scholarly journals Hamiltonian theory of the fractional quantum Hall effect: Effect of Landau level mixing

2002 ◽  
Vol 65 (24) ◽  
Author(s):  
G. Murthy ◽  
R. Shankar
Keyword(s):  
Hall Effect ◽  
Landau Level ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Fractional Quantum Hall Effect ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Hamiltonian Theory ◽  
Landau Level Mixing

scholarly journals Pfaffian paired states for half-integer fractional quantum Hall effect

2020 ◽  
Vol 34 (21) ◽  
pp. 2030004
Author(s):  
M. V. Milovanović ◽  
S. Djurdjević ◽  
J. Vučičević ◽  
L. Antonić
Keyword(s):  
Hall Effect ◽  
Landau Level ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Fractional Quantum Hall Effect ◽  
Fractional Quantum ◽  
Perturbative Approach ◽  
Fractional Quantum Hall ◽  
Half Integer ◽  
Landau Level Mixing

In this review, the physics of Pfaffian paired states, in the context of fractional quantum Hall effect, is discussed using field-theoretical approaches. The Pfaffian states are prime examples of topological ([Formula: see text]-wave) Cooper pairing and are characterized by non-Abelian statistics of their quasiparticles. Here we focus on conditions for their realization and competition among them at half-integer filling factors. Using the Dirac composite fermion description, in the presence of a mass term, we study the influence of Landau level mixing in selecting a particular Pfaffian state. While Pfaffian and anti-Pfaffian are selected when Landau level mixing is not strong, and can be taken into account perturbatively, the particle–hole (PH) Pfaffian state requires non-perturbative inclusion of at least two Landau levels. Our findings, for small Landau level mixing, are in accordance with numerical investigations in the literature, and call for a non-perturbative approach in the search for PH Pfaffian correlations. We demonstrated that a method based on the Chern–Simons field-theoretical approach can be used to generate characteristic interaction pseudo-potentials for Pfaffian paired states.

scholarly journals Fractional Quantum Hall Effect at ν=2+6/13 : The Parton Paradigm for the Second Landau Level

2018 ◽  
Vol 121 (18) ◽  
Author(s):  
Ajit C. Balram ◽  
Sutirtha Mukherjee ◽  
Kwon Park ◽  
Maissam Barkeshli ◽  
Mark S. Rudner ◽  
...  
Keyword(s):  
Hall Effect ◽  
Landau Level ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Fractional Quantum Hall Effect ◽  
Fractional Quantum ◽  
Fractional Quantum Hall

scholarly journals Fractional quantum Hall effect at Landau level fillingν=4/11

2015 ◽  
Vol 91 (4) ◽  
Author(s):  
W. Pan ◽  
K. W. Baldwin ◽  
K. W. West ◽  
L. N. Pfeiffer ◽  
D. C. Tsui
Keyword(s):  
Hall Effect ◽  
Landau Level ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Fractional Quantum Hall Effect ◽  
Fractional Quantum ◽  
Fractional Quantum Hall
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