scholarly journals Quartic multifractality and finite-size corrections at the spin quantum Hall transition

2021 ◽  
Vol 103 (23) ◽  
Author(s):  
Martin Puschmann ◽  
Daniel Hernangómez-Pérez ◽  
Bruno Lang ◽  
Soumya Bera ◽  
Ferdinand Evers
Keyword(s):  
Quantum Hall ◽  
Finite Size ◽  
Spin Quantum ◽  
Finite Size Corrections

DISORDERING OF THE CORRELATED STATE OF THE QUANTUM HALL BILAYER AT FILLING FACTOR ν = 1

2012 ◽  
Vol 26 (21) ◽  
pp. 1250134 ◽  
Author(s):  
Z. PAPIĆ ◽  
M. V. MILOVANOVIĆ
Keyword(s):  
Liquid Phase ◽  
Ground State ◽  
Fermi Liquid ◽  
Quantum Hall ◽  
Finite Size ◽  
Critical Distance ◽  
Fermi Liquids ◽  
Direct Transition ◽  
State Changes ◽  
Finite Size Corrections

The phase diagram of a quantum Hall bilayer at total filling ν = 1 contains an incompressible superfluid for small distances d between the layers, as well as the compressible phase corresponding to two uncoupled Fermi liquids for large d. Using exact diagonalization on the sphere and torus geometry, we investigate a long-standing question of the nature of the transition between the two regimes, and the possibility for the existence of a paired phase in the transition region. We find considerable evidence for a direct transition between the superfluid and the Fermi liquid phase, based in particular on the behavior of the ground state energy on the sphere (including appropriate finite-size corrections) as a function of d. At the critical distance dC ≈ 11.6ℓB the topological number ("shift") of the ground state changes, suggesting that tuning the layer separation d in experiment likely leads to a direct transition between the superfluid and the Fermi liquid phase.

scholarly journals Finite-size corrections to the rotating string and the winding state

2008 ◽  
Vol 2008 (08) ◽  
pp. 099-099 ◽  
Author(s):  
Davide Astolfi ◽  
Troels Harmark ◽  
Gianluca Grignani ◽  
Marta Orselli
Keyword(s):  
Finite Size ◽  
Rotating String ◽  
Finite Size Corrections
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