Related papers: Less is more: more scattering leading to less resistance

Less is more: more scattering leading to less resistance

URL: http://arxiv.org/abs/2109.08390v2
Date: Mon, 31 Jan 2022 07:36:41 GMT
Title: Less is more: more scattering leading to less resistance
Authors: Marko Znidaric
Abstract summary: We study the breaking of integrability by a finite density of dilute impurities. We find a regime at high impurity density in which, counterintuitively, adding more impurities to an already diffusive system increases transport rather than decreases it.
Score: 0.0
License: http://creativecommons.org/licenses/by-nc-nd/4.0/
Abstract: We study the breaking of integrability by a finite density of dilute impurities, specifically the emerging diffusive transport. Provided the distance between impurities (localized perturbations) is large, one would expect that the scattering rates are additive, and therefore, the resistivity is proportional to the number of impurities (the so-called Matthiessen's rule). We show that this is, in general, not the case. If transport is anomalous in the original integrable system without impurities, the diffusion constant in the non-integrable system at low impurity density gets a nontrivial power-law dependence on the impurity density, with the power being determined by the dynamical scaling exponent of anomalous transport. We also find a regime at high impurity density in which, counterintuitively, adding more impurities to an already diffusive system increases transport rather than decreases it.

Related papers

Smooth Diffusion: Crafting Smooth Latent Spaces in Diffusion Models [82.8261101680427]
Smooth latent spaces ensure that a perturbation on an input latent corresponds to a steady change in the output image. This property proves beneficial in downstream tasks, including image inversion, inversion, and editing. We propose Smooth Diffusion, a new category of diffusion models that can be simultaneously high-performing and smooth.
arXiv Detail & Related papers (2023-12-07T16:26:23Z)
Unraveling the role of disorderness in superconducting materials on qubit coherence [29.656495634900356]
We demonstrate the first and a systematic characterization of fluxonium qubits with the superinductors made from titanium-aluminum-nitride with varied disorderness. Results reveal that the $1/f$ flux noise dominates the qubit decoherence around the flux-frustration point, strongly correlated with the material disorderness.
arXiv Detail & Related papers (2023-10-10T13:38:13Z)
The density of a one-dimensional Bose gas far from an impurity [55.2480439325792]
We consider an impurity in a weakly-interacting Bose gas and calculate the density profile of the Bose gas. The effect of quantum fluctuations drastically changes this behavior, leading to a power law decay of the density deviation from the mean density. The obtained results are exact in the impurity coupling strength and account for the leading order in the interaction between the particles of the Bose gas.
arXiv Detail & Related papers (2023-08-29T08:56:24Z)
Noise Induced Universal Diffusive Transport in Fermionic Chains [0.0]
We develop a microscopic transport theory in a randomly driven fermionic model with and without linear potential. The universal diffusive behavior is attributed to a noise-induced bound state arising in the operator equations of motion at small momentum. We then characterize the fate of Stark localization in the presence of noise.
arXiv Detail & Related papers (2023-04-05T18:04:50Z)
On the characterisation of fragmented Bose-Einstein condensation and its emergent effective evolution [77.34726150561087]
Fragmented Bose-Einstein condensates are large systems of identical bosons displaying macroscopic occupations of one-body states. Characterising fragmentation solely in terms of reduced density matrices is unsatisfactory and ambiguous. We provide a quantitative rate of convergence to the leading effective dynamics in the double limit of infinitely many particles and infinite energy gap.
arXiv Detail & Related papers (2022-11-14T06:25:19Z)
Extended quasiparticle Pad\'e approximation for non-Fermi liquids [0.0]
The extended quasiparticle picture is adapted to non-Fermi systems. The quality of the Pad'e approximation for the spectral function is demonstrated. The Tan contact reveals the same universal behaviour as known from electron-electron scattering.
arXiv Detail & Related papers (2022-08-25T09:56:14Z)
In-Gap Band Formation in a Periodically Driven Charge Density Wave Insulator [68.8204255655161]
Periodically driven quantum many-body systems host unconventional behavior not realized at equilibrium. We investigate such a setup for strongly interacting spinless fermions on a chain, which at zero temperature and strong interactions form a charge density wave insulator.
arXiv Detail & Related papers (2022-05-19T13:28:47Z)
Thermalization of dilute impurities in one dimensional spin chains [0.0]
We analyze a crossover between ergodic and non-ergodic regimes in a spin chain with a dilute density of impurities. We propose a mechanism for the delocalization of these impurities in the thermodynamic limit.
arXiv Detail & Related papers (2021-05-19T18:23:36Z)
Density profile of a semi-infinite one-dimensional Bose gas and bound states of the impurity [62.997667081978825]
We study the effect of the boundary on a system of weakly interacting bosons in one dimension. The quantum contribution to the boson density gives rise to small corrections of the bound state energy levels.
arXiv Detail & Related papers (2020-07-21T13:12:33Z)
Weak integrability breaking: chaos with integrability signature in coherent diffusion [0.0]
We study how perturbations affect dynamics of integrable many-body quantum systems. Small extensive perturbations cause an immediate transition from integrability to chaos. Matthiessen's rule has to be modified in non-ballistic systems.
arXiv Detail & Related papers (2020-06-17T11:56:04Z)

This list is automatically generated from the titles and abstracts of the papers in this site.