English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Monte Carlo simulation of solitonic phonon propagation on a 2D plane in Weylfermion-sea is analyzed. We assume materials are filled with Weyl spinorslocated on $256\times 256$ 2D lattice points, which are expressed byquaternions ${\bf H}$. The topology of solitonic phonon propagation is definedby modifying fixed point actions of 4D Quantum Chromo Dynamics action to (2+1)Daction, replacing Dirac fermions by Weyl fermions, and changing the electriccharge current flow to the energy flow. We consider $A$ type loops whose pathare on a 2D plane, and $B$ type loops which contain two parallel links thatconnect two 2D plane on different time slices. The length of loops arerestricted to be less than or equal to 8 lattice units. At the moment spatiallattice unit and time lattice unit are same. They can be chosen arbitrarilywhen one compares hysteresis effects with experimental data. Using thequaternion expression of Porteous, we calculate the plaquette part of loopactions and the link part of loop actions. Link actions of $A$ type loopscancel with each other, but those of $B$ type loops depends on whether the spinrotation is clockwise or that is counterclockwise. In the present work weconsider average of clockwise rotating and counterclockwise rotating loopcontributions.

Clifford Fourier Transforms in (2+1)D Lattice Simulations of Soliton Propagations