scholarly journals Phase structure of two-dimensional topological insulators by lattice strong-coupling expansion

2013 ◽  
Vol 87 (20) ◽  
Author(s):  
Yasufumi Araki ◽  
Taro Kimura
2014 ◽  
Author(s):  
Yasufumi Araki ◽  
Taro Kimura ◽  
Akihiko Sekine ◽  
Kentaro Nomura ◽  
Takashi Z. Nakano

2006 ◽  
Vol 15 (09) ◽  
pp. 1373-1386 ◽  
Author(s):  
MARCO FRASCA

Strong coupling expansion is computed for the Einstein equations in vacuum in the Arnowitt–Deser–Misner (ADM) formalism. The series is given by the duality principle in perturbation theory as presented in M. Frasca, Phys. Rev. A58, 3439 (1998). An example of application is also given for a two-dimensional model of gravity expressed through the Liouville equation showing that the expansion is not trivial and consistent with the exact solution, in agreement with the general analysis. Application to the Einstein equations in vacuum in the ADM formalism shows that the space–time near singularities is driven by space homogeneous equations.


1989 ◽  
Vol 40 (7) ◽  
pp. 4431-4436 ◽  
Author(s):  
B. Friedman ◽  
X. Y. Chen ◽  
W. P. Su

Author(s):  
Xiaoqiu Guo ◽  
Ruixin Yu ◽  
Jingwen Jiang ◽  
Zhuang Ma ◽  
Xiuwen Zhang

Topological insulation is widely predicted in two-dimensional (2D) materials realized by epitaxial growth or van der Waals (vdW) exfoliation. Such 2D topological insulators (TI’s) host many interesting physical properties such...


2020 ◽  
Vol 4 (1) ◽  
pp. 9
Author(s):  
Vasilios Karanikolas ◽  
Ioannis Thanopulos ◽  
Emmanuel Paspalakis

Two-dimensional materials allow for extreme light confinement, thus becoming important candidates for all optical application platforms.  [...]


2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Jorge G. Russo ◽  
Miguel Tierz

Abstract We study a unitary matrix model of the Gross-Witten-Wadia type, extended with the addition of characteristic polynomial insertions. The model interpolates between solvable unitary matrix models and is the unitary counterpart of a deformed Cauchy ensemble. Exact formulas for the partition function and Wilson loops are given in terms of Toeplitz determinants and minors and large N results are obtained by using Szegö theorem with a Fisher-Hartwig singularity. In the large N (planar) limit with two scaled couplings, the theory exhibits a surprisingly intricate phase structure in the two-dimensional parameter space.


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