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Classification of topological insulators and superconductors in three spatial dimensions

- A. Schnyder, S. Ryu, A. Furusaki, A. Ludwig
- Physics
- 19 March 2008

We systematically study topological phases of insulators and superconductors (or superfluids) in three spatial dimensions. We find that there exist three-dimensional (3D) topologically nontrivial… Expand

Topological insulators and superconductors: Tenfold way and dimensional hierarchy

- S. Ryu, A. Schnyder, A. Furusaki, A. Ludwig
- Physics
- 11 December 2009

It has recently been shown that in every spatial dimension there exist precisely five distinct classes of topological insulators or superconductors. Within a given class, the different topological… Expand

Interacting anyons in topological quantum liquids: the golden chain.

- A. Feiguin, S. Trebst,
+4 authors M. Freedman - PhysicsPhysical review letters
- 13 December 2006

TLDR

Sachdev-Ye-Kitaev model and thermalization on the boundary of many-body localized fermionic symmetry-protected topological states

- Yi-Zhuang You, A. Ludwig, Cenke Xu
- Physics
- 22 February 2016

The Sachdev-Ye-Kitaev (SYK) model is a quantum mechanical model for randomly interaction fermions in a quantum dot. This paper studies the properties of the many-body spectrum of the SYK model and… Expand

Exact solution of a boundary conformal field theory

- C. Callan, I. Klebanov, A. Ludwig, J. Maldacena
- Mathematics
- 18 February 1994

Anyonic quantum spin chains: Spin-1 generalizations and topological stability

- C. Gils, E. Ardonne,
+4 authors Zhenghan Wang - Physics
- 18 March 2013

There are many interesting parallels between systems of interacting non-Abelian anyons and quantum magnetism occurring in ordinary SU(2) quantum magnets. Here we consider theories of so-called… Expand

Conformal field theory at central charge c=0 and two-dimensional critical systems with quenched disorder

- V. Gurarie, A. Ludwig
- Mathematics
- 9 September 2004

We examine two-dimensional conformal eld theories (CFTs) at central charge c = 0. These arise typically in the description of critical systems with quenched disorder, but also in other contexts… Expand

Measurement-induced criticality in random quantum circuits

- Chao-Ming Jian, Yi-Zhuang You, R. Vasseur, A. Ludwig
- PhysicsPhysical Review B
- 22 August 2019

We investigate the critical behavior of the entanglement transition induced by projective measurements in (Haar) random unitary quantum circuits. Using a replica approach, we map the calculation of… Expand

Conformal algebras of two-dimensional disordered systems

- V. Gurarie, A. Ludwig
- Mathematics
- 24 November 1999

We discuss the structure of two-dimensional conformal field theories at a central charge c = 0 describing critical disordered systems, polymers and percolation. We construct a novel extension of the… Expand

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