scholarly journals Graphene with structure-induced spin-orbit coupling: Spin-polarized states, spin zero modes, and quantum Hall effect

2009 ◽  
Vol 79 (16) ◽  
Author(s):  
Emmanuel I. Rashba
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Orbit Coupling ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Zero Modes ◽  
Spin Polarized

scholarly journals Quantum Hall effect in graphene with interface-induced spin-orbit coupling

2018 ◽  
Vol 97 (8) ◽  
Author(s):  
Tarik P. Cysne ◽  
Jose H. Garcia ◽  
Alexandre R. Rocha ◽  
Tatiana G. Rappoport
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Orbit Coupling ◽  
Spin Orbit Coupling ◽  
Spin Orbit

scholarly journals Manipulation of Majorana bound states in proximity to a quantum ring with Rashba coupling

2021 ◽  
Author(s):  
Fabían Gonzalo Medina ◽  
Dunkan Martínez ◽  
Alvaro Díaz-Fernández ◽  
Francisco Domínguez-Adame ◽  
Luis Rosales ◽  
...  
Keyword(s):  
Bound States ◽  
Orbit Coupling ◽  
Quantum Ring ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Persistent Currents ◽  
Zero Modes ◽  
Rashba Spin ◽  
Spin Polarized ◽  
Rashba Coupling

Abstract The quest for Majorana zero modes in the laboratory is an active field of research in condensed matter physics. In this regard, there have been many theoretical proposals; however, their experimental detection remains elusive. In this article, we present a realistic setting by considering a quantum ring with Rashba spin-orbit coupling and threaded by a magnetic flux, in contact with a topological superconducting nanowire. We focus on spin-polarized persistent currents to assess the existence of Majorana zero modes. We find that the Rashba spin-orbit coupling allows for tuning the position of the zero modes and has sizable effects on spin-polarized persistent currents. Our results pave the way towards probing the existence of Majorana zero modes.

Measurement of the Intrinsic Anomalous Hall Effect in a 2D Hole System with Rashba Spin-orbit Coupling

2010 ◽  
Vol 57 (6(1)) ◽  
pp. 1933-1936 ◽  
Author(s):  
Hwayong Noh ◽  
S. Lee ◽  
S. H. Chun ◽  
Hyoung Chan Kim ◽  
L. N. Pfeiffer ◽  
...  
Keyword(s):  
Hall Effect ◽  
Anomalous Hall Effect ◽  
Orbit Coupling ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Rashba Spin

scholarly journals Spin precession in a fractional quantum Hall state with spin-orbit coupling

2005 ◽  
Vol 87 (11) ◽  
pp. 112508 ◽  
Author(s):  
Marco Califano ◽  
Tapash Chakraborty ◽  
Pekka Pietiläinen
Keyword(s):  
Quantum Hall ◽  
Orbit Coupling ◽  
Spin Precession ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Quantum Hall State

scholarly journals Counter-propagating charge transport in the quantum Hall effect regime

Science ◽  
2019 ◽  
Vol 363 (6422) ◽  
pp. 54-57 ◽  
Author(s):  
Fabien Lafont ◽  
Amir Rosenblatt ◽  
Moty Heiblum ◽  
Vladimir Umansky
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Electron Gas ◽  
Quantum Hall ◽  
Charge Carriers ◽  
Perpendicular Magnetic Field ◽  
Quantum Hall Regime ◽  
Hall Regime ◽  
Spin Polarized ◽  
Conjugate States

The quantum Hall effect, observed in a two-dimensional (2D) electron gas subjected to a perpendicular magnetic field, imposes a 1D-like chiral, downstream, transport of charge carriers along the sample edges. Although this picture remains valid for electrons and Laughlin’s fractional quasiparticles, it no longer holds for quasiparticles in the so-called hole-conjugate states. These states are expected, when disorder and interactions are weak, to harbor upstream charge modes. However, so far, charge currents were observed to flow exclusively downstream in the quantum Hall regime. Studying the canonical spin-polarized and spin-unpolarized v = 2/3 hole-like states in GaAs-AlGaAs heterostructures, we observed a significant upstream charge current at short propagation distances in the spin unpolarized state.

scholarly journals Quantum parity Hall effect in Bernal-stacked trilayer graphene

2019 ◽  
Vol 116 (21) ◽  
pp. 10286-10290 ◽  
Author(s):  
Petr Stepanov ◽  
Yafis Barlas ◽  
Shi Che ◽  
Kevin Myhro ◽  
Greyson Voigt ◽  
...  
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Exchange Interactions ◽  
Mirror Reflection ◽  
Edge States ◽  
State Variables ◽  
Coulomb Interactions ◽  
Spin Polarized ◽  
Trilayer Graphene

The quantum Hall effect has recently been generalized from transport of conserved charges to include transport of other approximately conserved-state variables, including spin and valley, via spin- or valley-polarized boundary states with different chiralities. Here, we report a class of quantum Hall effect in Bernal- or ABA-stacked trilayer graphene (TLG), the quantum parity Hall (QPH) effect, in which boundary channels are distinguished by even or odd parity under the system’s mirror reflection symmetry. At the charge neutrality point, the longitudinal conductance σxx is first quantized to 4e2/h at a small perpendicular magnetic field B⊥, establishing the presence of four edge channels. As B⊥ increases, σxx first decreases to 2e2/h, indicating spin-polarized counterpropagating edge states, and then, to approximately zero. These behaviors arise from level crossings between even- and odd-parity bulk Landau levels driven by exchange interactions with the underlying Fermi sea, which favor an ordinary insulator ground state in the strong B⊥ limit and a spin-polarized state at intermediate fields. The transitions between spin-polarized and -unpolarized states can be tuned by varying Zeeman energy. Our findings demonstrate a topological phase that is protected by a gate-controllable symmetry and sensitive to Coulomb interactions.

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