Entanglement renormalization and boundary critical phenomena

TL;DR

This paper applies the multiscale entanglement renormalization ansatz to analyze boundary critical phenomena, revealing exact relations between bulk and boundary critical exponents and computing local operator averages near boundaries.

Contribution

It demonstrates how the multiscale entanglement renormalization ansatz can be used to study boundary critical phenomena and derive exact relations between critical exponents.

Findings

Computed local operator averages as a function of distance from the boundary

Derived an exact relation between bulk and boundary critical exponents

Quantified the surface contribution to ground state energy

Abstract

The multiscale entanglement renormalization ansatz is applied to the study of boundary critical phenomena. We compute averages of local operators as a function of the distance from the boundary and the surface contribution to the ground state energy. Furthermore, assuming a uniform tensor structure, we show that the multiscale entanglement renormalization ansatz implies an exact relation between bulk and boundary critical exponents known to exist for boundary critical systems.