scholarly journals A criterion for the existence of zero modes for the Pauli operator with fastly decaying fields

2015 ◽  
Vol 56 (5) ◽  
pp. 052104 ◽  
Author(s):  
R. D. Benguria ◽  
H. Van Den Bosch
Keyword(s):  
Pauli Operator ◽  
Zero Modes

scholarly journals Infiniteness of zero modes for the Pauli operator with singular magnetic field

2006 ◽  
Vol 233 (1) ◽  
pp. 135-172 ◽  
Author(s):  
Grigori Rozenblum ◽  
Nikolai Shirokov
Keyword(s):  
Magnetic Field ◽  
Pauli Operator ◽  
Zero Modes

scholarly journals Majorana zero modes and their bosonization

2020 ◽  
Vol 102 (15) ◽  
Author(s):  
Victor Chua ◽  
Katharina Laubscher ◽  
Jelena Klinovaja ◽  
Daniel Loss
Keyword(s):  
Zero Modes

scholarly journals Many-body localization of zero modes

2020 ◽  
Vol 2 (2) ◽  
Author(s):  
Christian P. Chen ◽  
Marcin Szyniszewski ◽  
Henning Schomerus
Keyword(s):  
Many Body ◽  
Zero Modes

scholarly journals Many-body Majorana-like zero modes without gauge symmetry breaking

2021 ◽  
Vol 3 (2) ◽  
Author(s):  
V. Vadimov ◽  
T. Hyart ◽  
J. L. Lado ◽  
M. Möttönen ◽  
T. Ala-Nissila
Keyword(s):  
Gauge Symmetry ◽  
Symmetry Breaking ◽  
Many Body ◽  
Zero Modes

scholarly journals Robust zero modes in disordered two-dimensional honeycomb lattice with Kekulé bond ordering

2021 ◽  
pp. 168440
Author(s):  
Tohru Kawarabayashi ◽  
Yuya Inoue ◽  
Ryo Itagaki ◽  
Yasuhiro Hatsugai ◽  
Hideo Aoki
Keyword(s):  
Honeycomb Lattice ◽  
Two Dimensional ◽  
Zero Modes

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.

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