Nonlinear quantum heat transfer in hybrid structures: Sufficient conditions for thermal rectification

Wu, Lian-Ao; Yu, Claire X.; Segal, Dvira

doi:10.1103/physreve.80.041103

Cited by 68 publications

(82 citation statements)

References 80 publications

(182 reference statements)

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“…In the strict weak-coupling limit (α ≪ 1) assuming wide-band reservoirs, ∆ ≪ ω c , one can use the Born-Markov approximation and derive analytical expressions for the energy current in the unbiased (ω 0 = 0) SS and SB models [54]. In the SS model the current follows…”

Section: Born-markov Expressionsmentioning

confidence: 99%

Two-level system in spin baths: Non-adiabatic dynamics and heat transport

Segal

2014

The Journal of Chemical Physics

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We study the non-adiabatic dynamics of a two-state subsystem in a bath of independent spins using the non-interacting blip approximation, and derive an exact analytic expression for the relevant memory kernel. We show that in the thermodynamic limit, when the subsystem-bath coupling is diluted (uniformly) over many (infinite) degrees of freedom, our expression reduces to known results, corresponding to the harmonic bath with an effective, temperature-dependent, spectral density function. We then proceed and study the heat current characteristics in the out-of-equilibrium spin-spin-bath model, with a two-state subsystem bridging two thermal spin-baths of different temperatures. We compare the behavior of this model to the case of a spin connecting boson baths, and demonstrate pronounced qualitative differences between the two models. Specifically, we focus on the development of the thermal diode effect, and show that the spin-spin-bath model cannot support it at weak (subsystem-bath) coupling, while in the intermediate-strong coupling regime its rectifying performance outplays the spin-boson model.

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Section: Born-markov Expressionsmentioning

confidence: 99%

Two-level system in spin baths: Non-adiabatic dynamics and heat transport

Segal

2014

The Journal of Chemical Physics

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“…The method is detailed in Ref. [43] where it was applied onto an impurity single-site model. Here, we generalize this treatment for studying the energy current behavior in an extended system.…”

Section: A Methodsmentioning

confidence: 99%

“…At this stage one should choose a particular form for the bath operators coupled to the subsystem. For example, selecting the displacement operators [43], the rate constants reduce to (m > n)…”

Section: A Methodsmentioning

confidence: 99%

“…Complemented by the conservation of the total probability, P n = 1, we can numerically obtain the steady state occupation probabilities at each state. The energy current, at the level of the Born-Markov approximation, is given by [43] …”

Section: A Methodsmentioning

confidence: 99%

“…Under these conditions baths' modes in resonance with the subsystem frequencies are populated, responsible for the subsystem excitation and relaxation processes. This resonance energy transfer process can be treated within the BornMarkov approximation scheme [42,43]. In Sec.…”

Section: Modelmentioning

confidence: 99%

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Theory of quantum energy transfer in spin chains: Superexchange and ballistic motion

Segal

2011

The Journal of Chemical Physics

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Quantum energy transfer in a chain of two-level (spin) units, connected at its ends to two thermal reservoirs, is analyzed in two limits: (i) In the off-resonance regime, when the characteristic subsystem excitation energy gaps are larger than the reservoirs frequencies, or the baths temperatures are low. (ii) In the resonance regime, when the chain excitation gaps match populated bath modes. In the latter case the model is studied using a master equation approach, showing that the dynamics is ballistic for the particular chain model explored. In the former case we analytically study the system dynamics utilizing the recently developed Energy-Transfer Born-Oppenheimer formalism [Phys. Rev. E 83, 051114 (2011)], demonstrating that energy transfers across the chain in a superexchange (bridge assisted tunneling) mechanism, with the energy current decreasing exponentially with distance. This behavior is insensitive to the chain details. Since at low temperatures the excitation spectrum of molecular systems can be truncated to resemble a spin chain model, we argue that the superexchange behavior obtained here should be observed in widespread systems satisfying the off-resonance condition.

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Nonequilibrium Green’s function method for quantum thermal transport

et al. 2013

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This review deals with the nonequilibrium Green's function (NEGF) method applied to the problems of energy transport due to atomic vibrations (phonons), primarily for small junction systems. We present a pedagogical introduction to the subject, deriving some of the well-known results such as the Laudauer-like formula for heat current in ballistic systems. The main aim of the review is to build the machinery of the method so that it can be applied to other situations, which are not directly treated here. In addition to the above, we consider a number of applications of NEGF, not in routine model system calculations, but in a few new aspects showing the power and usefulness of the formalism. In particular, we discuss the problems of multiple leads, coupled left-right-lead system, and system without a center. We also apply the method to the problem of full counting statistics. In the case of nonlinear systems, we make general comments on the thermal expansion effect, phonon relaxation time, and a certain class of mean-field approximations. Lastly, we examine the relationship between NEGF, reduced density matrix, and master equation approaches to thermal transport.

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Nonlinear quantum heat transfer in hybrid structures: Sufficient conditions for thermal rectification

Cited by 68 publications

References 80 publications

Two-level system in spin baths: Non-adiabatic dynamics and heat transport

Two-level system in spin baths: Non-adiabatic dynamics and heat transport

Theory of quantum energy transfer in spin chains: Superexchange and ballistic motion

Nonequilibrium Green’s function method for quantum thermal transport

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