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Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
We show that the quantum spin Hall (QSH) effect, a state of matter with topological properties distinct from those of conventional insulators, can be realized in mercury telluride–cadmium tellurideExpand
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Topological field theory of time-reversal invariant insulators
We show that the fundamental time-reversal invariant (TRI) insulator exists in $4+1$ dimensions, where the effective-field theory is described by the $(4+1)$-dimensional Chern-Simons theory and theExpand
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Quantized electric multipole insulators
Corner-dwelling topological states Computing the electric polarization of a crystal is surprisingly tricky, but it can be tackled with the help of a topological concept, the so-called Berry phase.Expand
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Electric multipole moments, topological multipole moment pumping, and chiral hinge states in crystalline insulators
We extend the theory of dipole moments in crystalline insulators to higher multipole moments. In this paper, we expand in great detail the theory presented in Ref. 1, and extend it to coverExpand
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Chiral topological superconductor from the quantum Hall state
The chiral topological superconductor in two dimensions has a full pairing gap in the bulk and a single chiral Majorana state at the edge. The vortex of the chiral superconducting state carries aExpand
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Quantum spin Hall effect in inverted type-II semiconductors.
The quantum spin Hall (QSH) state is a topologically nontrivial state of quantum matter which preserves time-reversal symmetry; it has an energy gap in the bulk, but topologically robust gaplessExpand
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The Quantum Spin Hall Effect: Theory and Experiment
The search for topologically non-trivial states of matter has become an important goal for condensed matter physics. Recently, a new class of topological insulators has been proposed. TheseExpand
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Quantization of Fractional Corner Charge in C n -symmetric Topological Crystalline Insulators
In the presence of crystalline symmetries, certain topological insulators present a filling anomaly: a mismatch between the number of electrons in an energy band and the number of electrons requiredExpand
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Topological invariants for the Fermi surface of a time-reversal-invariant superconductor
A time reversal invariant (TRI) topological superconductor has a full pairing gap in the bulk and topologically protected gapless states on the surface or at the edge. In this paper, we show that inExpand
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Time-reversal-invariant topological superconductors and superfluids in two and three dimensions.
We construct time-reversal invariant topological superconductors and superfluids in two and three dimensions. These states have a full pairing gap in the bulk, gapless counterpropagating MajoranaExpand
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