Spin Hall effect in a kagome lattice driven by Rashba spin-orbit interaction

2012/01/31 by Moumita Dey, Santanu K. Maiti, S. N. Karmakar +1 · 1 citation
Physics and Astronomy · #Condensed matter physics #Conductance #Electron #Fermi Gamma-ray Space Telescope #Fermi energy #Hall effect #Lattice (music) #Magnetic field #Magnetic flux #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Scattering #Spin (aerodynamics) #Spin Hall effect #Spin polarization #Spin–orbit interaction #Topological Materials and Phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1063/1.4739724

published as Journal of Applied Physics, Volume 112, Issue 2, Page 024322 (2012) · 10 pages, 10 figures

arxiv created 2012/06/19 · openalex publication_date 2012/07/15 · arxiv updated 2012/07/31 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Using four-terminal Landauer-Büttiker formalism and Green’s function technique, in this present paper, we calculate numerically spin Hall conductance (SHC) and longitudinal conductance of a finite size kagome lattice with Rashba spin-orbit (SO) interaction both in the presence and absence of external magnetic flux in clean limit. In the absence of magnetic flux, we observe that depending on the Fermi surface topology of the system SHC changes its sign at certain values of Fermi energy. Unlike the infinite system (where SHC is a universal constant ±e8π), here SHC depends on the external parameters like SO coupling strength, Fermi energy, etc. We show that in the presence of any arbitrary magnetic flux, periodicity of the system is lost and the features of SHC tend to get reduced because of elastic scattering. But again at some typical values of flux (ϕ=12, 14, 34…, etc.) the system retains its periodicity depending on its size and the features of spin Hall effect (SHE) reappears. Our predicted results may be useful in providing a deeper insight into the experimental realization of SHE in such geometries.

Citations

• Observation of the Spin Hall Effect in Semiconductors
• Extrinsically vs. intrinsically driven spin Hall effect in disordered mesoscopic multiterminal bars
• Mesoscopic spin Hall effect in multiprobe ballistic spin-orbit-coupled semiconductor bridges
• SU(2)non-Abelian holonomy and dissipationless spin current in semiconductors
• Spin-Orbit Coupling Effects in Zinc Blende Structures
• Spin Hall Current Driven by Quantum Interferences in Mesoscopic Rashba Rings
• Universal Intrinsic Spin Hall Effect
• Quantum interference in superconducting wire networks and Josephson junction arrays: An analytical approach based on multiple-loop Aharonov-Bohm Feynman path integrals
• Spin-Hall Insulator
• Dissipationless Quantum Spin Current at Room Temperature

Cited by

• Interplay of Rashba spin orbit coupling and disorder in the conductance properties of a four terminal junction device

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• Resonant spin Hall conductance in quantum Hall systems lacking bulk and structural inversion symmetry