scholarly journals Emergence of liquid crystalline order in the lowest Landau level of a quantum Hall system with internal anisotropy

AIP Advances ◽  
2018 ◽  
Vol 8 (5) ◽  
pp. 055812
Author(s):  
Orion Ciftja
Keyword(s):  
Landau Level ◽  
Liquid Crystalline ◽  
Quantum Hall ◽  
Crystalline Order ◽  
Lowest Landau Level ◽  
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.

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.

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 Observation of Reentrant Integer Quantum Hall States in the Lowest Landau Level

2012 ◽  
Vol 109 (3) ◽  
Author(s):  
Yang Liu ◽  
C. G. Pappas ◽  
M. Shayegan ◽  
L. N. Pfeiffer ◽  
K. W. West ◽  
...  
Keyword(s):  
Landau Level ◽  
Quantum Hall ◽  
Quantum Hall States ◽  
Lowest Landau Level ◽  
Integer Quantum ◽  
Hall States
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