scholarly journals Strong-coupling approach to Mott transition of massless and massive Dirac fermions on honeycomb lattice

2016 ◽  
Vol 93 (7) ◽  
Author(s):  
Elaheh Adibi ◽  
S. Akbar Jafari
2013 ◽  
Vol 27 (07) ◽  
pp. 1350046 ◽  
Author(s):  
DUC ANH LE

Using the coherent potential approximation, we study zero-temperature Mott transition in the half-filled Hubbard model on the honeycomb lattice. Although a pseudogap is already present for the non-interacting case, the gap will not occur until the onsite Coulomb repulsion exceeds a critical value U ≈ 3.6t, where t is the hopping integral. When increasing U/t, the density of states at the Fermi energy first goes up gradually from zero and after reaching a maximum it goes down to zero again. Our calculated critical interaction UC/t is in very good agreement with the ones obtained by quantum Monte Carlo simulation and cluster dynamical mean-field theory.


2000 ◽  
Vol 586 (3) ◽  
pp. 641-667 ◽  
Author(s):  
P Coleman ◽  
C Pépin ◽  
A.M Tsvelik

1974 ◽  
Vol 27 (2) ◽  
pp. 289 ◽  
Author(s):  
Woon-Hyuk Chung

In recent years the nucleus 51 Y has been extensively studied, both experimentally by Horoshko et al. (1970), using the 48Ti(oc, py)51y reaction, and theoretically in terms of shell model calculations by many authors (McCullen et al. 1964; Horoshko et al. 1970; Lips and McEllistrem 1970). Mixed configuration shell model calculations by Lips and McEllistrem, in particular, have successfully reproduced the low-lying energy levels of5ly. However, strong coupling rotational model calculations by Malik and Scholz (1966) did not give satisfactory results. In the present work, the intermediate coupling unified model (Bohr and Mottelson 1953; Choudhury 1954) is applied to Sly. The purpose of this work is to show that the intermediate coupling model can successfully predict the low-lying energy levels of Sly.


2021 ◽  
Vol 1 ◽  

Using an organic massless Dirac fermion system, we found that massless Dirac fermions undergo a quantum phase transition without creating any mass gap even in the strong coupling regime.


2015 ◽  
Vol 219 ◽  
pp. 1-6 ◽  
Author(s):  
Marcin W. Jarosik ◽  
Izabela A. Wrona ◽  
Anna M. Duda

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