One‐Dimensional Quantum Waveguide Theory

2017 ◽  
pp. 285-300
Author(s):  
Jian-Bai Xia ◽  
Duan-Yang Liu
Keyword(s):  
Quantum Waveguide ◽  
One Dimensional ◽  
Waveguide Theory

QUANTUM WAVEGUIDE THEORY FOR TRIPLY CONNECTED AHARONOV–BOHM RINGS

1996 ◽  
Vol 10 (06) ◽  
pp. 701-712 ◽  
Author(s):  
CHANG-MO RYU ◽  
SAM YOUNG CHO ◽  
MINCHEOL SHIN ◽  
KYOUNG WAN PARK ◽  
SEONGJAE LEE ◽  
...  
Keyword(s):  
Magnetic Flux ◽  
Wave Vector ◽  
Quantum Interference ◽  
Transmission Probability ◽  
Interference Effects ◽  
Quantum Waveguide ◽  
One Dimensional ◽  
Waveguide Theory ◽  
Aharonov Bohm ◽  
Transmission And Reflection

Quantum interference effects for a mesoscopic loop with three leads are investigated by using a one-dimensional quantum waveguide theory. The transmission and reflection probabilities are analytically obtained in terms of the magnetic flux, arm length, and wave vector. Oscillation of the magnetoconductance is explicitly demonstrated. Magnetoconductance is found to be sharply peaked for certain localized values of flux and kl. In addition, it is noticed that the periodicity of the transmission probability with respect to kl depends more sensitively on the lead position, compared to the case of the two-lead loop.

One-dimensional quantum waveguide theory of Rashba electrons

2009 ◽  
Vol 106 (9) ◽  
pp. 093705 ◽  
Author(s):  
Duan-Yang Liu ◽  
Jian-Bai Xia ◽  
Yia-Chung Chang
Keyword(s):  
Quantum Waveguide ◽  
One Dimensional ◽  
Waveguide Theory

QUANTUM WAVEGUIDE THEORY FOR A MESOSCOPIC RING SUBJECT TO THE AHARONOV–CASHER EFFECT

1996 ◽  
Vol 10 (09) ◽  
pp. 401-407 ◽  
Author(s):  
CHANG-MO RYU ◽  
TAESEUNG CHOI ◽  
CHUL KOO KIM ◽  
KYUN NAHM
Keyword(s):  
Gauge Theory ◽  
Quantum Interference ◽  
Transmission Probability ◽  
Quantum Waveguide ◽  
One Dimensional ◽  
Device Application ◽  
Waveguide Theory ◽  
Mesoscopic Ring ◽  
Aharonov Bohm

A one-dimensional quantum waveguide theory is developed for a mesoscopic ring subject to the Aharonov–Casher(AC) effect based on the SU (2) spin gauge theory. The quantum interference by the AC effect is found to be equivalent to that by the Aharonov–Bohm(AB) effect. This indicates that AC effect can be utilized for device application in a very similar manner to the AB effect. The transmission probability induced by the AC effect is shown to be identical for the spin up and down components.

QUANTUM TRANSPORT IN MESOSCOPIC RINGS WITH STUBS

1996 ◽  
Vol 10 (26) ◽  
pp. 3569-3581 ◽  
Author(s):  
SAM YOUNG CHO ◽  
TAESEUNG CHOI ◽  
CHANG-MO RYU
Keyword(s):  
Quantum Transport ◽  
Transmission Probability ◽  
Localized States ◽  
Persistent Currents ◽  
Quantum Waveguide ◽  
One Dimensional ◽  
Continuum States ◽  
Discrete States ◽  
The One ◽  
The Continuum

Quantum transport in the open-system mesoscopic rings with stubs in the absence of magnetic field is investigated by using the one-dimensional quantum waveguide theory. It is shown that discretely localized states due to the presence of stubs play an important role in the electron transport. The behavior of transmission probability shows the asymmetric Fano resonance, which arises from the interaction between the continuum states and the discrete states. Amplification of the persistent currents by the localized states due to the stub is clearly shown. Negative currents are also noticed.

Quantum waveguide theory for mesoscopic structures

1992 ◽  
Vol 45 (7) ◽  
pp. 3593-3599 ◽  
Author(s):  
Jian-Bai Xia
Keyword(s):  
Quantum Waveguide ◽  
Waveguide Theory

ELECTRON TRANSPORT IN MULTIPLY CONNECTED AHARONOV-BOHM RINGS

2005 ◽  
Vol 19 (15n17) ◽  
pp. 2865-2870 ◽  
Author(s):  
WANYIN CUI ◽  
GUOJUN JIN
Keyword(s):  
General Theory ◽  
Transmission Coefficient ◽  
Persistent Currents ◽  
Quantum Waveguide ◽  
One Dimensional ◽  
Multiply Connected ◽  
Periodic Ring ◽  
Ring Structures ◽  
Aharonov Bohm ◽  
Precise Expression

We investigate the transmission coefficient and persistent current of periodically arranged Aharonov-Bohm rings coupled to external leads. A general theory of quantum waveguide based on the transfer matrix method is developed and is used to study one-dimensional periodic ring structures. A precise expression for the transmission coefficient is derived. The results show that in the contacted ring case the conduction band electrons give rise to periodically arranged persistent currents in the structure, while the band gap electrons can cause giant persistent currents in the first few loops. We also observe isolated transmission peaks in the periodically arranged rings connected via leads.

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