Exploring the Global Solution Space of a Simple Schrodinger-Poisson Problem

被引：0

作者：

Kosik, Robert ^{[1
]}

Cervenka, Johann ^{[1
]}

Waldhoer, Dominic ^{[1
]}

Ribeiro, Felipe ^{[1
]}

Kosina, Hans ^{[1
]}

机构：

[1] TU Wien, Inst Microlectron, Vienna, Austria

来源：

LARGE-SCALE SCIENTIFIC COMPUTATIONS, LSSC 2023 | 2024年 / 13952卷

基金：

奥地利科学基金会;

关键词：

Schrodinger-Poisson; Wigner-Poisson; continuation problem; bifurcation; multiple solutions; resonance;

D O I：

10.1007/978-3-031-56208-2_49

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Quantum electron transport in nanostructures can be described by a coupled Schrodinger-Poisson system. For the simulation of IV-characteristics we need to solve the stationary system self-consistently with the bias as a varying parameter. We use a full Newton method and monitor the number of negative eigenvalues in the Jacobian in order to detect path switching during bias-stepping. Selected simulation examples demonstrate numerically that the solution to the Schrodinger-Poisson model at a fixed bias is in general not unique and the global solution structure of the continuation problem is non-trivial.

引用

页码：472 / 480

页数：9

共 7 条

[1] On the Schrodinger equation with steplike potentials [J].