Thermal Transport in One-Dimensional Electronic Fluids

Samanta, Rickmoy; Protopopov, I. V.; Mirlin, A. D.; Gutman, D. B.

doi:10.1103/physrevlett.122.206801

Cited by 19 publications

(25 citation statements)

References 54 publications

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“…On the other hand, because the local contribution (1) to the thermal conductivity is exponentially amplified by the long relaxation time τ , one should expect the non-local effects to become significant only at frequencies that are exponentially smaller than τ −1 . Frequency dependence of thermal conductivity of one-dimensional electronic fluid was recently studied by R. Samanta et al [25]. In addition to the crossover from the result (1) to a power-law scaling at ω → 0, they obtained several additional parametric frequency regions, including one in which κ(ω) is consistent with our result for κ ex .…”

Section: Discussion Of the Resultssupporting

confidence: 88%

“…The remaining relaxation modes φ (l) p describe how the non-equilibrium distribution function approaches the form (25) at the first stage of the relaxation process, dominated by the processes of Fig. 1(b) and (c).…”

Section: Thermal Conductivity At Low Temperaturesmentioning

confidence: 99%

“…First of all, the equilibrium distribution n (0) p now takes the form (25) and depends on four parameters, α, β, γ, and δα. A small temperature gradient ∂ x T results in a small deviation of the distribution function from the equilibrium form, see Eq.…”

Section: Thermal Conductivity Of the Gas Of Elementary Excitationsmentioning

confidence: 99%

“…1(a) one can no longer exclude the possibility of a time-dependent difference of the chemical potentials of the right-and left-moving particles. This results in the following assumptions regarding the parameters of the equilibrium distribution (25)…”

Section: Thermal Conductivity Of the Gas Of Elementary Excitationsmentioning

confidence: 99%

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Thermal conductivity of the degenerate one-dimensional Fermi gas

Матвеев

Ristivojević

2019

Phys. Rev. B

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We study heat transport in a gas of one-dimensional fermions in the presence of a small temperature gradient. At temperatures well below the Fermi energy there are two types of relaxation processes in this system, with dramatically different relaxation rates. As a result, in addition to the usual thermal conductivity, one can introduce the thermal conductivity of the gas of elementary excitations, which quantifies the dissipation in the system in the broad range of frequencies between the two relaxation rates. We develop a microscopic theory of these transport coefficients in the limit of weak interactions between the fermions. arXiv:1901.08136v2 [cond-mat.mes-hall]

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Section: Discussion Of the Resultssupporting

confidence: 88%

Section: Thermal Conductivity At Low Temperaturesmentioning

confidence: 99%

Section: Thermal Conductivity Of the Gas Of Elementary Excitationsmentioning

confidence: 99%

Section: Thermal Conductivity Of the Gas Of Elementary Excitationsmentioning

confidence: 99%

See 2 more Smart Citations

Thermal conductivity of the degenerate one-dimensional Fermi gas

Матвеев

Ristivojević

2019

Phys. Rev. B

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“…Manifestations of KPZ universality in quantum systems are subject to on-going research (see Refs. [31][32][33][34] for works outside of the present context). It should be noted, however, that a theoretical understanding of why KPZ universality emerges in the integrable XXX chain is still lacking.…”

Section: B Spin Profiles At M = 0: Kpz Scalingmentioning

confidence: 99%

High-temperature spin dynamics in the Heisenberg chain: Magnon propagation and emerging Kardar-Parisi-Zhang scaling in the zero-magnetization limit

et al. 2020

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The large-scale dynamics of quantum integrable systems is often dominated by ballistic modes due to the existence of stable quasi-particles. We here consider as an archetypical example for such a system the spin-1/2 XXX Heisenberg chain that features magnons and their bound states. An interesting question, which we here investigate numerically, arises with respect to the fate of ballistic modes at finite temperatures in the limit of zero magnetization m=0. At a finite magnetization density m, the spin-autocorrelation function Π(x, t) (at high temperatures) typically exhibits a trimodal behavior with left and right moving quasi-particle modes and a broad center peak with slower dynamics. The broadening of the fastest propagating modes exhibits a sub-diffusive t 1/3 scaling at large magnetization densities, m ≈ 1/2, familiar from non-interacting models; it crosses over into a diffusive scaling t 1/2 upon decreasing the magnetization to smaller values. The behavior of the center peak appears to exhibit a crossover from transient super-diffusion to ballistic relaxation at long times. In the limit m→0 the weight carried by the propagating peaks tends to zero; the residual dynamics is carried only by the central peak; it is sub-ballistic and characterized by a dynamical exponent z close to the value 3/2 familiar from Kardar-Parisi-Zhang (KPZ) scaling. We confirm that, employing elaborate finite time extrapolations, that the spatial scaling of the correlator Π is in excellent agreement with KPZ-type behavior and analyze the corresponding corrections. :1908.11432v1 [cond-mat.stat-mech] arXiv

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Non-Fourier heat transport in nanosystems

et al. 2023

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Energy transfer in small nano-sized systems can be very different from that in their macroscopic counterparts due to reduced dimensionality, interaction with surfaces, disorder, and large fluctuations. Those ingredients may induce non-diffusive heat transfer that requires to be taken into account on small scales. We provide an overview of the recent advances in this field from the points of view of nonequilibrium statistical mechanics and atomistic simulations. We summarize the underlying basic properties leading to violations of the standard diffusive picture of heat transport and its universal features, with some historical perspective. We complete this scenario by illustrating also the effects of long-range interaction and integrability on non-diffusive transport. Then we discuss how all of these features can be exploited for thermal management, rectification and to improve the efficiency of energy conversion. We conclude with a review on recent achievements in atomistic simulations of anomalous heat transport in single polymers, nanotubes and two-dimensional materials. A short account of the existing experimental literature is also given.

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Thermal Transport in One-Dimensional Electronic Fluids

Cited by 19 publications

References 54 publications

Thermal conductivity of the degenerate one-dimensional Fermi gas

Thermal conductivity of the degenerate one-dimensional Fermi gas

High-temperature spin dynamics in the Heisenberg chain: Magnon propagation and emerging Kardar-Parisi-Zhang scaling in the zero-magnetization limit

Non-Fourier heat transport in nanosystems

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