Modified Szegö–Widom Asymptotics for Block Toeplitz Matrices with Zero Modes
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-018-2177-8
Abstract: The Szegö–Widom theorem provides an expression for the determinant of block Toeplitz matrices in the asymptotic limit of large matrix dimension n. We show that the presence of zero modes, i.e, eigenvalues that vanish as… read more here.
Keywords: block toeplitz; toeplitz matrices; szeg widom; zero modes ... See more keywords
Analysis of zero modes for Dirac operators with magnetic links
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2017.12.006
Abstract: In this paper we provide a means to approximate Dirac operators with magnetic fields supported on links in $\mathbb{S}^3$ (and $\mathbb{R}^3$) by Dirac operators with smooth magnetic fields. We then proceed to prove that under… read more here.
Keywords: magnetic fields; analysis; dirac operators; analysis zero ... See more keywords
Microtwist elasticity: A continuum approach to zero modes and topological polarization in Kagome lattices
Sign Up to like & getrecommendations! Published in 2020 at "Journal of The Mechanics and Physics of Solids"
DOI: 10.1016/j.jmps.2020.104107
Abstract: Abstract The topologically polarized isostatic lattices discovered by Kane and Lubensky (2014, Nat. Phys. 10, 39–45) challenged the standard effective medium theories used in the modeling of many truss-based materials and metamaterials. As a matter… read more here.
Keywords: zero modes; effective medium; theory; microtwist elasticity ... See more keywords
Detecting Majorana Zero Modes via Strong Field Dynamics
Sign Up to like & getrecommendations! Published in 2022 at "ACS Omega"
DOI: 10.1021/acsomega.2c07169
Abstract: We propose a protocol to detect topological phase transitions of one-dimensional p-wave superconductors from their harmonic emission spectra in strong fields. Specifically, we identify spectral features due to radiating edge modes, which characterize the spectrum… read more here.
Keywords: detecting majorana; via strong; zero modes; modes via ... See more keywords
Manipulation of Majorana bound states in proximity to a quantum ring with Rashba coupling
Sign Up to like & getrecommendations! Published in 2022 at "Scientific Reports"
DOI: 10.1038/s41598-022-05043-y
Abstract: The quest for Majorana zero modes in the laboratory is an active field of research in condensed matter physics. In this regard, there have been many theoretical proposals; however, their experimental detection remains elusive. In… read more here.
Keywords: ring rashba; manipulation majorana; majorana zero; quantum ring ... See more keywords
Bounds on nonlocal correlations in the presence of signaling and their application to topological zero modes
Sign Up to like & getrecommendations! Published in 2019 at "New Journal of Physics"
DOI: 10.1088/1367-2630/ab2f5b
Abstract: Bell's theorem renders quantum correlations distinct from those of any local-realistic model. Although being stronger than classical correlations, quantum correlations are limited by the Tsirelson bound. This bound, however, applies for Hermitian, commutative operators corresponding… read more here.
Keywords: non local; local correlations; nonlocal correlations; correlations presence ... See more keywords
Explicit forms of zero modes in symmetric interacting Kitaev chain without and with dimerization
Sign Up to like & getrecommendations! Published in 2018 at "Chinese Physics B"
DOI: 10.1088/1674-1056/27/6/067101
Abstract: The fermionic and bosonic zero modes of the 1D interacting Kitaev chain at the symmetric point are unveiled. The many-body structures of the Majorana zero modes in the topological region are given explicitly by carrying… read more here.
Keywords: explicit forms; interacting kitaev; zero modes; kitaev chain ... See more keywords
Cross correlation mediated by distant Majorana zero modes with no overlap
Sign Up to like & getrecommendations! Published in 2021 at "Chinese Physics B"
DOI: 10.1088/1674-1056/ac1572
Abstract: Existing studies via shot noise calculation conclude that the cross correlation between the currents in the two leads connected by a pair of Majorana zero modes (MZMs) vanishes when their coupling energy $\epsilon_M\to 0$. Motivated… read more here.
Keywords: majorana zero; correlation mediated; correlation; cross correlation ... See more keywords
Exploring Majorana zero modes in iron-based superconductors
Sign Up to like & getrecommendations! Published in 2022 at "Chinese Physics B"
DOI: 10.1088/1674-1056/ac70c3
Abstract: Majorana zero modes (MZMs) are Majorana-fermion-like quasiparticles existing in crystals or hybrid platforms with topologically non-trivial electronic structures. They obey non-Abelian braiding statistics and are considered promising to realize topological quantum computing. Discovery of MZM… read more here.
Keywords: zero modes; based superconductors; fete0 55se0; majorana zero ... See more keywords
Symmetry-Protected Zero Modes in Metamaterials Based on Topological Spin Texture
Sign Up to like & getrecommendations! Published in 2020 at "Physical review applied"
DOI: 10.1103/physrevapplied.13.064058
Abstract: We predict the emergence of second-order topological insulators in the dynamics of spin-texture-based metamaterials. We propose that the quantized Chern number and the ${\mathbb{Z}}_{6}$ Berry phase can completely characterize the nontrivial topology. By studying the… read more here.
Keywords: symmetry protected; spin texture; symmetry; zero modes ... See more keywords
Rotating Majorana zero modes in a disk geometry
Sign Up to like & getrecommendations! Published in 2022 at "Physical Review B"
DOI: 10.1103/physrevb.105.085417
Abstract: We study the manipulation of Majorana zero modes in a thin disk made from a p-wave superconductor, in order to understand their use as a building block for topological quantum computers. We analyze the second-order… read more here.
Keywords: zero modes; geometry; modes disk; rotating majorana ... See more keywords