Table of Contents
VLSI Design
Volume 3, Issue 2, Pages 201-210
http://dx.doi.org/10.1155/1995/54301

Resonant Tunneling in the Quantum Hydrodynamic Model

Department of Computer Science and Department of Mathematics, Duke University, Durham 27708-0129, NC, USA

Received 1 December 1993

Copyright © 1995 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [19 citations]

The following is the list of published articles that have cited the current article.

  • Aartee Sharma, N. Yadav, S. Ghosh, Aartee Sharma, N. Yadav, and S. Ghosh, “Modified transverse phonon-helicon interaction in colloids laden semiconductor plasmas due to Bohm potential and Fermi degenerate pressure,” vol. 1670, pp. 030025, . View at Publisher · View at Google Scholar
  • M.G. Ancona, Z. Yu, W.-C. Lee, R.W. Dutton, and P.V. Voorde, “Density-gradient simulations of quantum effects in ultra-thin-oxide MOS structures,” SISPAD '97. 1997 International Conference on Simulation of Semiconductor Processes and Devices. Technical Digest, pp. 97–100, . View at Publisher · View at Google Scholar
  • Z. Chen, “A finite element method for the quantum hydrodynamic model for semiconductor devices,” Computers and Mathematics with Applications, vol. 31, no. 7, pp. 17–26, 1996. View at Publisher · View at Google Scholar
  • Christopher M. Snowden, and D. Paul Steenson, “Circuits and simulations at 1 THz,” Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 354, no. 1717, pp. 2435–2446, 1996. View at Publisher · View at Google Scholar
  • Cl Gardner, “Theory and simulation of the smooth quantum hydrodynamic model,” Vlsi Design, vol. 9, no. 4, pp. 351–355, 1999. View at Publisher · View at Google Scholar
  • Y Wanlass, “Broadening the concept of learning and school competence,” Elementary School Journal, vol. 100, no. 5, pp. 513–527, 2000. View at Publisher · View at Google Scholar
  • Carl L. Gardner, and Christian Ringhofer, “Numerical simulation of the smooth quantum hydrodynamic model for semiconductor devices,” Computer Methods in Applied Mechanics and Engineering, vol. 181, no. 4, pp. 393–401, 2000. View at Publisher · View at Google Scholar
  • Cl Gardner, and C Ringhofer, “The Chapman-Enskog expansion and the quantum hydrodynamic model for semiconductor devices,” Vlsi Design, vol. 10, no. 4, pp. 415–435, 2000. View at Publisher · View at Google Scholar
  • Christian Ringhofer, Carl Gardner, and Dragica Vasileska, “Effective Potentials And Quantum Fluid Models: A Thermodynamic Approach,” International Journal of High Speed Electronics and Systems, vol. 13, no. 03, pp. 771–801, 2003. View at Publisher · View at Google Scholar
  • J. Hontschel, R. Stenzel, and W. Klix, “Simulation of quantum transport in monolithic ICs based on In/sub 0.53/Ga/sub 0.47/As-In/sub 0.52/Al/sub 0.48/As RTDs and HEMTs with a quantum hydrodynamic transport model,” IEEE Transactions on Electron Devices, vol. 51, no. 5, pp. 684–692, 2004. View at Publisher · View at Google Scholar
  • C Ringhofer, and Cl Gardner, “Dispersive/hyperbolic hydrodynamic models for quantum transport (in semicon ductor devices),” Dispersive Transport Equations And Multiscale Models, vol. 136, pp. 91–106, 2004. View at Publisher · View at Google Scholar
  • F. Haas, “A magnetohydrodynamic model for quantum plasmas,” Physics of Plasmas, vol. 12, no. 6, pp. 1–9, 2005. View at Publisher · View at Google Scholar
  • Ansgar Jüngel, and Shaoqiang Tang, “Numerical approximation of the viscous quantum hydrodynamic model for semiconductors,” Applied Numerical Mathematics, vol. 56, no. 7, pp. 899–915, 2006. View at Publisher · View at Google Scholar
  • Ansgar Jüngel, Daniel Matthes, and Josipa Pina Milišic, “Derivation of New Quantum Hydrodynamic Equations Using Entropy Minimization,” SIAM Journal on Applied Mathematics, vol. 67, no. 1, pp. 46–68, 2006. View at Publisher · View at Google Scholar
  • Hu Xin, and Tang Shao-Qiang, “Transient and Stationary Simulations for a Quantum Hydrodynamic Model,” Chinese Physics Letters, vol. 24, no. 6, pp. 1437–1440, 2007. View at Publisher · View at Google Scholar
  • S Ali, Nitin Shukla, and P. K Shukla, “Instability of drift-like waves and cross-field charged particle transport in a nonuniform collisional quantum magnetoplasma,” Europhysics Letters (EPL), vol. 78, no. 4, pp. 45001, 2007. View at Publisher · View at Google Scholar
  • Samy Gallego, Florian Méhats, and Pierre Degond, “On quantum hydrodynamic and quantum energy transport models,” Communications in Mathematical Sciences, vol. 5, no. 4, pp. 887–908, 2007. View at Publisher · View at Google Scholar
  • Ansgar Jüngel, “Quantum hydrodynamic equations,” Lecture Notes in Physics, vol. 773, pp. 283–308, 2009. View at Publisher · View at Google Scholar
  • Dirk Schulz, and Azhar Mahmood, “Approximation of a Phase Space Operator for the Numerical Solution of the Wigner Equation,” Ieee Journal Of Quantum Electronics, vol. 52, no. 2, 2016. View at Publisher · View at Google Scholar