Wigner quantum mechanics is reformulated in a discrete momentum space and analyzed within a Monte Carlo approach for solving integral equations and thus associated with a particle picture. General quantum phenomena may thereby be modeled in terms of quasi-particles involving attributes such as drift, generation, sign, and annihilation on a phase space grid. The model is examined in an ultimate regime, where classical and quantum dynamics become equivalent. The peculiarities of the transport in this asymptotic regime are analyzed within simulations, benchmarking the behavior of the Wigner function.
REFERENCES
1.
M.
Nedjalkov
, S.
Selberherr
, D. K.
Ferry
, D.
Vasileska
, P.
Dollfus
, D.
Querlioz
, I.
Dimov
, and P.
Schwaha
, Ann. Phys.
328
, 220
–237
(2013
).2.
V. I.
Tatarskii
, Sov. Phys. Usp.
26
, 311
–327
(1983
).3.
N. C.
Dias
and J. N.
Prata
, Ann. Phys.
313
, 110
–146
(2004
).4.
K. L.
Jensen
and F. A.
Buot
, Appl. Phys. Lett.
55
, 669
–671
(1989
) and the references therein.5.
J.
Garcia-Garcia
, F.
Martin
, X.
Oriols
, and J.
Sune
, Appl. Phys. Lett.
73
, 3539
–3541
(1998
).6.
J.
Garcia-Garcia
and F.
Martin
, Appl. Phys. Lett.
77
, 3412
–3514
(2000
).7.
W. R.
Frensley
, Rev. Mod. Phys.
62
, 745
–789
(1990
).8.
N. C.
Kluksdahl
, A. M.
Kriman
, D. K.
Ferry
, and C.
Ringhofer
, Phys. Rev. B
39
, 7720
–7734
(1989
).9.
D.
Querlioz
and P.
Dollfus
, The Wigner Monte Carlo Method for Nanoelectronic Devices
(ISTE-Wiley
, 2010
).10.
M.
Nedjalkov
, H.
Kosina
, S.
Selberherr
, C.
Ringhofer
, and D. K.
Ferry
, Phys. Rev. B
70
, 115319
(2004
).11.
M.
Nedjalkov
and D.
Vasileska
, J. Comput. Electron.
7
, 222
–225
(2008
).12.
F.
Rossi
, A.
Di Carlo
, and P.
Lugli
, Phys. Rev. Lett.
80
, 3348
–3351
(1998
).13.
G.
Ferrari
, P.
Bordone
, and C.
Jacoboni
, Phys. Lett. A
356
, 371
–375
(2006
).14.
T.
Goudon
, SIAM J. Numer. Anal.
40
, 2007
–2025
(2002
).15.
G.
Zandler
, A.
Di Carlo
, K.
Krometer
, P.
Lugli
, P.
Vogl
, and E.
Gornik
, IEEE Electron Device Lett.
14
, 77
–79
(1993
).© 2013 AIP Publishing LLC.
2013
AIP Publishing LLC
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