Universal spectrum structure at nonequilibrium critical points in the (1+1)-dimensional directed percolation

TL;DR

This paper demonstrates that the spectrum of transfer matrices at nonequilibrium critical points in (1+1)-dimensional directed percolation exhibits universal, scale-invariant structure, confirmed through advanced tensor network methods.

Contribution

It introduces a tensor renormalization group approach with oblique projectors to analyze the universal spectrum structure at nonequilibrium critical points.

Findings

Spectrum is scale-invariant at critical points

Universal spectrum structure confirmed in directed percolation

Tensor network method effectively captures critical phenomena

Abstract

Using a tensor renormalization group method with oblique projectors for an anisotropic tensor network, we confirm that the rescaled spectrum of transfer matrices at nonequilibrium critical points in the (1+1)-dimensional directed percolation, a canonical model of nonequilibrium critical phenomena, is scale-invariant and its structure is universal.