Can I read A many-body Fredholm index for ground state spaces and Abelian anyons on EtoBox?

A many-body Fredholm index for ground state spaces and Abelian anyons by Bachmann, Sven; Bols, Alex; De Roeck, Wojciech; Fraas, Martin is a scholarly article available to read on EtoBox.

What is A many-body Fredholm index for ground state spaces and Abelian anyons about?

We propose a many-body index that extends Fredholm index theory to many-body systems. The index is defined for any charge-conserving system with a topologically ordered $p$-dimensional ground state sector. The index is fractional with the denominator given by $p$. In particular, this yields a new short proof of the quantization of the Hall conductance and of Lieb-Schulz-Mattis theorem. In the case that the index is non-integer, the argument provides an explicit construction of Wilson loop operators exhibiting a non-trivial braiding and that can be used to create fractionally charged Abelian anyons.

Author

Bachmann, Sven; Bols, Alex; De Roeck, Wojciech; Fraas, Martin

Published

2019

Language

EN