Statistical properties of linear Majorana fermions

Abstract

A Majorana fermion is the single fermionic particle that is its own antiparticle. Its dynamics is determined by the Majorana equation, where the spinor field is by definition equal to its charge-conjugate field. In this paper, we investigated Shannon's entropy of linear Majorana fermions to understand how this quantity is modified due to an external potential of the linear type linear. Subsequently, we turn our attention to the construction of an ensemble of these Majorana particles to study the thermodynamic properties of the model. Finally, we show how Shannon's entropy and thermodynamic properties are modified under the linear potential action.

arXiv comment26 pages, 7 figures

References in corpus (22)

• Unpaired Majorana fermions in quantum wires
• New directions in the pursuit of Majorana fermions in solid state systems
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Kitaev-Heisenberg Model on Honeycomb Lattice: Possible Exotic Phases in Iridium Oxides $A_2$IrO${}_3$
• Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
• Introduction to topological superconductivity and Majorana fermions
• Quantum simulation of the Dirac equation
• Majorana Fermions in Semiconductor Nanowires: Fundamentals, Modeling, and Experiment
• Continuous-variable quantum cryptography is secure against non-gaussian attacks
• Thermal Properties of Deng-Fan-Eckart Potential model using Poisson Summation Approach
• Creation and Manipulation of Anyons in the Kitaev Model
• Energy spectra and thermal properties of diatomic molecules in the presence of magnetic and AB fields with improved Kratzer potential
• Three-dimensional Dirac oscillator in a thermal bath
• Symmetry-Protected Scattering in Non-Hermitian Linear Systems
• Majorana spintronics
• Time Reversal and Charge Conjugation in an Embedding Quantum Simulator
• Shannon Entropy and Fisher Information of the one-dimensional Klein-Gordon oscillator with energy-dependent potential
• Klein-Gordon and Dirac Equations with Thermodynamic Quantities
• Information and thermodynamic properties of a non-Hermitian particle ensemble
• Dynamics of a Majorana trijunction in a microwave cavity
• Dynamics of Majorana fermions in two-dimensions
• Superconducting Niobium Calorimeter for Studies of Adsorbed Helium Monolayers

Cited by in corpus (3)

• Quantum information of the Aharanov-Bohm ring with Yukawa interaction in the presence of disclination
• Phase transitions in the logarithmic Maxwell O(3)-sigma model
• Effects of external field and potential on non-relativistic quantum particles in disclinations background