Mr. Candong Cheng Profile

Candong Cheng

at Duke Univ

SPIE Involvement:

Author

Publications (1)

This will count as one of your downloads.

You will have access to both the presentation and article (if available).

DOWNLOAD NOW

This content is available for download via your institution's subscription. To access this item, please sign in to your personal account.

Email or Username Forgot your username?

Password Forgot your password?

Show

Keep me signed in

No SPIE account? Create an account

Proceedings Article | 7 February 2007 Paper

Solution of the 3D Schrödinger equation with tensor effective mass based on perfectly matched layer and spectral element methods

Candong Cheng, Joonho Lee, Kim Hwa Lim, Hisham Massoud, Qing Huo Liu

Proceedings Volume 6468, 64681F (2007) https://doi.org/10.1117/12.696730

KEYWORDS: Electrons, Chemical elements, Interfaces, Scanning electron microscopy, Lead, Waveguides, Carbon nanotubes, Waveguide modes, Semiconductors, Quantum dots

Read Abstract +

A simple and systematic algorithm based on the perfectly matched layer (PML) method and spectral element method (SEM) is introduced to solve the 3-D Schrodinger equation with tensor effective mass. This algorithm extends the lead regions of a device into artificial PML media, where a modified Schrodinger equation is satisfied. The interface between the physical and PML media has zero reflection coefficients, thus waves attenuating rapidly into the PML region before transmitting to the contact boundary. This algorithm provides a highly effective open boundary condition in solving quantum transport problems. The additional PML region can be designed such that less than -100 dB incoming waves are reflected by this artificial material with the implementation of the spectral element method. Consequently, the solution of the Schrodinger equation and thus the current in the original device region do not deviate from the correct solution. In this algorithm, the transmitted wave function is treated as a total wave instead of being decomposed into waveguide modes, therefore, it significantly simplifies the problem in comparison with conventional open boundary conditions. The implementation of the tensor effective mass provides an excellent tool to study strain effects along any arbitrary orientation. Within this PML implementation, the spectral element method has been applied to achieve an error that exponentially decreases with the increase of the polynomial order and sampling points. This accuracy has been demonstrated by comparing the numerical and analytical results from waveguide examples, and its utility is illustrated by multiple-port devices and nanotube devices.

My Library

You currently do not have any folders to save your paper to! Create a new folder below.

Folder Name

Folder Description

View contact details

UPDATE YOUR PROFILE

Is this your profile? Update it now.

Sign into your SPIE.org account

Don’t have a profile and want one?

Create an account on SPIE.org

Access to the requested content is limited to institutions that have purchased or subscribe to SPIE eBooks. You are receiving this notice because your organization may not have SPIE eBooks access.*

*Shibboleth/Open Athens users─please sign in to access your institution's subscriptions.

To obtain this item, you may purchase the complete book in print or electronic format on SPIE.org.

ORGANIZATIONAL
Sign in with credentials provided by your organization.

Organizational Username

Organizational Password

Show/Hide Password

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available

Members:

Non-members: ADD TO CART

Keywords/Phrases

Search In:

Publication Years