کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6932298 | 867728 | 2014 | 24 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Perfectly Matched Layers versus discrete transparent boundary conditions in quantum device simulations
ترجمه فارسی عنوان
لایه های کاملا سازگار در مقابل شرایط مرزی شفاف مجزا در شبیه سازی دستگاه های کوانتومی
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
چکیده انگلیسی
Discrete transparent boundary conditions (DTBC) and the Perfectly Matched Layers (PML) method for the realization of open boundary conditions in quantum device simulations are compared, based on the stationary and time-dependent Schrödinger equation. The comparison includes scattering state, wave packet, and transient scattering state simulations in one and two space dimensions. The Schrödinger equation is discretized by a second-order Crank-Nicolson method in case of DTBC. For the discretization with PML, symmetric second-, fourth-, and sixth-order spatial approximations as well as Crank-Nicolson and classical Runge-Kutta time-integration methods are employed. In two space dimensions, a ring-shaped quantum waveguide device is simulated in the stationary and transient regime. As an application, a simulation of the Aharonov-Bohm effect in this device is performed, showing the excitation of bound states localized in the ring region. The numerical experiments show that the results obtained from PML are comparable to those obtained using DTBC, while keeping the high numerical efficiency and flexibility as well as the ease of implementation of the former method.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 275, 15 October 2014, Pages 1-24
Journal: Journal of Computational Physics - Volume 275, 15 October 2014, Pages 1-24
نویسندگان
Jan-Frederik Mennemann, Ansgar Jüngel,