scholarly journals Competing nematic, antiferromagnetic, and spin-flux orders in the ground state of bilayer graphene

2012 ◽  
Vol 85 (24) ◽  
Author(s):  
Y. Lemonik ◽  
I. Aleiner ◽  
V. I. Fal'ko
2013 ◽  
Vol 87 (16) ◽  
Author(s):  
Frank Freitag ◽  
Markus Weiss ◽  
Romain Maurand ◽  
Jelena Trbovic ◽  
Christian Schönenberger

2019 ◽  
Vol 100 (12) ◽  
Author(s):  
Jia Ning Leaw ◽  
Ho-Kin Tang ◽  
Pinaki Sengupta ◽  
Fakher F. Assaad ◽  
Igor F. Herbut ◽  
...  

2016 ◽  
Vol 28 (08) ◽  
pp. 1650018
Author(s):  
Alessandro Giuliani ◽  
Ian Jauslin

We consider a model of half-filled bilayer graphene, in which the three dominant Slonczewski–Weiss–McClure hopping parameters are retained, in the presence of short-range interactions. Under a smallness assumption on the interaction strength [Formula: see text] as well as on the inter-layer hopping [Formula: see text], we construct the ground state in the thermodynamic limit, and prove that the pressure and two-point Schwinger function, away from its singularities, are analytic in [Formula: see text], uniformly in [Formula: see text]. The interacting Fermi surface is degenerate, and consists of eight Fermi points, two of which are protected by symmetries, while the locations of the other six are renormalized by the interaction, and the effective dispersion relation at the Fermi points is conical. The construction reveals the presence of different energy regimes, where the effective behavior of correlation functions changes qualitatively. The analysis of the crossover between regimes plays an important role in the proof of analyticity and in the uniform control of the radius of convergence. The proof is based on a rigorous implementation of fermionic renormalization group methods, including determinant estimates for the renormalized expansion.


2019 ◽  
Vol 34 (01) ◽  
pp. 2050016 ◽  
Author(s):  
Lufeng Zhang ◽  
Tongyun Huang ◽  
Ying Liang ◽  
Tianxing Ma

Motivated by the recent novel electronic features extracted from the magic-angle graphene superlattices, we studied the ground state superconducting pairing correlations within the Hubbard model on a twisted bilayer honeycomb lattice. Using Constrained-Path Quantum Monte Carlo method, we found that the [Formula: see text] pairing correlation dominates over other pairing patterns among various electron fillings and interaction strengths, and the effective pairing interaction was enhanced as the on-site Coulomb interaction increased. We further examined the effect of the nearest neighbor interaction [Formula: see text], and the effective pairing interaction with [Formula: see text] pairing symmetry was also enhanced by either a repulsive or attractive interaction. Our intensive numerical results confirm the interaction driven superconductivity with a dominant [Formula: see text] pairing symmetry in twisted bilayer graphene.


2012 ◽  
Vol 108 (7) ◽  
Author(s):  
F. Freitag ◽  
J. Trbovic ◽  
M. Weiss ◽  
C. Schönenberger

Author(s):  
Ben O. Spurlock ◽  
Milton J. Cormier

The phenomenon of bioluminescence has fascinated layman and scientist alike for many centuries. During the eighteenth and nineteenth centuries a number of observations were reported on the physiology of bioluminescence in Renilla, the common sea pansy. More recently biochemists have directed their attention to the molecular basis of luminosity in this colonial form. These studies have centered primarily on defining the chemical basis for bioluminescence and its control. It is now established that bioluminescence in Renilla arises due to the luciferase-catalyzed oxidation of luciferin. This results in the creation of a product (oxyluciferin) in an electronic excited state. The transition of oxyluciferin from its excited state to the ground state leads to light emission.


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