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Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
New Journal of Physics · 2007 · Vol. 9(9) · pp. 356–356
Shuichi Murakami✉(The University of Tokyo)
Abstract
Phase transitions between the quantum spin Hall and the insulator phases in three dimensions are studied. We find that in inversion-asymmetric systems there appears a gapless phase between the quantum spin Hall and insulator phases in three dimensions, which is in contrast with the two-dimensional case. Existence of this gapless phase stems from a topological nature of gapless points (diabolical points) in three dimensions, but not in two dimensions.
Topological Materials and PhenomenaQuantum and electron transport phenomenaChemical and Physical Properties of MaterialsGapless playbackTopological insulatorInsulator (electricity)Quantum phase transitionQuantum spin Hall effectQuantum Hall effectTopological orderPhase transition
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References
Quantized Hall conductivity in two dimensions
Physical review. B, Condensed matter · 1981 · 2,443 citations
Topological Insulators in Three Dimensions
Physical Review Letters · 2007 · 4,579 citations
Topological invariants of time-reversal-invariant band structures
Physical Review B · 2007 · 2,323 citations
Quantum Spin Hall Effect in Graphene
Physical Review Letters · 2005 · 7,975 citations
Topological insulators with inversion symmetry
Physical Review B · 2007 · 4,132 citations
Conversion of spin current into charge current at room temperature: Inverse spin-Hall effect
Applied Physics Letters · 2006 · 2,109 citations
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>Z</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math>Topological Order and the Quantum Spin Hall Effect
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