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Cyclotron quantization and mirror-time transition on nonreciprocal lattices
- Source :
- Phys. Rev. B 106, L081402 (2022)
- Publication Year :
- 2021
-
Abstract
- Unidirectional transport and localized cyclotron motion are two opposite physical phenomena. Here, we study the interplay effects between them on nonreciprocal lattices subject to a magnetic field. We show that, in the long-wavelength limit, the trajectories of the wave packets always form closed orbits in four-dimensional (4D) complex space. Therefore, the semiclassical quantization rules persist despite the nonreciprocity, which preserves real Landau levels. We predict a different type of non-Hermitian spectral transition induced by the spontaneous breaking of the combined mirror-time reversal ($\mathcal{MT}$) symmetry, which generally exists in such systems. An order parameter is proposed to describe the $\mathcal{MT}$ phase transition, not only to determine the $\mathcal{MT}$ phase boundary but also to quantify the degree of $\mathcal{MT}$-symmetry breaking. Such an order parameter can be generally applied to all types of non-Hermitian phase transitions.<br />Comment: 18 pages, including supplemental material, major revision, the version to be published in PRB Letter
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. B 106, L081402 (2022)
- Publication Type :
- Report
- Accession number :
- edsarx.2111.04412
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevB.106.L081402