scholarly journals Majorana orthogonal transformation and Majorana zero modes in free fermionic systems

2021 ◽  
pp. 168564
Author(s):  
Jianlong Fu
Keyword(s):  
Orthogonal Transformation ◽  
Zero Modes ◽  
Fermionic Systems

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 Combined Mean-Field and Semiclassical Limits of Large Fermionic Systems

2021 ◽  
Vol 182 (2) ◽  
Author(s):  
Li Chen ◽  
Jinyeop Lee ◽  
Matthew Liew
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Mean Field ◽  
Weak Limit ◽  
Weak Compactness ◽  
Three Dimensions ◽  
Uniform Estimates ◽  
Fermionic Systems ◽  
Semiclassical Limits ◽  
Semiclassical Regime

AbstractWe study the time dependent Schrödinger equation for large spinless fermions with the semiclassical scale $$\hbar = N^{-1/3}$$ ħ = N - 1 / 3 in three dimensions. By using the Husimi measure defined by coherent states, we rewrite the Schrödinger equation into a BBGKY type of hierarchy for the k particle Husimi measure. Further estimates are derived to obtain the weak compactness of the Husimi measure, and in addition uniform estimates for the remainder terms in the hierarchy are derived in order to show that in the semiclassical regime the weak limit of the Husimi measure is exactly the solution of the Vlasov equation.

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

A micro canonical method for fermionic systems

1984 ◽  
Vol 418 ◽  
pp. 491-498 ◽  
Author(s):  
J. Polonyi ◽  
H.W. Wyld
Keyword(s):  
Fermionic Systems

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 Fermionic systems with charge correlations on the Bethe lattice

2007 ◽  
Vol 460-462 ◽  
pp. 1053-1054
Author(s):  
Ferdinando Mancini ◽  
Adele Naddeo
Keyword(s):  
Bethe Lattice ◽  
Charge Correlations ◽  
Fermionic Systems
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