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Publications Influence

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

- B. Bernevig, T. Hughes, S. Zhang
- Physics, Medicine
- Science
- 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

3,248 73- PDF

Topological field theory of time-reversal invariant insulators

- Xiao-Liang Qi, T. Hughes, S. 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

1,654 56- PDF

Quantized electric multipole insulators

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

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

521 26- PDF

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

387 11- PDF

Chiral topological superconductor from the quantum Hall state

- Xiao-Liang Qi, T. Hughes, S. 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

210 8- PDF

Quantum spin Hall effect in inverted type-II semiconductors.

- C. Liu, T. Hughes, Xiao-liang Qi, K. Wang, S. Zhang
- Physics, Medicine
- Physical review letters
- 18 January 2008

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 gapless… Expand

406 7- PDF

The Quantum Spin Hall Effect: Theory and Experiment

- M. Koenig, H. Buhmann, +4 authors S. 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

421 7- PDF

Quantization of Fractional Corner Charge in C n -symmetric Topological Crystalline Insulators

- W. Benalcazar, T. Li, T. Hughes
- Physics
- 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

88 6- PDF

Topological invariants for the Fermi surface of a time-reversal-invariant superconductor

- Xiao-Liang Qi, T. Hughes, S. Zhang
- Physics
- 5 April 2010

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 in… Expand

146 5

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

- Xiao-liang Qi, T. Hughes, S. Raghu, S. Zhang
- Physics, Medicine
- Physical review letters
- 4 May 2009

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 Majorana… Expand

365 4