Effects of a kinetic barrier on limited-mobility interface growth models

Pereira, Anderson J.; Alves, Sidiney G.; Ferreira, Silvio C.

doi:10.1103/physreve.99.042802

Cited by 6 publications

(3 citation statements)

References 52 publications

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“…[45], for the case of a homogeneous XXZ model with target polarization at the boundaries and asymmetric external magnetic field, the authors show the existence of spin rectification for N > 2, but it does not exist for N = 2. Here, for the quantum Ising model, if we keep only nearest-neighbor interactions, there is also a drastic difference: there are heat current and rectification for N = 2, and no heat current for N > 2 [46]. Interestingly, in the presence of long range interactions capable to link the first to the last site of the chain, the heat current reappears together with the possibility of a perfect rectification if the temperature of one of the baths goes to zero [46].…”

Section: Quantum Spin Chainsmentioning

confidence: 99%

“…Here, for the quantum Ising model, if we keep only nearest-neighbor interactions, there is also a drastic difference: there are heat current and rectification for N = 2, and no heat current for N > 2 [46]. Interestingly, in the presence of long range interactions capable to link the first to the last site of the chain, the heat current reappears together with the possibility of a perfect rectification if the temperature of one of the baths goes to zero [46].…”

Section: Quantum Spin Chainsmentioning

confidence: 99%

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Thermal rectification in classical and quantum systems: Searching for efficient thermal diodes

Pereira

2019

EPL

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This mini-review addresses a bedrock problem for the advance of phononics: the building of feasible and efficient thermal diodes. We revisit investigations in classical and quantum systems. For the classical anharmonic chains of oscillators, the most used model for the study of heat conduction in insulating solids, we recall the ubiquitous occurrence of thermal rectification in graded systems, and we show that the match between graded structures and long range interactions is an efficient mechanism to increase the rectification factor. For the cases of genuine quantum models, we present the spin chains, such as the open XXZ model, as profitable systems for the occurrence of thermal rectification and other interesting related properties. In particular, we describe two cases of perfect diodes: one for the spin current, in a two-segmented XXZ model, and another one for the heat current in a simple quantum Ising model with long range interactions. We believe that such results involving interesting rectification properties in simple models will stimulate more theoretical and experimental investigations on the subject.

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Section: Quantum Spin Chainsmentioning

confidence: 99%

Section: Quantum Spin Chainsmentioning

confidence: 99%

Thermal rectification in classical and quantum systems: Searching for efficient thermal diodes

Pereira

2019

EPL

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“…Growth instabilities can induce the formation of mound-like patterns and it is well accepted that the original DT model displays quasiregular mound formation [62][63][64][65][66][67]84]. To investigate how diffusional fluctuations alter this characteristic feature, we show exemplary interface profiles for two diffusion lengths l and different values of σ 2 in Fig.…”

Section: Interface Profiles and The Effect Of Diffusional Fluctuationsmentioning

confidence: 99%

Modeling of nonequilibrium surface growth by a limited-mobility model with distributed diffusion length

Martynec

Klapp

2019

Phys. Rev. E

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Kinetic Monte-Carlo (KMC) simulations are a well-established numerical tool to investigate the time-dependent surface morphology in molecular beam epitaxy (MBE) experiments. In parallel, simplified approaches such as limited mobility (LM) models characterized by a fixed diffusion length have been studied. Here, we investigate an extended LM model to gain deeper insight into the role of diffusional processes concerning the growth morphology. Our model is based on the stochastic transition rules of the Das Sarma-Tamborena (DT) model, but differs from the latter via a variable diffusion length. A first guess for this length can be extracted from the saturation value of the meansquared displacement calculated from short KMC simulations. Comparing the resulting surface morphologies in the sub-and multilayer growth regime to those obtained from KMC simulations, we find deviations which can be cured by adding fluctuations to the diffusion length. This mimics the stochastic nature of particle diffusion on a substrate, an aspect which is usually neglected in LM models. We propose to add fluctuations to the diffusion length by choosing this quantity for each adsorbed particle from a Gaussian distribution, where the variance of the distribution serves as a fitting parameter. We show that the diffusional fluctuations have a huge impact on cluster properties during submonolayer growth as well as on the surface profile in the high coverage regime. The analysis of the surface morphologies on one-and two-dimensional substrates during sub-and multilayer growth shows that the LM model can produce structures that are indistinguishable to the ones from KMC simulations at arbitrary growth conditions.

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