scholarly journals Elliptic Quantum Billiard

1997 ◽  
Vol 260 (1) ◽  
pp. 50-90 ◽  
Author(s):  
Holger Waalkens ◽  
Jan Wiersig ◽  
Holger R. Dullin
Keyword(s):  
Quantum Billiard ◽  
Elliptic Quantum

Tunneling phenomena in the open elliptic quantum billiard

2012 ◽  
Vol 86 (1) ◽  
Author(s):  
Hipolito Garcia-Gracia ◽  
Julio C. Gutiérrez-Vega
Keyword(s):  
Tunneling Phenomena ◽  
Quantum Billiard ◽  
Elliptic Quantum

scholarly journals Elliptic quantum groups and Baxter relations

2018 ◽  
Vol 12 (3) ◽  
pp. 599-647 ◽  
Author(s):  
Huafeng Zhang
Keyword(s):  
Quantum Groups ◽  
Elliptic Quantum

scholarly journals Investigation of quantum transport and local density of states in a graphene strip connected to a square lattice

2021 ◽  
Author(s):  
Elnaz Rostampour
Keyword(s):  
Quantum Transport ◽  
Dirac Point ◽  
Local Density ◽  
Square Lattice ◽  
Density Of State ◽  
Metallic Lead ◽  
Resonant Tunnelling ◽  
Quantum Billiard ◽  
Plasmon Polaritons ◽  
Theoretical Results

Abstract We theoretically express quantum transport at Dirac points via graphene quantum billiard as a non-magnetic material to connect metallic leads. Our results indicate that the quantum billiard of graphene is similar to a resonant tunnelling device. The centerpiece size and the Fermi energy of the graphene quantum billiard play an important role in the resonant tunnelling. In graphene, change of carrier density can affect plasmon polaritons. At the Dirac point, the conductivity of graphene depends on the geometry, so that the conduction of the evanescent modes is close to the theoretical value of 4e2/πh (where Planck's constant and the electron charge are denoted by h and e, respectively.). This transport property can be used to justify chaotic quantum systems and ballistic transistors. Our theoretical results demonstrate that the local density of state of the graphene sheet for EL = ER = 0 is larger than EL = ER = t (where EL (ER) is onsite energy of the left (right) metallic lead) unlike the current obtained from the calculations.

scholarly journals Quasi-Hopf superalgebras and elliptic quantum supergroups

1999 ◽  
Vol 40 (10) ◽  
pp. 5264-5282 ◽  
Author(s):  
Yao-Zhong Zhang ◽  
Mark D. Gould
Keyword(s):  
Elliptic Quantum
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