Capacitance, induced charges, and bound states of biased carbon nanotube systems

Pomorski, Paweł; Pastewka, Lars; Roland, Christopher; Guo, Hong; Wang, Jian

doi:10.1103/physrevb.69.115418

Cited by 32 publications

(21 citation statements)

References 45 publications

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“…Bound states have recently been studied in the context of the NEGF formalism 17,18 , but to our knowledge, this particular problem of equilibration has not been addressed earlier.…”

Section: Introductionmentioning

confidence: 99%

Nonequilibrium Green’s function formalism and the problem of bound states

2006

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The non-equilibrium Green's function formalism for infinitely extended reservoirs coupled to a finite system can be derived by solving the equations of motion for a tight-binding Hamiltonian.While this approach gives the correct density for the continuum states, we find that it does not lead, in the absence of any additional mechanisms for equilibration, to a unique expression for the density matrix of any bound states which may be present. Introducing some auxiliary reservoirs which are very weakly coupled to the system leads to a density matrix which is unique in the equilibrium situation, but which depends on the details of the auxiliary reservoirs in the non-equilibrium case.

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“…Bound states have recently been studied in the context of the NEGF formalism 17,18 , but to our knowledge, this particular problem of equilibration has not been addressed earlier.…”

Section: Introductionmentioning

confidence: 99%

Nonequilibrium Green’s function formalism and the problem of bound states

2006

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“…The quantum transport in the presence of localized bound states has also been studied in the literatures. 24,[26][27][28][29] In fact, Dhar and Sen considered a wire connected to reservoirs that is modeled by a tight-binding noninteracting Hamiltonian in the partitioned scheme, 24 and they gave the steady-state solution of the density matrix and the current. Their results show that the memory effects induced by the localized bound states can be observed such that the density matrix of the system is initial-state dependent.…”

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confidence: 99%

Master equation approach to transient quantum transport in nanostructures incorporating initial correlations

2015

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In this paper, the exact transient quantum transport of non-interacting nanostructures is investigated in the presence of initial system-lead correlations and initial lead-lead correlations for a device system coupled to general electronic leads. The exact master equation incorporating with initial correlations is derived through the extended quantum Langevin equation. The effects of the initial correlations are manifested through the time-dependent fluctuations contained explicitly in the exact master equation. The transient transport current incorporating with initial correlations is obtained from the exact master equation. The resulting transient transport current can be expressed in terms of the single-particle propagating and correlation Green functions of the device system. We show that the initial correlations can affect quantum transport not only in the transient regime, but also in the steady-state limit when system-lead couplings are strong enough so that electron localized bound states occur in the device system.

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“…The electronic and structural properties of MWCNTs change as the inner tube rotates or slides about the tube axis [5]. Although the capacitance of most MWCNTs is small, its value may be boosted by nesting and/or inserting nanotubes into each other [6]. The intershell transport of MWCNTs is the tunnel type, and the transmission is consistent with the estimate based on the overlap between the π orbitals of neighboring shells [7].…”

Section: Introductionmentioning

confidence: 79%