Charge density wave breakdown in a heterostructure with electron-phonon coupling

Understanding the influence of vibrational degrees freedom on transport through a heterostructure poses considerable theoretical and numerical challenges. In this work, we use density-matrix renormalization group (DMRG) method together with local basis optimization (LBO) to study half-filled Holstein model in presence linear potential, either isolated or coupled tight-binding leads. both cases, observe decay charge-density-wave (CDW) states at sufficiently strong potential strength. Local selects most important combinations oscillator span phonon space. These are referred as optimal modes. We show that many these modes needed capture dynamics decay, significant mode initially occupied sites remains well described by coherent-state typical for small polarons, those empty deviate from form. Additionally, compute current structure metallic regime function voltage. For voltages, reproduce results Luttinger parameters. As voltage is increased, effect larger electron-phonon coupling strengths becomes prominent. Further, almost unchanged when going ground state current-carrying regime.