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Classification of topological insulators and superconductors in three spatial dimensions
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
Topological insulators and superconductors: Tenfold way and dimensional hierarchy
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
Interacting anyons in topological quantum liquids: the golden chain.
Numerical simulations of a chain of Fibonacci anyons show that the model is critical with a dynamical critical exponent z=1, and described by a two-dimensional (2D) conformal field theory with central charge c=7/10.
Sachdev-Ye-Kitaev model and thermalization on the boundary of many-body localized fermionic symmetry-protected topological states
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
Anyonic quantum spin chains: Spin-1 generalizations and topological stability
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
Conformal field theory at central charge c=0 and two-dimensional critical systems with quenched disorder
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
Measurement-induced criticality in random quantum circuits
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
Conformal algebras of two-dimensional disordered systems
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