scholarly journals Hartree-Fock study of the ν=0 quantum Hall state of monolayer graphene with short-range interactions

2016 ◽  
Vol 94 (24) ◽  
Author(s):  
Braden Feshami ◽  
H. A. Fertig
Keyword(s):  
Short Range ◽  
Quantum Hall ◽  
Monolayer Graphene ◽  
Hartree Fock ◽  
Quantum Hall State

scholarly journals Chemical potential and quantum Hall ferromagnetism in bilayer graphene

Science ◽  
2014 ◽  
Vol 345 (6192) ◽  
pp. 58-61 ◽  
Author(s):  
Kayoung Lee ◽  
Babak Fallahazad ◽  
Jiamin Xue ◽  
David C. Dillen ◽  
Kyounghwan Kim ◽  
...  
Keyword(s):  
Degrees Of Freedom ◽  
Chemical Potential ◽  
Hexagonal Boron Nitride ◽  
Quantum Hall ◽  
Bilayer Graphene ◽  
Zero Magnetic Field ◽  
High Magnetic Fields ◽  
Complex Interplay ◽  
Electron Hole ◽  
Quantum Hall State

Bilayer graphene has a distinctive electronic structure influenced by a complex interplay between various degrees of freedom. We probed its chemical potential using double bilayer graphene heterostructures, separated by a hexagonal boron nitride dielectric. The chemical potential has a nonlinear carrier density dependence and bears signatures of electron-electron interactions. The data allowed a direct measurement of the electric field–induced bandgap at zero magnetic field, the orbital Landau level (LL) energies, and the broken-symmetry quantum Hall state gaps at high magnetic fields. We observe spin-to-valley polarized transitions for all half-filled LLs, as well as emerging phases at filling factors ν = 0 and ν = ±2. Furthermore, the data reveal interaction-driven negative compressibility and electron-hole asymmetry in N = 0, 1 LLs.

scholarly journals COULOMB GAP IN THE QUANTUM HALL INSULATOR

2001 ◽  
Vol 15 (10n11) ◽  
pp. 1369-1372 ◽  
Author(s):  
MICHAEL BACKHAUS ◽  
BODO HUCKESTEIN
Keyword(s):  
Filling Factor ◽  
Particle Density ◽  
Quantum Hall ◽  
Correct Treatment ◽  
Coulomb Gap ◽  
Hartree Fock ◽  
Strong Disorder ◽  
Single Particle Density ◽  
Lowest Landau Level ◽  
Classical Point

We calculate numerically the spectrum of disordered electrons in the lowest Landau level at filling factor 1/5 using the self-consistent Hartree-Fock approximation for systems containing up to 400 flux quanta. Special attention is paid to the correct treatment of the q=0 component of the Coulomb interaction. For sufficiently strong disorder, the system is an insulator at this filling factor. We observe numerically a Coulomb gap in the single-particle density of states (DOS). The DOS agrees quantitatively with the predictions for classical point charges.

scholarly journals Probing Quantum Hall State Homogeneity with Surface Waves

2013 ◽  
Vol 456 ◽  
pp. 012030 ◽  
Author(s):  
M E Msall ◽  
W Dietsche ◽  
S Schmult ◽  
K von Klitzing
Keyword(s):  
Surface Waves ◽  
Quantum Hall ◽  
Quantum Hall State

scholarly journals A Chern-Simons effective field theory for the Pfaffian quantum Hall state

1998 ◽  
Vol 516 (3) ◽  
pp. 704-718 ◽  
Author(s):  
Eduardo Fradkin ◽  
Chetan Nayak ◽  
Alexei Tsvelik ◽  
Frank Wilczek
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Quantum Hall ◽  
Effective Field ◽  
Chern Simons ◽  
Quantum Hall State

Spin and Charge Density Excitations and the Collapse of the Fractional Quantum Hall State atν=1/3

1997 ◽  
Vol 78 (21) ◽  
pp. 4095-4098 ◽  
Author(s):  
H. D. M. Davies ◽  
J. C. Harris ◽  
J. F. Ryan ◽  
A. J. Turberfield
Keyword(s):  
Charge Density ◽  
Quantum Hall ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Quantum Hall State

scholarly journals Unconventional Anisotropic Even-Denominator Fractional Quantum Hall State in a System with Mass Anisotropy

2018 ◽  
Vol 121 (25) ◽  
Author(s):  
Md. Shafayat Hossain ◽  
Meng K. Ma ◽  
Y. J. Chung ◽  
L. N. Pfeiffer ◽  
K. W. West ◽  
...  
Keyword(s):  
Quantum Hall ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Quantum Hall State
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