decoherence-driven transition from quantum-coherent localized to ohmic behavior when applied to the one-dimensional Anderson model. Here…

Mesoscale and Nanoscale Physics · Physics 2012-02-20 Matías Zilly , Orsolya Ujsághy , Marko Woelki , Dietrich E. Wolf

The onset of rigidity in interacting liquids, as they undergo a transition to a disordered solid, is associated with a rearrangement of the low-frequency vibrational spectrum. In this letter, we derive scaling forms for the singular…

Soft Condensed Matter · Physics 2022-11-08 Danilo B. Liarte , Stephen J. Thornton , Eric Schwen , Itai Cohen , Debanjan Chowdhury , James P. Sethna

We predict two different universal scaling regimes for the quantum transmission of metallic nanodevices following the addition of a small amount of uncorrelated disorder. A nanodevice is connected to two thin semi-infinite uniform leads,…

Mesoscale and Nanoscale Physics · Physics 2026-01-01 M. A. Novotny , Tomáš Novotný

We consider a two-component scaling picture for the resistivity of two-dimensional (2D) weakly disordered interacting electron systems at low temperature with the aim of describing both the vicinity of the bifurcation and the low resistance…

Strongly Correlated Electrons · Physics 2009-11-10 D. J. W. Geldart , D. Neilson

Using the supersymmetry technique combined with the transfer matrix method we calculate different physical quantities characterizing localization in disordered wires. In particular, we analyze the density-density correlation function and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. V. Kolesnikov , K. B. Efetov

Localization is one of the most fundamental interference phenomena caused by randomness, and its universal aspects have been extensively explored from the perspective of one-parameter scaling mainly for static properties. We numerically…

Quantum Gases · Physics 2021-09-01 Kazuya Fujimoto , Ryusuke Hamazaki , Yuki Kawaguchi

In most noninteracting quantum systems, the scaling theory of localization predicts one-parameter scaling flow in both ergodic and localized regimes. On the other hand, it is expected that the one-parameter scaling hypothesis breaks down…

Statistical Mechanics · Physics 2025-11-10 Rafał Świętek , Miroslav Hopjan , Carlo Vanoni , Antonello Scardicchio , Lev Vidmar

Disorder plays an important role in materials science, influencing material behavior across different length scales. Imperfections like vacancies, atomic substitutions, lattice distortions, and microstructural inhomogeneities, disrupt ideal…

Materials Science · Physics 2025-09-01 Saswata Halder , Binita Ghosh , T. P. Sinha

Sub-dimensional localization, also known as directional localization, arises when 2d electrons are subject to a periodic potential and incommensurate magnetic field which cause them to become exponentially localized along one crystal axis,…

Mesoscale and Nanoscale Physics · Physics 2024-10-30 Nisarga Paul , Philip J. D. Crowley

The effect of strong anisotropy on the Fermi line of a system of correlated electrons is studied in two space dimensions, using renormalization group techniques. Inflection points change the scaling exponents of the couplings, enhancing the…

Strongly Correlated Electrons · Physics 2009-10-30 J. Gonzalez , F. Guinea , M. A. H. Vozmediano

We revisit the scaling properties of the energy spectra in fully developed incompressible homogeneous turbulence in forced magnetofluids (MHD) in three dimensions (3D), which are believed to be characterised by {\em universal scaling…

Statistical Mechanics · Physics 2019-01-02 Abhik Basu , Jayanta K Bhattacharjee
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