Dynamics of the inter-Landau-level magnetoplasmon coherence in a quantum Hall system

2005 ◽  
Author(s):  
K.M. Dani ◽  
J. Tignon ◽  
M. Breit ◽  
D.S. Chemla ◽  
E.G. Kavousanaki ◽  
...  
Keyword(s):  
Landau Level ◽  
Quantum Hall ◽  
Quantum Hall System

scholarly journals THE HYDRODYNAMICAL LIMIT OF QUANTUM HALL SYSTEM

2001 ◽  
Vol 15 (19n20) ◽  
pp. 2771-2781 ◽  
Author(s):  
D. SREEDHAR BABU ◽  
R. SHANKAR ◽  
M. SIVAKUMAR
Keyword(s):  
Landau Level ◽  
Small Amplitude ◽  
Quantum Hall ◽  
Collective Excitations ◽  
Current Form ◽  
Long Wavelength ◽  
Lowest Landau Level ◽  
Hydrodynamical Limit ◽  
Quantum Hall System ◽  
A Current

We study the current algebra of FQHE systems in the hydrodynamical limit of small amplitude, long-wavelength fluctuations. We show that the algebra simplifies considerably in this limit. The Hamiltonian is expressed in a current–current form and the operators creating inter-Landau level and lowest Landau level collective excitations are identified.

scholarly journals On the Constraint Equation for the Lowest Landau Level in Fractional Quantum Hall System

1991 ◽  
Vol 05 (10) ◽  
pp. 1715-1724 ◽  
Author(s):  
Dong-Ning Sheng ◽  
Zhao-Bin Su ◽  
B. Sakita
Keyword(s):  
Field Theory ◽  
Landau Level ◽  
Quantum Hall ◽  
Constraint Equation ◽  
Wave Functions ◽  
Generic Properties ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Lowest Landau Level ◽  
Quantum Hall System

In the framework of collective field theory, We apply the Chern-Simon field theory treatment to the constraint equation for the lowest Landau level to investigate the generic properties for the quasi-particles of the FQH system. It shows a transparent connection to the Laughlin's wave functions. If we take an average over the wave functional for the constraint equation, the resulted equation can be interpreted as the vortex equation for the fractionally charged quasi-particles. Introducing a generalized ρ (density)-ϑ (phase) transformation, not only the fractional statistics and the hierarchy scheme can be drawn from the constraint equation, it also gives rise an interesting picture that vortices condense as a Halperin like wave fuction on a Laughlin like background condensate of ν=1/m.

scholarly journals Experimental studies of scaling behavior of a quantum Hall system with a tunable Landau level mixing

2008 ◽  
Vol 78 (23) ◽  
Author(s):  
Y. J. Zhao ◽  
T. Tu ◽  
X. J. Hao ◽  
G. C. Guo ◽  
H. W. Jiang ◽  
...  
Keyword(s):  
Landau Level ◽  
Quantum Hall ◽  
Experimental Studies ◽  
Scaling Behavior ◽  
Quantum Hall System ◽  
Landau Level Mixing

W INFINITE SYMMETRIES IN THE HIERARCHICAL QUASIPARTICLE STATES (LOWEST LANDAU LEVEL STATES) OF THE FRACTIONAL QUANTUM HALL SYSTEMS

1995 ◽  
Vol 09 (02) ◽  
pp. 195-219
Author(s):  
YI-XIN CHEN ◽  
ZHONG-SHUI MA ◽  
ZHAO-BIN SU
Keyword(s):  
Landau Level ◽  
Quantum Hall ◽  
Symmetric Algebra ◽  
Operator Product ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Symmetric Algebras ◽  
Lowest Landau Level ◽  
Quantum Hall System ◽  
Infinite Symmetries

We investigate the W infinite symmetries in the theory of general fractional quantum Hall effects by using the lowest Landau level constraint approach. We find that there does exist a W infinite symmetric algebra for the fractional quantum Hall system with all the quasiparticles being restricted to the lowest Landau level. The corresponding generators can be used to generate the new degenerate wavefunctions of the lowest Landau level states by means of Laughlin and Halperin wavefunctions. Meanwhile, we find there still exists another W infinite symmetric algebra in the system, whose generators are used to generate the degenerate wavefunctions of the lowest Landau level for the anti-quasiparticles. We conclude that the FQH system can effectively be described by quasiparticle features or anti-quasiparticle features. We also show that the local part of the W infinite symmetric algebras is the magnetic translation operator of the general fractional quantum Hall system. We finally construct the operators of the single mode wave density excitations in the system and discuss their operator product relations.

scholarly journals TOPOLOGICAL ENTANGLEMENT ENTROPY IN THE SECOND LANDAU LEVEL

2010 ◽  
Vol 24 (24) ◽  
pp. 4707-4715 ◽  
Author(s):  
B. A. FRIEDMAN ◽  
G. C. LEVINE
Keyword(s):  
Landau Level ◽  
Coulomb Potential ◽  
Ground State ◽  
Entanglement Entropy ◽  
Finite Thickness ◽  
Quantum Hall ◽  
Topological Order ◽  
Quantum Hall System ◽  
Topological Entanglement Entropy ◽  
Area Law

The entanglement entropy of the incompressible states of a realistic quantum Hall system in the second Landau level is studied by direct diagonalization. The subdominant term of the area law, the topological entanglement entropy, which is believed to carry information about topological order in the ground state, was extracted for filling factors ν = 12/5 and ν = 7/3. While it is difficult to make strong conclusions about ν = 12/5, the ν = 7/3 state appears to be very consistent with the topological entanglement entropy for the k = 4 Read–Rezayi state. The effect of finite thickness corrections to the Coulomb potential used in the direct diagonalization is also systematically studied.

VERTEX OPERATORS IN THE QUANTUM HALL EFFECT

1991 ◽  
Vol 05 (03) ◽  
pp. 509-527 ◽  
Author(s):  
MICHAEL STONE
Keyword(s):  
Hall Effect ◽  
Landau Level ◽  
Quantum Hall Effect ◽  
Group Action ◽  
Quantum Hall ◽  
Vertex Operators ◽  
Edge States ◽  
Many Body ◽  
Level I ◽  
The Many

The edge states of the quantum Hall effect carry representations of chiral current algebras and their associated groups. In the simplest case of a single filled Landau level, I demonstrate explicitly how the group action affects the many-body states, and why the Kac-Peterson cocycle appears in the group multiplication law. I show how these representations may be used to construct vertex operators which create localised edge excitations, and indicate how they are related to the bulk quasi-particles.

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