2008/05/31 by Shunsuke Kirino, Tatsuya Fujii, Jize Zhao +1 · 1 citation
Engineering · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Biasing #Condensed matter physics #Density matrix renormalization group #Physics #Quantum #Quantum and electron transport phenomena #Quantum dot #Quantum mechanics #Semiconductor materials and devices #Voltage #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1143/jpsj.77.084704
arxiv created 2008/07/10 · openalex publication_date 2008/07/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Resonant tunneling through quantum dot under a finite bias voltage at zero temperature is investigated by using the adaptive time-dependent density matrix renormalization group(TdDMRG) method. Quantum dot is modeled by the Anderson Hamiltonian with the 1-D nearest-neighbor tight-binding leads. Initially the ground state wave function is calculated with the usual DMRG method. Then the time evolution of the wave function due to the slowly changing bias voltage between the two leads is calculated by using the TdDMRG technique. Even though the system size is finite, the expectation values of current operator show steady-like behavior for a finite time interval, in which the system is expected to resemble the real nonequilibrium steady state of the infinitely long system. We show that from the time intervals one can obtain quantitatively correct results for differential conductance in a wide range of bias voltage. Finally we observe an anomalous behavior in the expectation value of the double occupation operator at the dot <n\uparrow n\downarrow> as a function of bias voltage.