Scattering process without conserving plasmon number in one-dimensional Wigner crystal
Keywords:
one-dimensional Wigner crystal, plasma waves, collision integral, chemical potential
Abstract
In this paper we consider a quantum wire, the electrons in which form a one-dimensional Wigner crystal. One-dimensional electrons in a crystal are equivalent to plasmon modes describing the long-wavelength fluctuations of the charge density. We have studied the basic process of the plasmon scattering that is not conserved the total number of particles, – the scattering of two plasmons in three, and vice versa. For this process, the scattering rate is calculated and an equation for the relaxation of the artificial chemical potential are derived.
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References
D.C. Mattis. The Many-Body Problem: An Encyclopedia of Exactly Solved Models in One Dimension, World Scientific Publishing (1993), 984 p.
B. Sutherland. Beautiful models: 70 years of exactly solved quantum many-body problems, World Scientific Publishing (2004), 400 p.
T. Kinoshita, T. Wenger, D. Weiss. Nature, 440, 900 (2006).
S. Tomonaga. Prog. Theor. Phys., 5, 544 (1950).
J.M. Luttinger. J. Math. Phys., 4, 1154 (1963).
V.V. Deshpande et al. Nature, 464, 209 (2010).
L. Venkataraman, Y.S. Hong, P. Kim, Phys. Rev. Lett., 96, 076601 (2006).
O.M. Auslaender et al. Science, 308, 88 (2005).
Y.-F. Chen et al. Phys. Rev. Lett., 102, 036804 (2009).
G. Barak et al. Nat. Phys., 6, 489 (2010).
G. Granger, J.P. Eisenstein, J.L. Reno. Phys. Rev. Lett., 102, 086803 (2009).
C. Altimiras et al. Nat. Phys., 6, 34 (2010).
K.J. Thomas et al. Phys. Rev. Lett., 77, 135 (1996); Phys. Rev., B58, 4846 (1998).
A. Kristensen et al. Phys. Rev., B62, 10950 (2000).
S.M. Cronenwett et al. Phys. Rev. Lett., 88, 226805 (2002).
D.J. Reilly et al. Phys. Rev., B63, 121311(R) (2001).
R. Crook et al. Science, 312, 1359 (2006).
O. Chiatti et al. Phys. Rev. Lett., 97, 056601 (2006).
N. Wakeham et al. Nat. Commun., 2, 396 (2011).
J. Lin, K.A. Matveev, and M. Pustilnik. Phys. Rev. Lett., 110, 016401 (2013).
H.J. Schulz. Phys. Rev. Lett., 71, 1864 (1993).
K.A. Matveev. Phys. Rev., B70, 245319 (2004).
B. Sutherland. Beautiful models: 70 years of exactly solved quantum many-body problems, World Scientific Publishing (2004), 400 p.
T. Kinoshita, T. Wenger, D. Weiss. Nature, 440, 900 (2006).
S. Tomonaga. Prog. Theor. Phys., 5, 544 (1950).
J.M. Luttinger. J. Math. Phys., 4, 1154 (1963).
V.V. Deshpande et al. Nature, 464, 209 (2010).
L. Venkataraman, Y.S. Hong, P. Kim, Phys. Rev. Lett., 96, 076601 (2006).
O.M. Auslaender et al. Science, 308, 88 (2005).
Y.-F. Chen et al. Phys. Rev. Lett., 102, 036804 (2009).
G. Barak et al. Nat. Phys., 6, 489 (2010).
G. Granger, J.P. Eisenstein, J.L. Reno. Phys. Rev. Lett., 102, 086803 (2009).
C. Altimiras et al. Nat. Phys., 6, 34 (2010).
K.J. Thomas et al. Phys. Rev. Lett., 77, 135 (1996); Phys. Rev., B58, 4846 (1998).
A. Kristensen et al. Phys. Rev., B62, 10950 (2000).
S.M. Cronenwett et al. Phys. Rev. Lett., 88, 226805 (2002).
D.J. Reilly et al. Phys. Rev., B63, 121311(R) (2001).
R. Crook et al. Science, 312, 1359 (2006).
O. Chiatti et al. Phys. Rev. Lett., 97, 056601 (2006).
N. Wakeham et al. Nat. Commun., 2, 396 (2011).
J. Lin, K.A. Matveev, and M. Pustilnik. Phys. Rev. Lett., 110, 016401 (2013).
H.J. Schulz. Phys. Rev. Lett., 71, 1864 (1993).
K.A. Matveev. Phys. Rev., B70, 245319 (2004).
Published
2017-01-03
How to Cite
Apostolov, S. S. (2017). Scattering process without conserving plasmon number in one-dimensional Wigner crystal. Journal of V. N. Karazin Kharkiv National University. Series Physics, 1135(21), 6-9. Retrieved from https://periodicals.karazin.ua/physics/article/view/7806
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