scholarly journals Real-space entanglement spectrum of quantum Hall states

2012 ◽  
Vol 85 (12) ◽  
Author(s):  
A. Sterdyniak ◽  
A. Chandran ◽  
N. Regnault ◽  
B. A. Bernevig ◽  
Parsa Bonderson
Keyword(s):  
Quantum Hall ◽  
Real Space ◽  
Entanglement Spectrum ◽  
Quantum Hall States ◽  
Hall States

scholarly journals Fractional charge and inter-Landau–level states at points of singular curvature

2016 ◽  
Vol 113 (31) ◽  
pp. 8636-8641 ◽  
Author(s):  
Rudro R. Biswas ◽  
Dam Thanh Son
Keyword(s):  
Landau Level ◽  
Quantum Hall ◽  
Tight Binding ◽  
Real Space ◽  
Quantum States ◽  
Fractional Charge ◽  
Prevailing Paradigm ◽  
Quantum Hall States ◽  
Bulk Parameters ◽  
Hall States

The quest for universal properties of topological phases is fundamentally important because these signatures are robust to variations in system-specific details. Aspects of the response of quantum Hall states to smooth spatial curvature are well-studied, but challenging to observe experimentally. Here we go beyond this prevailing paradigm and obtain general results for the response of quantum Hall states to points of singular curvature in real space; such points may be readily experimentally actualized. We find, using continuum analytical methods, that the point of curvature binds an excess fractional charge and sequences of quantum states split away, energetically, from the degenerate bulk Landau levels. Importantly, these inter-Landau–level states are bound to the topological singularity and have energies that are universal functions of bulk parameters and the curvature. Our exact diagonalization of lattice tight-binding models on closed manifolds demonstrates that these results continue to hold even when lattice effects are significant. An important technological implication of these results is that these inter-Landau–level states, being both energetically and spatially isolated quantum states, are promising candidates for constructing qubits for quantum computation.

scholarly journals Composite fermion model for entanglement spectrum of fractional quantum Hall states

2015 ◽  
Vol 92 (11) ◽  
Author(s):  
Simon C. Davenport ◽  
Iván D. Rodríguez ◽  
J. K. Slingerland ◽  
Steven H. Simon
Keyword(s):  
Quantum Hall ◽  
Composite Fermion ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Fermion Model ◽  
Entanglement Spectrum ◽  
Quantum Hall States ◽  
Hall States

scholarly journals Fluctuations and entanglement spectrum in quantum Hall states

2014 ◽  
Vol 2014 (10) ◽  
pp. P10005 ◽  
Author(s):  
Alexandru Petrescu ◽  
H Francis Song ◽  
Stephan Rachel ◽  
Zoran Ristivojevic ◽  
Christian Flindt ◽  
...  
Keyword(s):  
Quantum Hall ◽  
Entanglement Spectrum ◽  
Quantum Hall States ◽  
Hall States

scholarly journals Lattice symmetry and emergence of antiferromagnetic quantum Hall states

2021 ◽  
Vol 103 (15) ◽  
Author(s):  
Morad Ebrahimkhas ◽  
Mohsen Hafez-Torbati ◽  
Walter Hofstetter
Keyword(s):  
Quantum Hall ◽  
Quantum Hall States ◽  
Lattice Symmetry ◽  
Hall States

scholarly journals Geometric entanglement in integer quantum Hall states

2021 ◽  
Vol 103 (11) ◽  
Author(s):  
Benoit Sirois ◽  
Lucie Maude Fournier ◽  
Julien Leduc ◽  
William Witczak-Krempa
Keyword(s):  
Quantum Hall ◽  
Quantum Hall States ◽  
Integer Quantum ◽  
Hall States
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