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Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates

- X. Wan, A. Turner, A. Vishwanath, S. Savrasov
- Physics
- 2 May 2011

We investigate novel phases that emerge from the interplay of electron correlations and strong spin-orbit interactions. We focus on describing the topological semimetal, a three-dimensional phase of… Expand

Entanglement spectrum of a topological phase in one dimension

- F. Pollmann, E. Berg, A. Turner, M. Oshikawa
- Physics
- 9 October 2009

We show that the Haldane phase of S=1 chains is characterized by a double degeneracy of the entanglement spectrum. The degeneracy is protected by a set of symmetries (either the dihedral group of… Expand

Quasiparticle statistics and braiding from ground state entanglement

- Yi Zhang, T. Grover, A. Turner, M. Oshikawa, A. Vishwanath
- Physics
- 9 November 2011

Topologically ordered phases are gapped states, defined by the properties of excitations when taken around one another. Here we demonstrate a method to extract the statistics and braiding of… Expand

Symmetry protection of topological phases in one-dimensional quantum spin systems

- F. Pollmann, E. Berg, A. Turner, M. Oshikawa
- Physics
- 22 September 2009

We discuss the characterization and stability of the Haldane phase in integer spin chains on the basis of simple, physical arguments. We find that an odd-S Haldane phase is a topologically nontrivial… Expand

Topological mechanics of gyroscopic metamaterials

- Lisa M. Nash, D. Kleckner, Alismari Read, V. Vitelli, A. Turner, W. Irvine
- PhysicsProceedings of the National Academy of Sciences
- 13 April 2015

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Entanglement Entropy of Gapped Phases and Topological Order in Three dimensions

- T. Grover, A. Turner, A. Vishwanath
- Physics
- 19 August 2011

We discuss entanglement entropy of gapped ground states in different dimensions, obtained on partitioning space into two regions. For trivial phases without topological order, we argue that the… Expand

Detection of symmetry-protected topological phases in one dimension

- F. Pollmann, A. Turner
- Mathematics
- 3 April 2012

A topological phase is a phase of matter which cannot be characterized by a local order parameter. It has been shown that gapped symmetric phases in one-dimensional (1D) systems can be completely… Expand

Quantized response and topology of magnetic insulators with inversion symmetry

- A. Turner, Yi Zhang, R. Mong, A. Vishwanath
- Physics
- 20 October 2010

We study three-dimensional insulators with inversion symmetry in which other point group symmetries, such as time reversal, are generically absent. We find that certain information about such… Expand

Topological Phases of One-Dimensional Fermions: An Entanglement Point of View

- A. Turner, F. Pollmann, E. Berg
- Physics
- 25 August 2010

The effect of interactions on topological insulators and superconductors remains, to a large extent, an open problem. Here, we describe a framework for classifying phases of one-dimensional… Expand

Beyond Band Insulators: Topology of Semi-metals and Interacting Phases

- A. Turner, A. Vishwanath
- Physics
- 2 January 2013

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