A wigner function-based quantum ensemble monte carlo study of a resonant tunneling diode

Abstract

Abstract-We present results of resonant tunneling diode operation achieved from a particle-based quantum ensemble Monte Carlo (EMC) simulation that is based on the Wigner distribution function (WDF). Methods of including the Wigner potential into the EMC, to incorporate natural quantum phenomena, via a particle property we call the affinity are discussed. Dissipation is included via normal Monte Carlo procedures and the solution is coupled to a Poisson solver to achieve fully selfconsistent results.

Quantum corrections to semiclassical transport in nanoscale devices using entropy principles

“…Note that the Wigner function in Figure 3 becomes locally negative, indicating that the integral kernel corresponding to the modified collision operator contains negative elements. Therefore, particle based discretizations of the Wigner -Boltzmann equation (7) will exhibit the same difficulties as particle discretizations of the collisionless Wigner equation (see [8]). …”

“…Quite a lot of attention has been paid to the quantum mechanical modeling of free (collisionless) transport. Efforts here include the direct solution of the Schrödinger equation [2], [11], macroscopic moment equations (quantum hydrodynamic models) [9], [10], and extensions of semiclassical Monte Carlo methods, either directly [13], [8] or via effective potential approaches [6], [1], [12]. Comparably little work has been done on the inclusion of quantum effects into collision operators.…”

Coulomb-driven terahertz-frequency intrinsic current oscillations in a double-barrier tunneling structure

“…(1). The method was originally proposed by Shifren and Ferry 20,24,34 and later improved upon by Querlioz and Dollfus 21 . Our approach deviates from that of Querlioz and Dollfus in our treatment of contacts and bias.…”

An efficient numerical scheme for the discrete Wigner transport equation via the momentum domain narrowing

“…Initial applications were made mostly to resonant tunneling diodes (RTDs). [3][4][5][6][7][8][9][10][11] However, its application area has gradually expanded over time to include electronic waveguides, 12 MOSFETs, [13][14][15] and semiconductor nanowires. [16][17][18] Although the non-equilibrium Green function (NEGF) method 4,16,19,20 is usually adopted for dealing with quantum transport problems nowadays, the Wigner function-based model or the Wigner transport equation (WTE) still remains as an attractive alternative in that it adopts a phase-space representation and allows an easy implementation of self-consistency with the Poisson equation.…”