Topological superconductivity, topological confinement, and the vortex quantum Hall effect
نویسندگان
چکیده
منابع مشابه
Topological quantum numbers in the Hall effect
Topological quantum numbers account for the precise quantization that occurs in the integer Hall effect. In this theory, Kubo’s formula for the conductance acquires a topological interpretation in terms of Chern numbers and their non-commutative analog, the Fredholm Indices.
متن کاملRevealing topological superconductivity in extended quantum spin Hall Josephson junctions.
Quantum spin Hall-superconductor hybrids are promising sources of topological superconductivity and Majorana modes, particularly given recent progress on HgTe and InAs/GaSb. We propose a new method of revealing topological superconductivity in extended quantum spin Hall Josephson junctions supporting "fractional Josephson currents." Specifically, we show that as one threads magnetic flux betwee...
متن کاملThe quantum spin Hall effect and topological insulators
form many different states of matter, such as crystalline solids, magnets, and superconductors. Those different states can be classified by the symmetries they spontaneously break— translational, rotational, and gauge symmetries, respectively, for the examples above. Before 1980 all states of matter in condensed-matter systems could be classified by the principle of broken symmetry. The quantum...
متن کاملZ2 topological order and the quantum spin Hall effect.
The quantum spin Hall (QSH) phase is a time reversal invariant electronic state with a bulk electronic band gap that supports the transport of charge and spin in gapless edge states. We show that this phase is associated with a novel Z2 topological invariant, which distinguishes it from an ordinary insulator. The Z2 classification, which is defined for time reversal invariant Hamiltonians, is a...
متن کاملFractional Quantum Hall Effect, Jain’s Rule, and Topological Textures.
It is demonstrated that the Jain's rule for determining fractions in the quantum Hall effect can be obtained without recourse to the phenomenological concept of composite fermions. The possibility to have the special topologically nontrivial many-electron wave functions is considered. Their group classification indicate the special values of of electron density in the ground states separated by...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review B
سال: 2011
ISSN: 1098-0121,1550-235X
DOI: 10.1103/physrevb.84.094520