scholarly journals Effects of long-range correlated disorder on Dirac fermions in graphene

2007 ◽  
Vol 75 (24) ◽  
Author(s):  
D. V. Khveshchenko
Keyword(s):  
Long Range ◽  
Dirac Fermions

scholarly journals Two-dimensional Dirac fermions in the presence of long-range correlated disorder

2012 ◽  
Vol 85 (12) ◽  
Author(s):  
Andrei A. Fedorenko ◽  
David Carpentier ◽  
Edmond Orignac
Keyword(s):  
Long Range ◽  
Dirac Fermions ◽  
Two Dimensional

scholarly journals Directional massless Dirac fermions in a layered van der Waals material with one-dimensional long-range order

2019 ◽  
Vol 19 (1) ◽  
pp. 27-33
Author(s):  
T. Y. Yang ◽  
Q. Wan ◽  
D. Y. Yan ◽  
Z. Zhu ◽  
Z. W. Wang ◽  
...  
Keyword(s):  
Long Range ◽  
Van Der Waals ◽  
Range Order ◽  
Long Range Order ◽  
Dirac Fermions ◽  
One Dimensional

scholarly journals Universal Fermi-surface anisotropy renormalization for interacting Dirac fermions with long-range interactions

2019 ◽  
Vol 116 (52) ◽  
pp. 26431-26434 ◽  
Author(s):  
Jia Ning Leaw ◽  
Ho-Kin Tang ◽  
Maxim Trushin ◽  
Fakher F. Assaad ◽  
Shaffique Adam
Keyword(s):  
Fermi Surface ◽  
Long Range ◽  
Quantum Monte Carlo ◽  
Fermi Liquid ◽  
Dirac Fermion ◽  
Magic Angle ◽  
Dirac Fermions ◽  
Surface Anisotropy ◽  
Coulomb Interactions ◽  
Fermi Surface Anisotropy

Recent experimental [I. Joet al.,Phys. Rev. Lett.119, 016402 (2017)] and numerical [M. Ippoliti, S. D. Geraedts, R. N. Bhatt,Phys. Rev. B95, 201104 (2017)] evidence suggests an intriguing universal relationship between the Fermi surface anisotropy of the noninteracting parent 2-dimensional (2D) electron gas and the strongly correlated composite Fermi liquid formed in a strong magnetic field close to half-filling. Inspired by these observations, we explore more generally the question of anisotropy renormalization in interacting 2D Fermi systems. Using a recently developed [H. -K. Tanget al.,Science361, 570 (2018)] nonperturbative and numerically exact projective quantum Monte Carlo simulation as well as other numerical and analytic techniques, only for Dirac fermions with long-range Coulomb interactions do we find a universal square-root decrease of the Fermi-surface anisotropy. For theν=1/2composite Fermi liquid, this result is surprising since a Dirac fermion ground state was only recently proposed as an alternative to the usual Halperin–Lee–Read state. Our proposed universality can be tested in several anisotropic Dirac materials including graphene, topological insulators, organic conductors, and magic-angle twisted bilayer graphene.

scholarly journals Planar Dirac fermions in long-range-correlated random vector potential

2003 ◽  
Vol 309 (5-6) ◽  
pp. 363-370 ◽  
Author(s):  
D.V. Khveshchenko ◽  
A.G. Yashenkin
Keyword(s):  
Long Range ◽  
Random Vector ◽  
Vector Potential ◽  
Dirac Fermions
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