Effects of impurity scattering on the quantized conductance of a quasi-one-dimensional quantum wire

2009 ◽  
Vol 94 (1) ◽  
pp. 012105 ◽  
Author(s):  
J. C. Chen ◽  
Yiping Lin ◽  
Kuan Ting Lin ◽  
T. Ueda ◽  
S. Komiyama
Keyword(s):  
Quantum Wire ◽  
Impurity Scattering ◽  
One Dimensional

scholarly journals Electronic Properties of Quasi-One-Dimensional Semiconductor Nanostructures: Plasmons and Exchange-Correlation Effects in Quantum Wires

1993 ◽  
Vol 46 (3) ◽  
pp. 359
Author(s):  
S Das Sarma ◽  
Ben Yu-Kuang Hu
Keyword(s):  
Fermi Surface ◽  
Finite Temperature ◽  
Quantum Wire ◽  
Impurity Scattering ◽  
Low Energy ◽  
One Dimensional ◽  
Exchange Correlation ◽  
Self Energy ◽  
Scattering Rate ◽  
Emission Threshold

We review the many-body exchange-correlation properties of electrons confined to the lowest sub-band of a quantum wire, including effects of impurity scattering. Without impurity scattering, the virtual excitations of arbitrarily low energy one-dimensional plasmons destroy the Fermi surface of the electrons, whereas the presence of impurity scattering damps out the low energy plasmons and restores the Fermi surface. The electron inelastic scattering rate r in the absence of scattering is zero below a critical wavevector kc corresponding to the plasmon emission threshold, above which r diverges as (k - kc )-1/2 for k -t kc. For typical wire widths and electron densities currently available, the calculated bandgap renormalisation is found to be on the order of 10-20 meV. We also calculate the finite-temperature inelastic scattering rates and mean free paths of electrons injected into a quantum wire containing a quasi-one-dimensional electron gas. We show that there is a very sharp increase in the electron scattering rate at the one-dimensional plasmon emission threshold. Based on these results, we suggest the possibility of a one-dimensional hot-electron device which possesses an I - V curve with a sharp onset of a large negative differential resistance. We also present a general method for obtaining expressions for the analytic continuation of finite-temperature self-energies which are suitable for use in numerical computations. In the case of the GW approximation for the self-energy, this method gives the finite-temperature generalisation of the zero-temperature 'line and pole' decomposition. This formalism is used to calculate the finite-temperature self-energy and bandgap renormalisation of electrons in the extreme quantum limit of a quantum wire. A brief review of the experimental and theoretical status of plasmons in quantum wire structures is given.

scholarly journals Dynamical response of a one-dimensional quantum-wire electron system

1996 ◽  
Vol 54 (3) ◽  
pp. 1936-1946 ◽  
Author(s):  
S. Das Sarma ◽  
E. H. Hwang
Keyword(s):  
Quantum Wire ◽  
Electron System ◽  
Dynamical Response ◽  
One Dimensional

Interactions in a coupled row of electrons formed in a quasi-one-dimensional quantum wire

2011 ◽  
Author(s):  
L. W. Smith ◽  
K. J. Thomas ◽  
M. Pepper ◽  
W. K. Hew ◽  
I. Farrer ◽  
...  
Keyword(s):  
Quantum Wire ◽  
One Dimensional

scholarly journals Observation of a one-dimensional spin–orbit gap in a quantum wire

2010 ◽  
Vol 6 (5) ◽  
pp. 336-339 ◽  
Author(s):  
C. H. L. Quay ◽  
T. L. Hughes ◽  
J. A. Sulpizio ◽  
L. N. Pfeiffer ◽  
K. W. Baldwin ◽  
...  
Keyword(s):  
Quantum Wire ◽  
Spin Orbit ◽  
One Dimensional

Quantum transport in a corrugated one-dimensional quantum wire

1998 ◽  
Vol 58 (7) ◽  
pp. 3557-3560 ◽  
Author(s):  
KyoungWan Park ◽  
Seongjae Lee ◽  
Mincheol Shin ◽  
Jong Seol Yuk ◽  
El-Hang Lee ◽  
...  
Keyword(s):  
Quantum Transport ◽  
Quantum Wire ◽  
One Dimensional

MAGNETO-CONTROLLING QUANTUM STATES OF A SINGLE PARTICLE INTERACTING WITH A SQUARE BARRIER

2008 ◽  
Vol 22 (12) ◽  
pp. 1231-1241
Author(s):  
QIONG CHEN ◽  
KUO HAI ◽  
WENHUA HAI
Keyword(s):  
Theoretical Analysis ◽  
Single Particle ◽  
Quantum Wire ◽  
Lower Energy ◽  
Magnetic Trap ◽  
Quantum States ◽  
Series Solutions ◽  
One Dimensional ◽  
Barrier Region ◽  
D Values

We obtain the exact solutions of a single particle magneto-confined in a one-dimensional (1D) quantum wire with a single square barrier. Theoretical analysis and numerical computation show that for a set of fixed barrier height and width, the quantum levels and states of the system depend on the displacement d of the magnetic trap, and for a fixed d value the system occupies only one or two lower quantum levels of n ≤ 20 of a free harmonic oscillator. In the barrier region, the finite-sized effect implies that only for some discrete barrier parameters and d values, the system has the Hermitian polynomial solutions, otherwise it has the infinite series solutions. Therefore, one can manipulate the external motional states of the system and prepare some required lower energy states by adjusting the displacement of the magnetic trap experimentally.

Sign in / Sign up

Export Citation Format

Share Document