Supersymmetric associated vector coherent states and generalized Landau levels arising from two-dimensional supersymmetry

2008 ◽  
Vol 49 (3) ◽  
pp. 032110 ◽  
Author(s):  
S. Twareque Ali ◽  
F. Bagarello
Keyword(s):  
Coherent States ◽  
Landau Levels ◽  
Two Dimensional ◽  
Vector Coherent States

scholarly journals LANDAU LEVELS IN A TWO-DIMENSIONAL NONCOMMUTATIVE SPACE: MATRIX AND QUATERNIONIC VECTOR COHERENT STATES

2012 ◽  
Vol 19 (04) ◽  
pp. 1250033 ◽  
Author(s):  
MAHOUTON NORBERT HOUNKONNOU ◽  
ISIAKA AREMUA
Keyword(s):  
Coherent States ◽  
Landau Levels ◽  
Harmonic Potential ◽  
Noncommutative Space ◽  
Two Dimensional ◽  
Space Matrix ◽  
Matrix Vector ◽  
Vector Coherent States

The behavior of an electron in an external uniform electromagnetic background coupled to an harmonic potential, with noncommuting space coordinates, is considered in this work. The thermodynamics of the system is studied. Matrix vector coherent states (MVCS) as well as quaternionic vector coherent states (QVCS), satisfying required properties, are also constructed and discussed.

Matrix vector coherent states for Landau levels

2020 ◽  
Vol 14 (5) ◽  
pp. 237-266
Author(s):  
Isiaka Aremua ◽  
Mahouton Norbert Hounkonnou
Keyword(s):  
Coherent States ◽  
Landau Levels ◽  
Matrix Vector ◽  
Vector Coherent States

Effect of the Dirac-cone tilt on the disorder-broadened Landau levels in a two-dimensional Dirac nodal system

2021 ◽  
Vol 104 (23) ◽  
Author(s):  
Haibo Yao ◽  
Mingfeng Zhu ◽  
Liwei Jiang ◽  
Yisong Zheng
Keyword(s):  
Landau Levels ◽  
Two Dimensional ◽  
Dirac Cone ◽  
Nodal System

scholarly journals Merging of Landau Levels in a Strongly Interacting Two-Dimensional Electron System in Silicon

2014 ◽  
Vol 112 (18) ◽  
Author(s):  
A. A. Shashkin ◽  
V. T. Dolgopolov ◽  
J. W. Clark ◽  
V. R. Shaginyan ◽  
M. V. Zverev ◽  
...  
Keyword(s):  
Electron System ◽  
Landau Levels ◽  
Two Dimensional ◽  
Dimensional Electron ◽  
Strongly Interacting ◽  
Dimensional Electron System

Evidence for a liquid crystal phase transition in two-dimensional electrons in high Landau levels

2002 ◽  
Vol 12 (9) ◽  
pp. 377-380
Author(s):  
K. B. Cooper ◽  
M. P. Lilly ◽  
J. P. Eisenstein ◽  
L. N. Pfeiffer ◽  
K. W. West
Keyword(s):  
Phase Transition ◽  
Liquid Crystal ◽  
Landau Levels ◽  
Crystal Phase ◽  
Two Dimensional ◽  
Liquid Crystal Phase ◽  
Stripe Phase ◽  
Stripe Order ◽  
Crystal Phase Transition ◽  
Liquid Crystal Phase Transition

Transport measurements of high-mohility two-dimensional electron systems at low temperatures have revealed a large resistance anisotropy around half-filling of excited Landau levels. These results have been attributed to electronic stripe-phase formation with spontaneously broken orientational symmetry. Mechanisms which are known to break the orientational symmetry include poorly-understood crystal structure effects and an in-plane magnetic field, $B_{||}$. Here we report that a large $B_{||}$ also causes the transport anisotropy to persist up to much higher temperatures. In this regime, we find that the anisotropic resistance scales sublinearly with $B_{||}/T$. These observations support the proposal that the transition from anisotropic to isotropic transport reflects a liquid crystal phase transition where local stripe order persists even in the isotropic regime.

PARASUPERSYMMETRIC COHERENT STATES FOR LANDAU LEVELS WITH DYNAMICAL SYMMETRY GROUP H4

2002 ◽  
Vol 17 (28) ◽  
pp. 4081-4093 ◽  
Author(s):  
H. FAKHRI ◽  
H. MOTAVALI
Keyword(s):  
Magnetic Field ◽  
Symmetry Group ◽  
Coherent States ◽  
Ad Hoc ◽  
Flat Surface ◽  
Arbitrary Order ◽  
Dynamical Symmetry ◽  
Quantum States ◽  
Landau Levels ◽  
Lowering Operator

The eigenstates and their degeneracy for parasupersymmetric Hamiltonian of arbitrary order p, corresponding to the motion of a charged particle with spin [Formula: see text] on the flat surface in the presence of a constant magnetic field along z-axis, are calculated. The eigenstates are expressed in terms of Landau levels quantum states with dynamical symmetry group H4. Furthermore, parasupersymmetric coherent states with multiplicity degeneracy are derived for an ad hoc lowering operator of the eigenstates in terms of ordinary coherent states of Landau Hamiltonian.

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