scholarly journals Gauge theory of composite fermions: Particle-flux separation in quantum Hall systems

2003 ◽  
Vol 68 (8) ◽  
Author(s):  
Ikuo Ichinose ◽  
Tetsuo Matsui
Keyword(s):  
Gauge Theory ◽  
Particle Flux ◽  
Quantum Hall ◽  
Composite Fermions ◽  
Quantum Hall Systems

EXPLANATION OF COMPOSITE FERMION STRUCTURE IN FRACTIONAL QUANTUM HALL SYSTEMS

2012 ◽  
Vol 26 (23) ◽  
pp. 1230011 ◽  
Author(s):  
JANUSZ JACAK ◽  
RYSZARD GONCZAREK ◽  
LUCJAN JACAK ◽  
IRENEUSZ JÓŹWIAK
Keyword(s):  
Quantum Hall ◽  
High Mobility ◽  
Flat Band ◽  
Composite Fermions ◽  
Composite Fermion ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Flux Tubes ◽  
Quantum Hall Systems ◽  
Developing Area

The topological explanation of the origin of Laughlin correlations in 2D charged systems under strong magnetic fields is formulated. Formal, self-consistent mathematical model of originally identified cyclotron braid subgroups is given in order to fully describe fundamentals of fractional quantum Hall effect, retrieve Laughlin correlations and point physical conditions which stand behind mysterious composite fermion structure. The new complete implementation of composite fermion basing on the first principles, without involving any artificial constructions (with flux-tubes or vortices) supply an explanation of previous models of composite fermions. Presented approach can lead to some corrections of numerical results in energy minimizations made within the traditional formulation of composite fermion model. Authors also identify the relations of FQHE in cyclotron braid terms within newly developing area of topological insulators and optical lattices. The prerequisites needed for formation of the fractional state are identified beyond the traditionally assumed factors, like the flat band condition and the interaction presence. The role of high mobility of carriers is highlighted in agreement with the experimental observations. Description, in terms of cyclotron braid subgroups, of the nature of yet unexplained novel experiments in Hall 2D systems including graphene is provided as well.

INTERFERENCE AND DECOHERENCE OF COMPOSITE FERMIONS IN THE QUANTUM HALL EFFECT

2002 ◽  
Vol 16 (20n22) ◽  
pp. 2956-2956
Author(s):  
A. STERN
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Coherence Length ◽  
Linear Response ◽  
Quantum Interference ◽  
Quantum Hall ◽  
Composite Fermions ◽  
Coulomb Drag ◽  
Quantum Hall Systems ◽  
Work Done

In this talk I will discuss quantum interference phenomena of composite fermions in quantum Hall systems. In particular, I will focus on huge mesoscopic fluctuations of non-linear response and of Coulomb drag in single and bi-layer systems. Finally, I will give a simple physical picture of dephasing (de-coherence) of composite fermions, with simple expressions for their coherence length. Most of the talk will be based on work done in collaboration with I. Aleiner and B. Narozhny (Stony Brook).

The Spin Excitation Spectrum in Quantum Hall Systems: Insights from Light Scattering Experiments

2007 ◽  
Vol 21 (08n09) ◽  
pp. 1209-1218 ◽  
Author(s):  
YANN GALLAIS ◽  
THOMAS H. KIRSCHENMANN ◽  
JUN YAN ◽  
ARON PINCZUK ◽  
LOREN N. PFEIFFER ◽  
...  
Keyword(s):  
Light Scattering ◽  
Quantum Hall ◽  
Spin Excitation ◽  
Composite Fermions ◽  
Zeeman Energy ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Quantum Hall Systems ◽  
Inelastic Light Scattering ◽  
Spin Excitations

Collective spin excitations in quantum Hall systems are studied via inelastic light scattering. In the fractional quantum Hall effect regime, composite fermion spin excitations are observed in the range 1/3< ν <2/5. They reveal a transition from free to strongly interacting composite fermions. At ν=1, a shift of the spin-wave energy at finite wavevector from the bare Zeeman energy is observed. It allows us to evaluate the spin-stiffness of the quantum Hall ferromagnet.

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