Transport in Nanostructures

Abstract

The advent of semiconductor structures whose characteristic dimensions are smaller than the mean free path of carriers has led to the development of novel devices, and advances in theoretical understanding of mesoscopic systems or nanostructures. This book has been thoroughly revised and provides a much-needed update on the very latest experimental research into mesoscopic devices and develops a detailed theoretical framework for understanding their behaviour. Beginning with the key observable phenomena in nanostructures, the authors describe quantum confined systems, transmission in nanostructures, quantum dots, and single electron phenomena. Separate chapters are devoted to interference in diffusive transport, temperature decay of fluctuations, and non-equilibrium transport and nanodevices. Throughout the book, the authors interweave experimental results with the appropriate theoretical formalism. The book will be of great interest to graduate students taking courses in mesoscopic physics or nanoelectronics, and researchers working on semiconductor nanostructures.

Effect of lattice mismatch on phonon transmission and interface thermal conductance across dissimilar material interfaces

“…The matrix operation is computationally prohibitive even if the iterative solving procedure is applied in decimation technique. In order to reduce the computational cost, we use the recursive AGF method 40 in this paper, which calculates the response of the whole system from the responses of separated sub-systems and uses matrices only 1/4 size of the ones in decimation technique for the calculations (the details will be discussed shortly in section II.B). For example, for a simulated system with crosssectional area of 9 unit cells, our method is about 13 times faster than the decimation technique.…”

Wave transport and statistical properties of an open non-Hermitian quantum dot with parity-time symmetry

“…Examples are open quantum dots or cavities, planar microwave billiards, acoustic reverberation rooms, optical cavities and microchip lasers, special electric RLC networks, etc. [1][2][3][4][5]. Many times the analysis of the underlying dynamics of such systems may be reduced to Schrödinger or Helmholtz types of equations.…”

An Approach to Quantum Transport Based on Reduced Hierarchy Equations of Motion: Application to a Resonant Tunneling Diode

“…[11][12][13][14][15] As an example, we employ a model describing the thermal effects in resonant tunneling diodes (RTDs). 16,17) Although the validity of the Caldeira-Leggett Hamiltonian for describing electron transport phenomena has not yet been investigated thoroughly, because it has a firm quantum mechanical foundation, and because we feel that it is necessary to investigate the validity of the previous theoretical results in a fully quantum mechanical treatment, we believe that the present study will be helpful in constructing a general understanding of electron transport phenomena.Due to quantum effects, an RTD system exhibits novel negative differential resistance (NDR) in its current-voltage (I-V ) relation. 18) Moreover, current oscillations, 19) plateaulike behavior and hysteresis of the I-V curve have been observed in the NDR region.…”