BOSONIZATION AND ITS APPLICATION TO TRANSPORT IN QUANTUM WIRES

2013 ◽  
Vol 27 (11) ◽  
pp. 1330007 ◽  
Author(s):  
FEIFEI LI
Keyword(s):  
Magnetic Field ◽  
Quantum Wire ◽  
Uniform Magnetic Field ◽  
Quantum Wires ◽  
Voltage Source ◽  
Explicit Calculation ◽  
Mesoscopic Systems ◽  
One Dimensional ◽  
Alternating Voltage

This paper reviews the method of bosonization for one-dimensional interacting fermions. Example of its application to mesoscopic systems is presented with an explicit calculation of the spin and charge currents in an interacting quantum wire subject to a uniform magnetic field and alternating voltage source. Special emphasis is given to the details of the calculation using bosonization and Keldysh techniques.

Spin splitting of one-dimensional subbands in high quality quantum wires at zero magnetic field

2000 ◽  
Vol 62 (23) ◽  
pp. 15842-15850 ◽  
Author(s):  
K. S. Pyshkin ◽  
C. J. B. Ford ◽  
R. H. Harrell ◽  
M. Pepper ◽  
E. H. Linfield ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Quantum Wires ◽  
Spin Splitting ◽  
Zero Magnetic Field ◽  
High Quality ◽  
One Dimensional

Electron in a Quantum Wire in the Presence of Parallel and Perpendicular Magnetic Fields

2013 ◽  
Vol 380-384 ◽  
pp. 4837-4840
Author(s):  
Xiu Zhi Duan ◽  
Guang Xin Wang
Keyword(s):  
Magnetic Field ◽  
Magnetic Fields ◽  
Effective Mass ◽  
Electron Energy ◽  
Quantum Wire ◽  
Quantum Wires ◽  
Electron States ◽  
Mass Approximation ◽  
The Magnetic Field ◽  
Rectangular Quantum Wires

The electron states of self-assembled rectangular quantum wires (QWRs) are investigated in detail in the presence of a magnetic field. The calculations are done in the single band effective mass approximation. We study the electron states for the magnetic fields applied along and perpendicular to the wire, taking into account the different masses of the various particles inside and outside the QWRs. The electron energy and the influence of the magnetic field are discussed in this paper.

scholarly journals Excitonic Eigenstates of Disordered Semiconductor Quantum Wires: Adaptive Wavelet Computation of Eigenvalues for the Electron-Hole Schrödinger Equation

2013 ◽  
Vol 14 (1) ◽  
pp. 21-47 ◽  
Author(s):  
Christian Mollet ◽  
Angela Kunoth ◽  
Torsten Meier
Keyword(s):  
Schrödinger Equation ◽  
Quantum Wire ◽  
Schrodinger Equation ◽  
Quantum Wires ◽  
Exciton State ◽  
Weak Form ◽  
Electron Hole ◽  
Adaptive Wavelet ◽  
One Dimensional ◽  
The Wire

AbstractA novel adaptive approach to compute the eigenenergies and eigenfunctions of the two-particle (electron-hole) Schrödinger equation including Coulomb attraction is presented. As an example, we analyze the energetically lowest exciton state of a thin one-dimensional semiconductor quantum wire in the presence of disorder which arises from the non-smooth interface between the wire and surrounding material. The eigenvalues of the corresponding Schrödinger equation, i.e., the one-dimensional exciton Wannier equation with disorder, correspond to the energies of excitons in the quantum wire. The wavefunctions, in turn, provide information on the optical properties of the wire.We reformulate the problem of two interacting particles that both can move in one dimension as a stationary eigenvalue problem with two spacial dimensions in an appropriate weak form whose bilinear form is arranged to be symmetric, continuous, and coercive. The disorder of the wire is modelled by adding a potential in the Hamiltonian which is generated by normally distributed random numbers. The numerical solution of this problem is based on adaptive wavelets. Our scheme allows for a convergence proof of the resulting scheme together with complexity estimates. Numerical examples demonstrate the behavior of the smallest eigenvalue, the ground state energies of the exciton, together with the eigenstates depending on the strength and spatial correlation of disorder.

scholarly journals Electron Transport In One-Dimensional Magnetic Superlattices

VLSI Design ◽  
1998 ◽  
Vol 8 (1-4) ◽  
pp. 559-565
Author(s):  
Zhen-Li Ji ◽  
D. W. L. Sprung
Keyword(s):  
Magnetic Field ◽  
Electron Transport ◽  
Low Temperature ◽  
Transport Properties ◽  
Quantum Wires ◽  
Spatial Distributions ◽  
One Dimensional ◽  
Magnetic Superlattices ◽  
Electron Transport Properties ◽  
The One

Electron transport properties of quantum wires in the presence of a periodically modulated magnetic field are investigated. For a short modulated wire, we find dips in conductance just below each mode threshold. The conductance dips are quite robust at low temperature. Increasing the number of periods of magnetic modulation can lead to the formation of minibands and gaps. The differences between the one dimensional (1D) electric superlattice and 1D magnetic superlattice are discussed. We also consider the spatial distributions of currents, which show dramatic differences between the magnetic superlattices and electric ones.

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