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Topological field theory of time-reversal invariant insulators

- X. Qi, T. Hughes, Shou-Cheng Zhang
- Physics
- 24 February 2008

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… Expand

Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells

- B. Bernevig, T. Hughes, Shou-Cheng Zhang
- Physics, MedicineScience
- 15 November 2006

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… Expand

Electric multipole moments, topological multipole moment pumping, and chiral hinge states in crystalline insulators

- W. Benalcazar, B. Bernevig, T. Hughes
- Physics
- 14 August 2017

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… Expand

Quantization of fractional corner charge in
Cn
-symmetric higher-order topological crystalline insulators

- W. Benalcazar, Tianhe Li, T. Hughes
- PhysicsPhysical Review B
- 6 September 2018

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… Expand

Quantized electric multipole insulators

- W. Benalcazar, B. Bernevig, T. Hughes
- Physics, MedicineScience
- 23 November 2016

TLDR

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

TLDR

The Quantum Spin Hall Effect: Theory and Experiment

- M. Koenig, H. Buhmann, +4 authors Shou-Cheng Zhang
- Physics
- 7 January 2008

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… Expand

Chiral topological superconductor from the quantum Hall state

- X. Qi, T. Hughes, Shou-Cheng Zhang
- Physics
- 29 March 2010

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… Expand

Time-reversal-invariant topological superconductors and superfluids in two and three dimensions.

- X. Qi, T. Hughes, S. Raghu, Shou-Cheng Zhang
- Physics, MedicinePhysical review letters
- 4 May 2009

TLDR

Inversion-symmetric topological insulators

- T. Hughes, E. Prodan, B. Bernevig
- Physics
- 21 October 2010

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… Expand

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