Entanglement and quantum phase transition in the asymmetric Hubbard chain: density-matrix renormalization group calculations

TL;DR

This paper investigates quantum phase transitions in an asymmetric Hubbard chain using entanglement measures and DMRG, revealing critical behavior and scaling near the transition point.

Contribution

It introduces entanglement analysis combined with DMRG to characterize phase transitions in the asymmetric Hubbard model.

Findings

Entanglement exhibits singular behavior at the phase transition.

Scaling behavior of entanglement is observed near the critical point.

Local and block entanglement measures effectively detect phase transitions.

Abstract

We study the ground state quantum phase transition by means of entanglement in the one-dimensional asymmetric Hubbard model with open boundary condition. The local entanglement between the middle two sites and the rest of the system, and the block entanglement between the left and right portions of the system, are calculated using the density-matrix renormalization group (DMRG) method. We find that the entanglement shows interesting scaling and singular behavior around the phase transition line.