Universal phase diagrams for the quantum spin Hall systems

dc.creatorMurakami, Shuichi
dc.creatorKuga, Shun-ichi
dc.date2008-06-20
dc.date2008-10-08
dc.date.accessioned2026-07-07T10:09:19Z
dc.date.available2026-07-07T10:09:19Z
dc.descriptionWe describe how the three-dimensional quantum spin Hall phase arises from the insulator phase by changing an external parameter. In 3D systems without inversion symmetry, a gapless phase should appear between the two phases with a bulk gap. The gapless points are monopoles and antimonopoles (in k space), whose topological nature is the source of this gapless phase. In general, when the external parameter is changed from the ordinary insulator phase, two monopole-antimonopole pairs are created and the system becomes gapless. The gap-closing points (monopoles and antimonopoles) then move in the k space as the parameter is changed further. They eventually annihilate in pairs, with changing partners from the pair creations, and the system opens a gap again, entering into the quantum spin Hall phase.
dc.description10 pages, 8 figures, minor changes, to be published in Phys. Rev. B
dc.identifierhttps://arxiv.org/abs/0806.3309
dc.identifierhttp://arxiv.org/abs/0806.3309
dc.identifierPhys. Rev. B 78, 165313 (2008)
dc.identifierdoi:10.1103/PhysRevB.78.165313
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171282
dc.subjectMesoscale and Nanoscale Physics
dc.titleUniversal phase diagrams for the quantum spin Hall systems
dc.typetext

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