scholarly journals Computation of topological phase diagram of disordered Pb1−xSnxTe using the kernel polynomial method

2020 ◽  
Vol 2 (1) ◽  
Author(s):  
Dániel Varjas ◽  
Michel Fruchart ◽  
Anton R. Akhmerov ◽  
Pablo M. Perez-Piskunow
Keyword(s):  
Phase Diagram ◽  
Polynomial Method ◽  
Topological Phase ◽  
Kernel Polynomial Method

scholarly journals Entanglement and Disordered-Enhanced Topological Phase in the Kitaev Chain

Universe ◽  
2019 ◽  
Vol 5 (1) ◽  
pp. 33 ◽  
Author(s):  
Liron Levy ◽  
Moshe Goldstein
Keyword(s):  
Phase Diagram ◽  
Information Theory ◽  
Quantum Information ◽  
Critical Point ◽  
Entanglement Entropy ◽  
Quantum Information Theory ◽  
Topological Phase ◽  
Many Body ◽  
Zero Modes ◽  
Many Body Systems

In recent years, tools from quantum information theory have become indispensable in characterizing many-body systems. In this work, we employ measures of entanglement to study the interplay between disorder and the topological phase in 1D systems of the Kitaev type, which can host Majorana end modes at their edges. We find that the entanglement entropy may actually increase as a result of disorder, and identify the origin of this behavior in the appearance of an infinite-disorder critical point. We also employ the entanglement spectrum to accurately determine the phase diagram of the system, and find that disorder may enhance the topological phase, and lead to the appearance of Majorana zero modes in systems whose clean version is trivial.

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.

scholarly journals Topological phase diagram of coupled spinless p-wave superconductors

2019 ◽  
Vol 1226 ◽  
pp. 012015 ◽  
Author(s):  
A Maiellaro ◽  
F Romeo ◽  
R Citro
Keyword(s):  
Phase Diagram ◽  
P Wave ◽  
Topological Phase

Kernel Polynomial Method on GPU

2012 ◽  
Vol 41 (1) ◽  
pp. 59-88 ◽  
Author(s):  
Shixun Zhang ◽  
Shinichi Yamagiwa ◽  
Masahiko Okumura ◽  
Seiji Yunoki
Keyword(s):  
Polynomial Method ◽  
Kernel Polynomial Method

scholarly journals Topological phase diagram and saddle point singularity in a tunable topological crystalline insulator

2015 ◽  
Vol 92 (7) ◽  
Author(s):  
Madhab Neupane ◽  
Su-Yang Xu ◽  
R. Sankar ◽  
Q. Gibson ◽  
Y. J. Wang ◽  
...  
Keyword(s):  
Phase Diagram ◽  
Saddle Point ◽  
Topological Phase ◽  
Point Singularity ◽  
Topological Crystalline Insulator
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