Abstract
Classical wave fields are real-valued, ensuring the wave states at opposite frequencies and momenta to be inherently identical. Such a particle–hole symmetry can open up new possibilities for topological phenomena in classical systems. Here we show that the historically studied two-dimensional (2D) magnetoplasmon, which bears gapped bulk states and gapless one-way edge states near-zero frequency, is topologically analogous to the 2D topological p+ip superconductor with chiral Majorana edge states and zero modes. We further predict a new type of one-way edge magnetoplasmon at the interface of opposite magnetic domains, and demonstrate the existence of zero-frequency modes bounded at the peripheries of a hollow disk. These findings can be readily verified in experiment, and can greatly enrich the topological phases in bosonic and classical systems.
Highlights
Classical wave fields are real-valued, ensuring the wave states at opposite frequencies and momenta to be inherently identical
Plasmon is a unique type of bosonic excitations. It consists of collective motion of electron–hole pairs in a Coulomb interaction electron gas, whereas macroscopically it appears as coherent electron-density oscillations
We study the interaction between two topological edge states propagating along the same direction on the two 2D electron gas (2DEG) edges under opposite magnetic fields
Summary
Eðr; oÞ in equation 2 is the electric field evaluated within the z 1⁄4 0 plane. The Hamiltonian H is blockdiagonalized in the momentum space, acting on a generalized current density vector J, oJðq; oÞ 1⁄4 HðqÞJðq; oÞ; jRðq; oÞ. Þ upðqxpÀffiffi iqyÞ upðqxpþffiffi iqyÞ up ðqpx Àffiffi iqy CCCCCCCA: This long-wavelength three-band HðqÞ has a very similar structure to that of the Bogoliubov–de Gennes hamiltonian of a 2D p þ ip topological superconductor[42], which has two bulk bands. Qffiffiffiffiffiffiffiffiffiffiffi Àqqx pffiÀffiffiffi2ffiffiiffiqffiffiyffiffiffiffiffiffiffio2p ðqÞ q2x þqq2yffiffioffiffiffifficffiffiffiffiffi þ qx pþffiffiiqy o2pðqÞ
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