Comment on ``Ground State Phase Diagram of a Half-Filled One-Dimensional Extended Hubbard Model''

TL;DR

This paper provides high-precision quantum Monte Carlo evidence confirming that the bond-order-wave (BOW) phase in the 1D extended Hubbard model exists over a finite region, not just on a phase boundary, clarifying its phase diagram.

Contribution

The study offers more accurate quantum Monte Carlo results demonstrating the finite extent of the BOW phase in the phase diagram, challenging previous claims.

Findings

BOW phase exists over a finite region in the phase diagram.

Quantum Monte Carlo results are more precise and for larger systems.

Confirms BOW phase is separated from phase boundary by a transition curve.

Abstract

In Phys. Rev. Lett. 89, 236401 (2002), Jeckelmann argued that the recently discovered bond-order-wave (BOW) phase of the 1D extended Hubbard model does not have a finite extent in the (U,V) plane, but exists only on a segment of a first-order SDW-CDW phase boundary. We here present quantum Monte Carlo result of higher precision and for larger system sizes than previously and reconfirm that the BOW phase does exist a finite distance away from the phase boundary, which hence is a BOW-CDW transition curve.