scholarly journals Tunneling and fluctuating electron-hole Cooper pairs in double bilayer graphene

2020 ◽  
Vol 101 (3) ◽  
Author(s):  
Dmitry K. Efimkin ◽  
G. William Burg ◽  
Emanuel Tutuc ◽  
Allan H. MacDonald
2012 ◽  
Vol 85 (19) ◽  
Author(s):  
Marijn A. M. Versteegh ◽  
A. J. van Lange ◽  
H. T. C. Stoof ◽  
Jaap I. Dijkhuis

2021 ◽  
Vol 118 (32) ◽  
pp. e2107874118
Author(s):  
Tommaso Cea ◽  
Francisco Guinea

The polarizability of twisted bilayer graphene, due to the combined effect of electron–hole pairs, plasmons, and acoustic phonons, is analyzed. The screened Coulomb interaction allows for the formation of Cooper pairs and superconductivity in a significant range of twist angles and fillings. The tendency toward superconductivity is enhanced by the coupling between longitudinal phonons and electron–hole pairs. Scattering processes involving large momentum transfers, Umklapp processes, play a crucial role in the formation of Cooper pairs. The magnitude of the superconducting gap changes among the different pockets of the Fermi surface.


2012 ◽  
Vol 81 (9) ◽  
pp. 093706 ◽  
Author(s):  
Kenji Kamide ◽  
Masahiro Yoshita ◽  
Hidefumi Akiyama ◽  
Makoto Yamaguchi ◽  
Tetsuo Ogawa

Science ◽  
2014 ◽  
Vol 345 (6192) ◽  
pp. 58-61 ◽  
Author(s):  
Kayoung Lee ◽  
Babak Fallahazad ◽  
Jiamin Xue ◽  
David C. Dillen ◽  
Kyounghwan Kim ◽  
...  

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.


2017 ◽  
Vol 13 (12) ◽  
pp. 1207-1214 ◽  
Author(s):  
Youngwoo Nam ◽  
Dong-Keun Ki ◽  
David Soler-Delgado ◽  
Alberto F. Morpurgo

Science ◽  
2014 ◽  
Vol 345 (6192) ◽  
pp. 55-57 ◽  
Author(s):  
A. Kou ◽  
B. E. Feldman ◽  
A. J. Levin ◽  
B. I. Halperin ◽  
K. Watanabe ◽  
...  

The nature of fractional quantum Hall (FQH) states is determined by the interplay between the Coulomb interaction and the symmetries of the system. The distinct combination of spin, valley, and orbital degeneracies in bilayer graphene is predicted to produce an unusual and tunable sequence of FQH states. Here, we present local electronic compressibility measurements of the FQH effect in the lowest Landau level of bilayer graphene. We observe incompressible FQH states at filling factors ν = 2p + 2/3, with hints of additional states appearing at ν = 2p + 3/5, where p = –2, –1, 0, and 1. This sequence breaks particle-hole symmetry and obeys a ν → ν + 2 symmetry, which highlights the importance of the orbital degeneracy for many-body states in bilayer graphene.


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