Phonon transport properties of a mass–spring simple cubic nanocrystal within the harmonic approximation

Mardaani, Mohammad; Rabani, Hassan; Keshavarz, M

doi:10.1016/j.physe.2012.02.015

Cited by 5 publications

(4 citation statements)

References 17 publications

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“…The pairs of figures 2 of (a, d), (b, e), and (c, f) correspond to the cases including nonlinearity in two, alternative, and all masses in them. At the zero values for both α and λ corresponding to the ideal system, the transmission takes its maximum value of one [26]. Generally, in the weaker horizontal spring constant in the middle of the system (α < 0), the transmission goes more rapidly to zero with respect to the stronger ones (α > 0).…”

Section: Resultsmentioning

confidence: 97%

“…Therefore, the parallel planes of atoms and the forces between them can be modeled by the mass-spring chain [1]. However, the present model can be easily extended to the square lattice in two and three dimensions by separating dynamic equations in different directions [26]. In this section, with the help of Green's function technique, we introduce a model to investigate the nonlinearity effects on the thermal conductance of an extended mass-spring chain.…”

Section: Model and Formalismmentioning

confidence: 99%

“…In this paper, we suggest a model for heat transport properties of an extended mass-spring chain due to the importance of nonlinearity by using the Green function's theory method according to our previous approach and works [26][27][28]. The computing phonon transmission coefficient, thermal conductivity and specific heat in the presence of the nonlinearity are the main purposes of the paper.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinearity effects on thermal transport properties of a mass-spring chain

Akbari Chaleshtori,

Rabani,

Mardaani

2024

Phys. Scr.

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Using Green's function technique, we present a self-consistent formalism to study the phonon transport propertiesof an extended nonlinear mass-spring chain. We calculate the phonon transmission coefficient, thermal conductivity,and specific heat for some chains with different configurations of masses feeling the nonlinearity potential.The numerical results show that in a critical value of the nonlinearity coefficient, a sharp decrease in thermalconductivity will be observed. The same scenario happens in a critical temperatureproportional to the inverse of the nonlinearity coefficient for the specific heat.Indeed, thermal conductor-insulator transition can occur in the system depending on the strength and distribution of nonlinearity.The model can aid our understanding of the effect of lattice nonlinearity on thermalproperties of one-dimensional materials to design the thermal switches.

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Section: Resultsmentioning

confidence: 97%

Section: Model and Formalismmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Nonlinearity effects on thermal transport properties of a mass-spring chain

Akbari Chaleshtori,

Rabani,

Mardaani

2024

Phys. Scr.

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“…In that case, the transfer integral can be expressed as a function of both distance between atoms and the space orientations of orbitals. For a mass–spring system including N atoms and

N - 1

springs, after diagonalization of the phonon Hamiltonian by using closed boundary conditions , the displacement is given by the following relation:

u_{i, m} = y \sqrt{\frac{2}{N - 1}} sin \frac{m π i}{N - 1} 1 cm false(N > 2 false),

where y is a dimensionless position variable and m is limited to values of 1 to

N - 2

. Also, the eigenfrequency for the m th mode is

ω_{m} = 2 ω_{0} false| sin \frac{m π}{2 false(N - 1 false)} false|,

where

ω_{0} = \sqrt{C / M}

.…”

Section: Framework Of Formalismmentioning

confidence: 99%

Coherent electronic conductance of a nanowire in the presence of electron–phonon interaction

Mardaani

Rabani

2014

Physica Status Solidi (b)

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We study the effect of electron–phonon (e–ph) interaction on the coherent electronic conductance of a one‐dimensional extended nanowire within the nearest‐neighbour tight‐binding and harmonic approximations. We suppose that the electrodes at the end of the wire are rigid and the e–ph interaction exists only in the centre of the wire. Therefore, we can use closed boundary conditions to diagonalize the phononic part of the centre wire Hamiltonian. After separating the phononic modes, we employ the Green's function technique for the electronic tight‐binding Hamiltonian. Then, we calculate the electron transmission coefficient in the adiabatic regime at zero bias. The model is applied to a uniform chain and wires, which have alternating on‐site or hopping energies. The results show that in all of these systems, the e–ph interaction has more effect on the conductance at the edges of the energy band. Additionally, in the systems including an internal gap, the effect of the e–ph interaction is negligible in the gap region, especially for long lengths of the centre wire.

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Transmission of longitudinal phonons through a mass-spring nanoring

Rabani

Mardaani

2015

Physica E: Low-dimensional Systems and Nanostructures

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Phonon transport properties of a mass–spring simple cubic nanocrystal within the harmonic approximation

Cited by 5 publications

References 17 publications

Nonlinearity effects on thermal transport properties of a mass-spring chain

Nonlinearity effects on thermal transport properties of a mass-spring chain

Coherent electronic conductance of a nanowire in the presence of electron–phonon interaction

Transmission of longitudinal phonons through a mass-spring nanoring

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