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Paper Information

Journal:   IRANIAN JOURNAL OF PHYSICS RESEARCH   WINTER 2018 , Volume 17 , Number 5 ; Page(s) 717 To 727.
 
Paper: 

THE EFFECT OF UNIFORM SPIN-ORBIT COUPLING AND UNIFORM MAGNETIC FIELD ON THE TOPOLOGICAL PROPERTIES OF ONE-DIMENSIONAL DIMERIZED NANOWIRE

 
 
Author(s):  BAHARI M., HOSSEINI M.V.*
 
* DEPARTMENT OF PHYSICS, FACULTY OF SCIENCE, UNIVERSITY OF ZANJAN, ZANJAN, IRAN
 
Abstract: 

We theoretically demonstrate the interplay of uniform spin-orbit coupling and uniform Zeeman magnetic field on the topological properties of one-dimensional double well nano wire which is known as Su-Schrieffer-Heeger (SSH) model. The system in the absence of Zeeman magnetic field and presence of uniform spin-orbit coupling exhibits topologically trivial/non–trivial insulator depending on the hopping amplitudes and spin-orbit coupling strength. Topological phases of this system can be determined by integers Z which are related to the Zak phase of occupied Bloch bands. In the phase diagram, there are three different regions with topologically distinct phases. The system is non-trivial insulator in two of them whereas one of the regions is related to the topologically trivial insulator. We find that the topologically trivial phase in the presence of both uniform spin-orbit coupling and uniform Zeeman magnetic field changes to a topologically non-trivial phase. The number of symmetry protected zero-energy edge states under open boundary conditions are also calculated, which suggest that the topological number Z reduces to the Z2 when applying Zeeman field. Furthermore, the symmetries of the Hamiltonian are investigated, implying that the system has time-reversal, particle-hole, chiral and inversion symmetries and belongs to the BDI class either in the presence or absence of uniform Zeeman magnetic field.

 
Keyword(s): ONE-DIMENSIONAL TOPOLOGICAL INSULATOR, TIGHT-BINDING APPROXIMATION, UNIFORM SPIN-ORBIT COUPLING, UNIFORM ZEEMAN MAGNETIC FIELD, ZAK PHASE
 
 
References: 
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Citations: 
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+ Click to Cite.
APA: Copy

BAHARI, M., & HOSSEINI, M. (2018). THE EFFECT OF UNIFORM SPIN-ORBIT COUPLING AND UNIFORM MAGNETIC FIELD ON THE TOPOLOGICAL PROPERTIES OF ONE-DIMENSIONAL DIMERIZED NANOWIRE. IRANIAN JOURNAL OF PHYSICS RESEARCH, 17(5 ), 717-727. https://www.sid.ir/en/journal/ViewPaper.aspx?id=573292



Vancouver: Copy

BAHARI M., HOSSEINI M.V.. THE EFFECT OF UNIFORM SPIN-ORBIT COUPLING AND UNIFORM MAGNETIC FIELD ON THE TOPOLOGICAL PROPERTIES OF ONE-DIMENSIONAL DIMERIZED NANOWIRE. IRANIAN JOURNAL OF PHYSICS RESEARCH. 2018 [cited 2021July28];17(5 ):717-727. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=573292



IEEE: Copy

BAHARI, M., HOSSEINI, M., 2018. THE EFFECT OF UNIFORM SPIN-ORBIT COUPLING AND UNIFORM MAGNETIC FIELD ON THE TOPOLOGICAL PROPERTIES OF ONE-DIMENSIONAL DIMERIZED NANOWIRE. IRANIAN JOURNAL OF PHYSICS RESEARCH, [online] 17(5 ), pp.717-727. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=573292.



 
 
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