Majorana edge magnetization in the Kitaev honeycomb model
| Autor: | Tohru Koma, Tomonari Mizoguchi |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Physics
Strongly Correlated Electrons (cond-mat.str-el) Condensed matter physics Spins Winding number FOS: Physical sciences Mathematical Physics (math-ph) 02 engineering and technology Fermion 021001 nanoscience & nanotechnology 01 natural sciences Magnetic field Condensed Matter - Strongly Correlated Electrons symbols.namesake Magnetization MAJORANA Magnet 0103 physical sciences symbols 010306 general physics 0210 nano-technology Hamiltonian (quantum mechanics) Mathematical Physics |
| Zdroj: | Physical Review B. 99 |
| ISSN: | 2469-9969 2469-9950 |
| DOI: | 10.1103/physrevb.99.184418 |
| Popis: | We propose an approach to detect the peculiarity of Majorana fermions at the edges of Kitaev magnets. As is well known, a pair of Majorana edge modes is realized when a single complex fermion splits into real and imaginary parts which are, respectively, localized at the left and right edges of a sample magnet. Reflecting both of this peculiarity of the Majorana fermions and the ground-state degeneracy caused by the existence of the Majorana edge zero modes, the spins at the edges of the sample magnet are expected to behave as a peculiar "free" spin which exhibits a unidirectional magnetization without any transverse magnetization when applied a sufficiently weak external magnetic field. For the Kitaev honeycomb model, we obtain the expression of the Majorana edge magnetization by relying on standard techniques to diagonalize a free fermion Hamiltonian. The magnetization profile thus obtained indeed shows the expected behavior. We also elucidate the relation between the Majorana edge flat band and the bulk winding number from a weak topological point of view. 19 pages, 6 figures |
| Databáze: | OpenAIRE |
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