Phonon Hall Effect in Four-Terminal Junctions

Abstract

Using an exact nonequilibrium Green's function formulism, the phonon Hall effect for paramagnetic dielectrics is studied in a four-terminal device setting. The temperature difference in the transverse direction of the heat current is calculated for two-dimensional models with the magnetic field perpendicular to the plane. We find a surprising result that the square lattice does not have the phonon Hall effect while a honeycomb lattice has. This can be explained by symmetry. The temperature difference changes sign if the magnetic field is sufficiently large.

4 pages, 5 figures

References in corpus (13)

• Thermal diode: Rectification of heat flux
• Thermal Logic Gates: Computation with phonons
• Negative differential thermal resistance and thermal transistor
• Quantum thermal transport in nanostructures
• Interface thermal resistance between dissimilar anharmonic lattice
• Thermal memory: a storage of phononic information
• Nonequilibrium Green's function approach to mesoscopic thermal transport
• Theory of Phonon Hall Effect in Paramagnetic Dielectrics
• Spin-Hall Effect in Two-Dimensional Electron Systems with Rashba Spin-Orbit Coupling and Disorder
• Anomalous Hall effect for the phonon heat conductivity in paramagnetic dielectric
• Phonon Hall thermal conductivity from Green-Kubo formula
• Control of heat transport in quantum spin systems
• Ballistic magneto-thermal transport in a Heisenberg spin chain at low temperatures

Cited by in corpus (13)

• Phononics: Manipulating heat flow with electronic analogs and beyond
• Valley contrasting chiral phonons in monolayer hexagonal lattices
• Topological Nature of the Phonon Hall Effect
• Angular Momentum of Phonons and Einstein-de Haas Effect
• Nonequilibrium Green's function method for quantum thermal transport
• Interfacial thermal transport in atomic junctions
• Ballistic thermal rectification in nanoscale three-terminal junctions
• The phonon Hall effect: theory and application
• Nonlinearity enhanced interfacial thermal conductance and rectification
• Phonon Hall effect in ionic crystals in the presence of static magnetic field
• A Concept of Linear Thermal Circulator Based on Coriolis forces
• Nernst-like Effect in a Flexible Chain
• Ballistic Thermal Transistor of Dielectric Four-terminal Nanostructures