Deformation of Nanowires and Nanotubes

Abstract

In this article, we have investigated the consequences of the next to the leading order correction to the effective field theory of nanostructures. This has been done by analyzing the effects of deformed Heisenberg algebra on nanowires and nanotubes. We first deform the Schrodinger equation with cylindrical topology. Then specific solutions to the deformed Schrodinger equation with different boundary conditions are studied. These deformed solutions are used to investigate the consequences of the deformation on the energy of nanowires and nanotubes.

arXiv comment9 pages, 6 figures

References in corpus (27)

• The electronic properties of graphene
• Hilbert Space Representation of the Minimal Length Uncertainty Relation
• A Generalized Uncertainty Principle in Quantum Gravity
• Minimal Length Scale Scenarios for Quantum Gravity
• Discreteness of Space from the Generalized Uncertainty Principle
• Probing Planck-scale physics with quantum optics
• D-branes and Short Distances in String Theory
• A proposal for testing Quantum Gravity in the lab
• Discreteness of Space from GUP II: Relativistic Wave Equations
• Short Distance vs. Long Distance Physics: The Classical Limit of the Minimal Length Uncertainty Relation
• The Generalized Uncertainty Principle in (A)dS Space and the Modification of Hawking Temperature from the Minimal Length
• Accurate determination of electron-hole asymmetry and next-nearest neighbor hopping in graphene
• Zero-point length from string fluctuations
• Modified dispersion relations in extra dimensions
• Spin transport in interacting quantum wires and carbon nanotubes
• Generalized Uncertainty Principle and Angular Momentum
• Generalized Dirac structure beyond the linear regime in graphene
• Generalized Uncertainty Principle as a Consequence of the Effective Field Theory
• Helicoidal Fields and Spin Polarized Currents in CNT-DNA Hybrids
• A new bound on polymer quantization via an opto-mechanical setup
• Two-dimensional modeling of the self-limiting oxidation in silicon and tungsten nanowires
• Polymer Quantization of a Self-Gravitating Thin Shell
• Absence of Unruh effect in polymer quantization
• Effects of discrete topology on quantum transport across a graphene $n-p-n$ junction: A quantum gravity analogue
• Statistical mechanics of DNA-nanotube adsorption
• Discreteness of Space from Anisotropic Spin-Orbit Interaction
• Quantum Gravity Corrections to the Mean Field Theory of Nucleons

Cited by in corpus (1)

• Effects of underlying topology on quantum state discrimination