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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

Boundary conformal field theory approach to the critical two-dimensional Ising model with a defect line

- M. Oshikawa, I. Affleck
- Physics
- 20 December 1996

Absence of Quantum Time Crystals.

- Haruki Watanabe, M. Oshikawa
- PhysicsPhysical review letters
- 8 October 2014

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Boundary critical phenomena in the three-state Potts model

- I. Affleck, M. Oshikawa, H. Saleur
- Physics
- 9 April 1998

Boundary critical phenomena are studied in the three-state Potts model in two dimensions using conformal field theory, duality and renormalization group methods. A presumably complete set of boundary… Expand

Magnetization Plateaus in Spin Chains: “Haldane Gap” for Half-Integer Spins

- M. Oshikawa, M. Yamanaka, I. Affleck
- Physics
- 23 October 1996

We discuss zero-temperature quantum spin chains in a uniform magnetic field, with axial symmetry. For integer or half-integer spin, $S$, the magnetization curve can have plateaus and we argue that… Expand

Inequivalent Berry Phases for the Bulk Polarization

- Haruki Watanabe, M. Oshikawa
- PhysicsPhysical Review X
- 1 February 2018

We address the widespread confusion in characterizing the polarization for insulators under the periodic boundary condition in terms of the Berry phase. The Berry phase can be formulated in terms of… Expand

Generalized Boundary Condition Applied to Lieb-Schultz-Mattis-Type Ingappabilities and Many-Body Chern Numbers

- Yuan Yao, M. Oshikawa
- Mathematics
- 27 June 2019

We introduce a new boundary condition which renders the flux-insertion argument for the Lieb-Schultz-Mattis type theorems in two or higher dimensions free from the specific choice of system sizes. It… Expand

Bose-Einstein condensation of dilute magnons in TlCuCl3.

- T. Nikuni, M. Oshikawa, A. Oosawa, H. Tanaka
- PhysicsPhysical review letters
- 9 August 1999

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