A density-matrix renormalization group Study of one-dimensional incommensurate quantum Frenkel-Kontorova model

TL;DR

This study uses density-matrix renormalization group techniques to analyze the quantum Frenkel-Kontorova model, focusing on entanglement, ground state energy, and phase transitions between pinned and sliding states.

Contribution

It provides a detailed numerical investigation of quantum phase behavior in the incommensurate Frenkel-Kontorova model using DMRG, highlighting the transition from pinned to sliding states.

Findings

Observed a transition from pinned to sliding state with increased quantum fluctuations

Calculated the energy gap between ground and first excited states

No clear quantum critical point was identified in the data

Abstract

In this paper, the one-dimensional incommensurate quantum Frenkel-Kontorova model is investigate by a density-matrix renormalization group algorithm. Special attention is given to the entanglement and the ground state energy. The energy gap between the ground state and the first excited is also calculated. From all the numerical results, we have observed an obvious property changes from the pinned state to the sliding one as the quantum fluctuation is increased. But no expected quantum critical point can be justified by the present data.