Effect of transverse electric field on helical edge states in a quantum spin-Hall system

2011 ◽  
Vol 99 (22) ◽  
pp. 222111 ◽  
Author(s):  
Genhua Liu ◽  
Guanghui Zhou ◽  
Yong-Hai Chen
Keyword(s):  
Electric Field ◽  
Transverse Electric ◽  
Quantum Spin ◽  
Transverse Electric Field ◽  
Edge States ◽  
Quantum Spin Hall

The giant Stark effect in armchair-edge phosphorene nanoribbons under a transverse electric field

2018 ◽  
Vol 382 (4) ◽  
pp. 193-198 ◽  
Author(s):  
Benliang Zhou ◽  
Benhu Zhou ◽  
Pu Liu ◽  
Guanghui Zhou
Keyword(s):  
Electric Field ◽  
Stark Effect ◽  
Transverse Electric ◽  
Transverse Electric Field

Intersubband radiation in weakly bound superlattice structures with wide quantum wells in a transverse electric field

2007 ◽  
Vol 34 (7) ◽  
pp. 189-193
Author(s):  
N. V. Dyakonova ◽  
O. A. Klimenko ◽  
W. Knap ◽  
Ya. A. Mityagin ◽  
V. N. Murzin ◽  
...  
Keyword(s):  
Electric Field ◽  
Quantum Wells ◽  
Transverse Electric ◽  
Transverse Electric Field ◽  
Weakly Bound ◽  
Superlattice Structures

EDGE MAGNETISM AND QUANTUM SPIN HALL EFFECT IN ZIGZAG GRAPHENE NANORIBBON

2013 ◽  
Vol 27 (15) ◽  
pp. 1362011 ◽  
Author(s):  
JUN-WON RHIM ◽  
KYUNGSUN MOON
Keyword(s):  
Electric Field ◽  
Hall Effect ◽  
Graphene Nanoribbon ◽  
Quantum Spin ◽  
Spin Hall Effect ◽  
Nonmonotonic Dependence ◽  
Quantum Spin Hall Effect ◽  
Edge Spin ◽  
Edge Band ◽  
Quantum Spin Hall

We present here a brief review on the remarkable consequences of the flat bands formed at the edges of the Zigzag graphene nanoribbon (ZGNR). The inclusion of the on-site Coulomb interaction is shown to induce the edge spin ferromagnetism, whose spin stiffness demonstrates a nonmonotonic dependence on the lateral electric field. The critical electric field strength corresponds to that of the insulator to half-metal transition. The inclusion of the spin–orbit coupling (SOC) has been believed to generate the quantum spin Hall effect (QSHE) guiding into the interesting new field of topological insulator. By carefully investigating the SOC near the edge, we have shown that the additional σ-edge band gives a marginal perturbation and hence the existence of the QSHE depends on the coupling strength between the π-edge bands and the σ-edge band. We demonstrate that for the charge neutral ZGNR, the QSHE does not occur in the pristine ZGNR, while the hydrogen passivation along the edge may recover the expected feature of the QSHE.

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