scholarly journals Chiral heat transport in driven quantum Hall and quantum spin Hall edge states

2011 ◽  
Vol 84 (23) ◽  
Author(s):  
Liliana Arrachea ◽  
Eduardo Fradkin
Keyword(s):  
Heat Transport ◽  
Quantum Hall ◽  
Quantum Spin ◽  
Edge States ◽  
Quantum Spin Hall

GRAPHENE AND THE QUANTUM SPIN HALL EFFECT

2007 ◽  
Vol 21 (08n09) ◽  
pp. 1155-1164 ◽  
Author(s):  
C. L. KANE
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Weak Interactions ◽  
Quantum Hall ◽  
Three Dimensional ◽  
Quantum Spin ◽  
Edge States ◽  
Hall Conductance ◽  
Single Plane ◽  
Quantum Spin Hall

We show that the intrinsic spin orbit interaction in a single plane of graphene converts the ideal two dimensional semi metallic groundstate of graphene into a quantum spin Hall (QSH) state. This novel electronic phase shares many similarities with the quantum Hall effect. It has a bulk excitation gap, but supports the transport of spin and charge in gapless "spin filtered" edge states on the sample boundary. We show that the QSH phase is associated with a Z2 topological invariant, which distinguishes it from an ordinary insulator. The Z2 classification, which is defined for any time reversal invariant Hamiltonian with a bulk excitation gap, is analogous to the Chern number classification of the quantum Hall effect. We argue that the QSH phase is topologically stable with respect to weak interactions and disorder. The QSH phase exhibits a finite (though not quantized) dissipationless spin Hall conductance even in the presence of weak disorder, providing a new direction for realizing dissipationless spin transport. We will discuss various proposals for experimentally observing the QSH phase, along with generalizations of this effect in three dimensional systems.

scholarly journals Emergent quantum Hall effects below 50 mT in a two-dimensional topological insulator

2020 ◽  
Vol 6 (26) ◽  
pp. eaba4625
Author(s):  
Saquib Shamim ◽  
Wouter Beugeling ◽  
Jan Böttcher ◽  
Pragya Shekhar ◽  
Andreas Budewitz ◽  
...  
Keyword(s):  
Quantum Wells ◽  
Quantum Hall ◽  
Quantum Spin ◽  
Majorana Fermions ◽  
Quantum Spin Hall Effect ◽  
Topological Materials ◽  
Quantum Hall Effects ◽  
Hall Effects ◽  
Low Magnetic Field ◽  
Quantum Spin Hall

The realization of the quantum spin Hall effect in HgTe quantum wells has led to the development of topological materials, which, in combination with magnetism and superconductivity, are predicted to host chiral Majorana fermions. However, the large magnetization in conventional quantum anomalous Hall systems makes it challenging to induce superconductivity. Here, we report two different emergent quantum Hall effects in (Hg,Mn)Te quantum wells. First, a previously unidentified quantum Hall state emerges from the quantum spin Hall state at an exceptionally low magnetic field of ~50 mT. Second, tuning toward the bulk p-regime, we resolve quantum Hall plateaus at fields as low as 20 to 30 mT, where transport is dominated by a van Hove singularity in the valence band. These emergent quantum Hall phenomena rely critically on the topological band structure of HgTe, and their occurrence at very low fields makes them an ideal candidate for realizing chiral Majorana fermions.

scholarly journals Testing topological protection of edge states in hexagonal quantum spin Hall candidate materials

2018 ◽  
Vol 98 (16) ◽  
Author(s):  
Fernando Dominguez ◽  
Benedikt Scharf ◽  
Gang Li ◽  
Jörg Schäfer ◽  
Ralph Claessen ◽  
...  
Keyword(s):  
Quantum Spin ◽  
Edge States ◽  
Quantum Spin Hall

scholarly journals Finite Size Effects on Helical Edge States in a Quantum Spin-Hall System

2008 ◽  
Vol 101 (24) ◽  
Author(s):  
Bin Zhou ◽  
Hai-Zhou Lu ◽  
Rui-Lin Chu ◽  
Shun-Qing Shen ◽  
Qian Niu
Keyword(s):  
Size Effects ◽  
Finite Size ◽  
Quantum Spin ◽  
Edge States ◽  
Finite Size Effects ◽  
Quantum Spin Hall

scholarly journals Nonlinear Ballistic Response of Quantum Spin Hall Edge States

2021 ◽  
Vol 127 (20) ◽  
Author(s):  
Pankaj Bhalla ◽  
Ming-Xun Deng ◽  
Rui-Qiang Wang ◽  
Lan Wang ◽  
Dimitrie Culcer
Keyword(s):  
Quantum Spin ◽  
Edge States ◽  
Quantum Spin Hall
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