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We investigate the steady state heat current in two and three dimensional disordered harmonic crystals in a slab geometry, connected at the boundaries to stochastic white noise heat baths at different temperatures.The disorder causes short…

Disordered Systems and Neural Networks · Physics 2015-05-13 Abhishek Chaudhuri , Anupam Kundu , Dibyendu Roy , Abhishek Dhar , Joel L. Lebowitz , Herbert Spohn

We consider heat transport in one-dimensional harmonic chains attached at its ends to Langevin heat baths. The harmonic chain has mass impurities where the separation $d$ between any two successive impurities is randomly distributed…

Disordered Systems and Neural Networks · Physics 2019-11-05 I. F. Herrera-Gonzalez , J. A. Mendez-Bermudez

We consider heat transport across a harmonic chain of charged particles, with transverse degrees of freedom, in the presence of a uniform magnetic field. For an open chain connected to heat baths at the two ends we obtain the nonequilibrium…

Statistical Mechanics · Physics 2021-12-22 Junaid Bhat , Gaëtan Cane , Cédric Bernardin , Abhishek Dhar

We study the heat current J in a classical one-dimensional disordered chain with on-site pinning and with ends connected to stochastic thermal reservoirs at different temperatures. In the absence of anharmonicity all modes are localized and…

Disordered Systems and Neural Networks · Physics 2009-11-13 Abhishek Dhar , J. L. Lebowitz

We investigate the steady state heat current in two and three dimensional isotopically disordered harmonic lattices. Using localization theory as well as kinetic theory we estimate the system size dependence of the current. These estimates…

Disordered Systems and Neural Networks · Physics 2010-07-13 Anupam Kundu , Abhishek Chaudhuri , Dibyendu Roy , Abhishek Dhar , Joel L. Lebowitz , Herbert Spohn

We study heat conduction in quantum disordered harmonic chains connected to general heat reservoirs which are modeled as infinite collection of oscillators. Formal exact expressions for the thermal current are obtained and it is shown that,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Abhishek Dhar

We explore transport properties in a disordered nonlinear chain of classical harmonic oscillators and thereby identify a regime exhibiting behavior analogous to that seen in quantum many-body-localized systems. Through extensive numerical…

Statistical Mechanics · Physics 2020-08-26 Manoj Kumar , Anupam Kundu , Manas Kulkarni , David A. Huse , Abhishek Dhar

We introduce a variant of the Banded Random Matrix ensemble and show, using detailed numerical analysis and theoretical arguments, that the phonon heat current in disordered quasi-one-dimensional lattices obeys a one-parameter scaling law.…

Disordered Systems and Neural Networks · Physics 2013-02-07 Joshua D. Bodyfelt , Mei C. Zheng , Ragnar Fleischmann , Tsampikos Kottos

We study the localization properties of normal modes in harmonic chains with mass and spring weak disorder. Using a perturbative approach, an expression for the localization length is obtained, which is valid for arbitrary correlations of…

Disordered Systems and Neural Networks · Physics 2023-03-09 I. F. Herrera-Gonzalez , J. A. Mendez-Bermudez

Using the tight-binding model, we investigate the influence of vacancy disorder on electrical transport in graphene Hall bars in the presence of quantizing magnetic fields. Disorder, induced by a random distribution of monovacancies, breaks…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 M. D. Petrović , F. M. Peeters

In the study of oscillatory electron transport in high-mobility Si MOSFETs at low temperatures we observed two correlated effects in weak in-plane magnetic fields: a steep decrease of the renormalized magnetic susceptibility $\chi^*(H)$ and…

Strongly Correlated Electrons · Physics 2021-07-21 V. M. Pudalov , M. E. Gershenson

We address the general problem of heat conduction in one dimensional harmonic chain, with correlated isotopic disorder, attached at its ends to white noise or oscillator heat baths. When the low wavelength $\mu$ behavior of the power…

Disordered Systems and Neural Networks · Physics 2019-11-05 I. F. Herrera-Gonzalez , J. A. Mendez-Bermudez

We present a detailed numerical analysis of the effect of a magnetic field on the transport properties of a `small-$N$' one-sided surface disordered wire. When time reversal symmetry is broken due to a magnetic field $B$, we find a strong…

Mesoscale and Nanoscale Physics · Physics 2016-08-16 A. García-Martín , M. Governale , P. Wölfle

We consider heat transport in one-dimensional harmonic chains with isotopic disorder, focussing our attention mainly on how disorder correlations affect heat conduction. Our approach reveals that long-range correlations can change the…

Disordered Systems and Neural Networks · Physics 2016-08-08 I. F. Herrera-González , F. M. Izrailev , L. Tessieri

Quantum transport in inhomogeneous magnetic fields is investigated numerically in two-dimensional systems using the equation of motion method. In particular, the diffusion of electrons in random magnetic fields in the presence of additional…

Disordered Systems and Neural Networks · Physics 2009-11-10 Tohru Kawarabayashi , Tomi Ohtsuki

The main idea of magnetic hyperthermia is to increase locally the temperature of the human body by means of injected superparamagnetic nanoparticles. They absorb energy from a time-dependent external magnetic field and transfer it into…

Soft Condensed Matter · Physics 2021-09-27 Zs. Iszaly , I. G. Marian , I. A. Szabo , A. Trombettoni , I. Nandori

We investigate heat transport via a charged flexible chain in the presence of magnetic fields. We focus on the Nernst-like effect, where the average positions of particles deviate in the perpendicular direction to the heat flow. This…

Statistical Mechanics · Physics 2018-12-05 Shuji Tamaki , Keiji Saito

The interplay of different scattering mechanisms can lead to novel effects in transport. We show theoretically that the interplay of weak impurity and Umklapp scattering in spin-1/2 chains leads to a pronounced dip in the magnetic field…

Strongly Correlated Electrons · Physics 2009-11-13 E. Shimshoni , D. Rasch , P. Jung , A. V. Sologubenko , A. Rosch

We consider thermal transport in low-dimensional disordered harmonic networks of coupled masses. Utilizing known results regarding Anderson localization, we derive the actual dependence of the thermal conductance $G$ on the length $L$ of…

Disordered Systems and Neural Networks · Physics 2016-07-05 Isaac Weinberg , Yaron de Leeuw , Tsampikos Kottos , Doron Cohen

We apply the hierarchical equations of motion technique to analyzing nonequilibrium heat transport in a spin-boson type model, whereby heat transfer through a central spin is mediated by an intermediate pair of coupled harmonic oscillators.…

Mesoscale and Nanoscale Physics · Physics 2024-07-29 Graeme Pleasance , Francesco Petruccione
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