scholarly journals Dimensional reduction of the Luttinger Hamiltonian andg-factors of holes in symmetric two-dimensional semiconductor heterostructures

2017 ◽  
Vol 95 (8) ◽  
Author(s):  
D. S. Miserev ◽  
O. P. Sushkov
Keyword(s):  
Dimensional Reduction ◽  
Semiconductor Heterostructures ◽  
Two Dimensional ◽  
Luttinger Hamiltonian

RESONANT SPIN POLARIZATION IN A TWO-DIMENSIONAL HOLE GAS

2011 ◽  
Vol 25 (15) ◽  
pp. 1259-1270
Author(s):  
TIANXING MA
Keyword(s):  
Magnetic Field ◽  
Electric Field ◽  
Spin Polarization ◽  
Zeeman Splitting ◽  
Resonant Peak ◽  
Two Dimensional ◽  
Structural Inversion ◽  
Inversion Asymmetry ◽  
Peak Increase ◽  
Luttinger Hamiltonian

Within the Luttinger Hamiltonian, electric-field-induced resonant spin polarization of a two-dimensional hole gas in a perpendicular magnetic field was studied. The spin polarization arising from splitting between the light and the heavy hole bands shows a resonant peak at a certain magnetic field. Especially, the competition between the Luttinger term and the structural inversion asymmetry leads to a rich resonant peaks structure, and the required magnetic field for the resonance may be effectively reduced by enlarging the effective width of the quantum well. Furthermore, the Zeeman splitting tends to move the resonant spin polarization to a relative high magnetic field and destroy these rich resonant spin phenomena. Finally, both the height and the weight of the resonant peak increase as the temperature decreases. It is believed that such resonant spin phenomena may be verified in the sample of a two-dimensional hole gas, and it may provide an efficient way to control spin polarization by an external electric field.

scholarly journals Dimension and Dimensional Reduction in Quantum Gravity

Universe ◽  
2019 ◽  
Vol 5 (3) ◽  
pp. 83 ◽  
Author(s):  
Steven Carlip
Keyword(s):  
Fixed Point ◽  
Quantum Gravity ◽  
Dimensional Reduction ◽  
Short Distance ◽  
Evidence Based ◽  
Two Dimensional ◽  
Anomalous Scaling ◽  
Lines Of Evidence ◽  
Quantum Spacetime

If gravity is asymptotically safe, operators will exhibit anomalous scaling at the ultraviolet fixed point in a way that makes the theory effectively two-dimensional. A number of independent lines of evidence, based on different approaches to quantization, indicate a similar short-distance dimensional reduction. I will review the evidence for this behavior, emphasizing the physical question of what one means by “dimension” in a quantum spacetime, and will discuss possible mechanisms that could explain the universality of this phenomenon.

scholarly journals AN ALTERNATIVE DIMENSIONAL REDUCTION PRESCRIPTION

1996 ◽  
Vol 11 (13) ◽  
pp. 1037-1045 ◽  
Author(s):  
J.D. EDELSTEIN ◽  
C. NÚÑEZ ◽  
F.A. SCHAPOSNIK ◽  
J.J. GIAMBIAGI
Keyword(s):  
Dimensional Reduction ◽  
Dimensional Space ◽  
Dimensional Case ◽  
Green Functions ◽  
Two Dimensional ◽  
Spatial Coordinate ◽  
Higher Dimensional

We propose an alternative dimensional reduction prescription which in respect with Green functions corresponds to dropping the extra spatial coordinate. From this, we construct the dimensionally reduced Lagrangians both for scalars and fermions, discussing bosonization and supersymmetry in the particular two-dimensional case. We argue that our proposal is in some situations more physical in the sense that it maintains the form of the interactions between particles thus preserving the dynamics corresponding to the higher-dimensional space.

Correction: Electronic-Field Control of Two-Dimensional Electrons in Polymer-Gated-Oxide Semiconductor Heterostructures

2010 ◽  
Vol 22 (14) ◽  
pp. n/a-n/a ◽  
Author(s):  
Masaki Nakano ◽  
Atsushi Tsukazaki ◽  
Akira Ohtomo ◽  
Kazunori Ueno ◽  
Shunsuke Akasaka ◽  
...  
Keyword(s):  
Semiconductor Heterostructures ◽  
Oxide Semiconductor ◽  
Two Dimensional ◽  
Field Control ◽  
Electronic Field

scholarly journals Correction: Electronic-Field Control of Two-Dimensional Electrons in Polymer-Gated-Oxide Semiconductor Heterostructures

2010 ◽  
Vol 22 (45) ◽  
pp. 5081-5081
Author(s):  
Masaki Nakano ◽  
Atsushi Tsukazaki ◽  
Akira Ohtomo ◽  
Kazunori Ueno ◽  
Shunsuke Akasaka ◽  
...  
Keyword(s):  
Semiconductor Heterostructures ◽  
Oxide Semiconductor ◽  
Two Dimensional ◽  
Field Control ◽  
Electronic Field
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