scholarly journals Zero-modes on orbifolds: Magnetized orbifold models by modular transformation

2017 ◽  
Vol 96 (9) ◽  
Author(s):  
Tatsuo Kobayashi ◽  
Satoshi Nagamoto
Keyword(s):  
Zero Modes ◽  
Modular Transformation

CORRELATION FUNCTIONS AND ZERO MODES ON HIGHER GENUS RIEMANN SURFACES

1988 ◽  
Vol 03 (04) ◽  
pp. 841-860 ◽  
Author(s):  
M. BONINI ◽  
R. IENGO
Keyword(s):  
Scattering Amplitudes ◽  
String Theory ◽  
Correlation Functions ◽  
Riemann Surfaces ◽  
Covariant Formulation ◽  
Two Dimensional ◽  
Zero Modes ◽  
Modular Transformation ◽  
Higher Genus

We describe systematically the propagators and the zero modes of the various two dimensional fields which appear in the construction of the scattering amplitudes in the string theory, within the framework of the covariant formulation, and we discuss also their modular transformation properties.

scholarly journals Modular symmetry and zeros in magnetic compactifications

2021 ◽  
Vol 2021 (10) ◽  
Author(s):  
Yoshiyuki Tatsuta
Keyword(s):  
Boundary Conditions ◽  
Zero Mode ◽  
Index Theorem ◽  
Homogeneous Magnetic Field ◽  
Wave Functions ◽  
Two Dimensional ◽  
Dimensional Torus ◽  
Zero Modes ◽  
Modular Transformation ◽  
Before And After

Abstract We discuss the modular symmetry and zeros of zero-mode wave functions on two-dimensional torus T2 and toroidal orbifolds T2/ℤN (N = 2, 3, 4, 6) with a background homogeneous magnetic field. As is well-known, magnetic flux contributes to the index in the Atiyah-Singer index theorem. The zeros in magnetic compactifications therefore play an important role, as investigated in a series of recent papers. Focusing on the zeros and their positions, we study what type of boundary conditions must be satisfied by the zero modes after the modular transformation. The consideration in this paper justifies that the boundary conditions are common before and after the modular transformation.

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.

scholarly journals Zero modes of the Kitaev chain with phase-gradients and longer range couplings

2018 ◽  
Vol 2 (4) ◽  
pp. 045010 ◽  
Author(s):  
Iman Mahyaeh ◽  
Eddy Ardonne
Keyword(s):  
Zero Modes
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