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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 the…
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 telluride…
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 cover…
Quantization of fractional corner charge in Cn -symmetric higher-order 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 required…
Quantized electric multipole insulators
This work introduces a paradigm in which “nested” Wilson loops give rise to topological invariants that have been overlooked and opens a venue for the expansion of the classification of topological phases of matter.
Quantum spin Hall effect in inverted type-II semiconductors.
- C. Liu, T. Hughes, X. Qi, Kang Wang, Shou-Cheng Zhang
- Physics, MedicinePhysical review letters
- 18 January 2008
Remarkably, the topological quantum phase transition between the conventional insulating state and the quantum spin Hall state can be continuously tuned by the gate voltage, enabling quantitative investigation of this novel phase transition.
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. These…
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 a…
Time-reversal-invariant topological superconductors and superfluids in two and three dimensions.
It is shown that the time-reversal symmetry naturally emerges as a supersymmetry, which changes the parity of the fermion number associated with each time- reversal invariant vortex and connects each vortex with its superpartner.
Inversion-symmetric topological insulators
We analyze translationally invariant insulators with inversion symmetry that fall outside the current established classification of topological insulators. These insulators exhibit no edge or surface…