Zero-energy Majorana edge modes in the three-dimensional Kitaev model

2019 ◽  
Vol 100 (4) ◽  
Author(s):  
N. C. Randeep ◽  
Naveen Surendran
Keyword(s):  
Three Dimensional ◽  
Zero Energy ◽  
Kitaev Model

scholarly journals Scalable Majorana vortex modes in iron-based superconductors

2020 ◽  
Vol 6 (9) ◽  
pp. eaay0443 ◽  
Author(s):  
Ching-Kai Chiu ◽  
T. Machida ◽  
Yingyi Huang ◽  
T. Hanaguri ◽  
Fu-Chun Zhang
Keyword(s):  
Tight Binding ◽  
Three Dimensional ◽  
Scanning Tunneling Spectroscopy ◽  
Scanning Tunneling ◽  
Zero Energy ◽  
Binding Model ◽  
Zero Bias ◽  
Iron Based Superconductors ◽  
Iron Based ◽  
Important Indication

The iron-based superconductor FeTexSe1−x is one of the material candidates hosting Majorana vortex modes residing in the vortex cores. It has been observed by recent scanning tunneling spectroscopy measurement that the fraction of vortex cores having zero-bias peaks decreases with increasing magnetic field on the surface of FeTexSe1−x. The hybridization of two Majorana vortex modes cannot simply explain this phenomenon. We construct a three-dimensional tight-binding model simulating the physics of over a hundred Majorana vortex modes in FeTexSe1−x. Our simulation shows that the Majorana hybridization and disordered vortex distribution can explain the decreasing fraction of the zero-bias peaks observed in the experiment; the statistics of the energy peaks off zero energy in our Majorana simulation are in agreement with the experiment. These agreements lead to an important indication of scalable Majorana vortex modes in FeTexSe1−x. Thus, FeTexSe1−x can be one promising platform having scalable Majorana qubits for quantum computing.

THE INVARIANT MEASURES AT WEAK DISORDER FOR THE TWO-LINE ANDERSON MODEL

2004 ◽  
Vol 16 (05) ◽  
pp. 639-673
Author(s):  
T. C. DORLAS ◽  
J. V. PULÉ
Keyword(s):  
Projective Space ◽  
Anderson Model ◽  
Invariant Measures ◽  
Three Dimensional ◽  
Weak Disorder ◽  
Single Chain ◽  
Zero Energy ◽  
Dimensional Projective Space

We study the invariant measures in the weak disorder limit, for the Anderson model on two coupled chains. These measures live on a three-dimensional projective space, and we use a total set of functions on this space to characterize the measures. We find that at several points of the spectrum, there are anomalies similar to that first found by Kappus and Wegner for the single chain at zero energy.

scholarly journals Chiral spin liquids with crystalline Z2 gauge order in a three-dimensional Kitaev model

2020 ◽  
Vol 101 (4) ◽  
Author(s):  
Petr A. Mishchenko ◽  
Yasuyuki Kato ◽  
Kevin O'Brien ◽  
Troels A. Bojesen ◽  
Tim Eschmann ◽  
...  
Keyword(s):  
Three Dimensional ◽  
Spin Liquids ◽  
Kitaev Model

Dynamical evolution of three-dimensional kinetic electron-beam instabilities

1989 ◽  
Vol 41 (1) ◽  
pp. 1-11 ◽  
Author(s):  
H. I. Abdel-Gawad
Keyword(s):  
Distribution Function ◽  
Electron Beam ◽  
Three Dimensional ◽  
Dynamical Evolution ◽  
Zero Energy ◽  
Linear Diffusion ◽  
Flat Shape ◽  
Method Of Solution ◽  
Consistent Manner ◽  
Beam Instabilities

We present a method of solution of the quasi-linear diffusion equation for the averaged distribution function. The criterion for its validity is discussed. Using the solution obtained, we study the dynamics of the relaxation of a weak kinetic electron-beam instability and show that it saturates asymptotically at zero energy level. In a self-consistent manner, the distribution function for the beam particles will be shown to deform to a flat shape.

scholarly journals Unusual Bound or Localized States

2001 ◽  
Vol 56 (1-2) ◽  
pp. 48-60 ◽  
Author(s):  
M. A. Cirone ◽  
G. Metikas ◽  
W. P. Schleicha
Keyword(s):  
Quantum Mechanics ◽  
Ground State ◽  
Schrodinger Equation ◽  
Three Dimensional ◽  
Equation Of Motion ◽  
Localized States ◽  
Two Dimensional ◽  
Zero Energy ◽  
Classical Physics ◽  
Oscillating Potential

Abstract We summarize unusual bound or localized states in quantum mechanics. Our guide through these intriguing phenomena is the classical physics of the upside-down pendulum, taking advantage of the analogy between the corresponding Newton’s equation of motion and the time independent Schrödinger equation. We discuss the zero-energy ground state in a three-dimensional, spatially oscillating, potential. Moreover, we focus on the effect of the attractive quantum anti-centrifugal potential that only occurs in a two-dimensional situation.

Sign in / Sign up

Export Citation Format

Share Document