scholarly journals Superconductivity of twisted double bi-layer graphene in chiral model

2021 ◽  
Vol 2056 (1) ◽  
pp. 012002
Author(s):  
Yu P Rybakov ◽  
M Umar

Abstract Taking into account the sp -hybridization effect for valence electrons in carbon atoms, a very simple chiral model of graphene was suggested some years ago [1]. This model used as a special order parameter the unitary SU(2) -matrix U with the kink-like (or domain wall) structure for the description of electrons in a mono-atomic graphene sheet. However, later the new graphene physics began since studying twisted multilayer configurations revealing unconventional superconducting properties (twist-tronics) [2]. Within the scope of the chiral model these twisted configurations can be described by the so-called “product ansatz” U = U1U2 ▪ ▪ ▪ Un . As an example, the special case of twisted double bi-layer graphene (TDBG) configuration is studied and the corresponding twist angles, for which the superconductivity takes place, are found.

2012 ◽  
Vol 190 ◽  
pp. 59-62 ◽  
Author(s):  
Yu.P. Rybakov

The hybridized sp-states of valence electrons in the carbon atom can be describedby SU(2) matrix considered as the order parameter. The chiral model of graphene based onthis order parameter is suggested in the long-wave approximation, the ideal graphene planebeing determined by the kink-like solution. Corrugation of the graphene surface is describedin the form of ripple and rings. The approximate solution corresponding to an infinite carbonnanotube is found.


2018 ◽  
Vol 185 ◽  
pp. 11007 ◽  
Author(s):  
Yu.P. Rybakov

Within the scope of the chiral model of graphene in 8-spinor realization, suggested earlier [1, 2], the combined spinor field Ψ is used as a new order parameter, which contains information on spin and quasispin excitations in graphene (8-spinor part) and also that on sp-hybridization effect of carbon valence electrons [SU(2)-matrix part]. This model admits two kinds of configurations describing, in the long-wave approximation, the graphene mono-atomic plane and the carbon nanotube respectively. The first one is given by the domain-wall (or kink-like) solution and the second one is described by the hedgehog ansatz with large topological charge (winding number n). We consider the infinite carbon nanotube in a static external magnetic field oriented along the tube and analyze the structure of the magnetic intensity on the outside. The diamagnetic behavior of the material is shown by the perturbation method which proves to be self-consistent for n ≫ 1.


2019 ◽  
Vol 3 (8) ◽  
Author(s):  
Alec Jenkins ◽  
Matthew Pelliccione ◽  
Guoqiang Yu ◽  
Xin Ma ◽  
Xiaoqin Li ◽  
...  

1958 ◽  
Vol 29 (3) ◽  
pp. 294-295 ◽  
Author(s):  
E. E. Huber ◽  
D. O. Smith ◽  
J. B. Goodenough

2004 ◽  
Vol 18 (02) ◽  
pp. 241-252 ◽  
Author(s):  
E. J. CALEGARI ◽  
S. G. MAGALHÃES ◽  
A. A. GOMES

In this work the variational Roth's approach previously developed by the present authors to describe cuprate systems is extended to include the superconducting properties. We extend the Beenen and Edwards approach by including the d–p hybridization. The role of the d–p hybridization in modifying the values of superconducting order parameter is then studied in terms of the adopted values of the parameters defining the Hamiltonian of the system.


2015 ◽  
Vol 21 (S3) ◽  
pp. 783-784 ◽  
Author(s):  
A. Bencan ◽  
G. Drazic ◽  
H. Ursic ◽  
N. Sakamoto ◽  
B. Jancar ◽  
...  

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