Kernel polynomial method as an efficient O(N2) scheme for optical spectra calculations including electron-hole interaction

2013 ◽  
Vol 251 (3) ◽  
pp. 628-632 ◽  
Author(s):  
A. B. Gordienko ◽  
S. I. Filippov
Keyword(s):  
Optical Spectra ◽  
Polynomial Method ◽  
Electron Hole ◽  
Kernel Polynomial Method ◽  
Hole Interaction

scholarly journals Optical response and band structure of LiCoO2 including electron-hole interaction effects

2021 ◽  
Vol 104 (11) ◽  
Author(s):  
Santosh Kumar Radha ◽  
Walter R. L. Lambrecht ◽  
Brian Cunningham ◽  
Myrta Grüning ◽  
Dimitar Pashov ◽  
...  
Keyword(s):  
Band Structure ◽  
Optical Response ◽  
Interaction Effects ◽  
Electron Hole ◽  
Hole Interaction

scholarly journals Electronic Properties of Twisted Bilayer Graphene in the Presence of a Magnetic Field

2020 ◽  
Vol 233 ◽  
pp. 03004
Author(s):  
M.F.C. Martins Quintela ◽  
J.C.C. Guerra ◽  
S.M. João
Keyword(s):  
Magnetic Field ◽  
Electronic Properties ◽  
Twist Angle ◽  
Bilayer Graphene ◽  
Polynomial Method ◽  
Zero Energy ◽  
Energy Bands ◽  
Optical And Electronic Properties ◽  
Twisted Bilayer Graphene ◽  
Kernel Polynomial Method

In AA-stacked twisted bilayer graphene, the lower energy bands become completely flat when the twist angle passes through certain specific values: the so-called “magic angles”. The Dirac peak appears at zero energy due to the flattening of these bands when the twist angle is sufficiently small [1-3]. When a constant perpendicular magnetic field is applied, Landau levels start appearing as expected [5]. We used the Kernel Polynomial Method (KPM) [6] as implemented in KITE [7] to study the optical and electronic properties of these systems. The aim of this work is to analyze how the features of these quantities change with the twist angle in the presence of an uniform magnetic field.

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