arXiv Open Access 2019

Hall conductivity of Sierpinski carpet

Askar A. Iliasov Mikhail I. Katsnelson Shengjun Yuan

Lihat Sumber

Abstrak

We calculate the Hall conductivity of a Sierpinski carpet using Kubo-Bastin formula. The quantization of Hall conductivity disappears when we increase the depth of the fractal. The Hall conductivity is no more proportional to the Chern number. Nevertheless, these quantities behave in a similar way showing some reminiscence of a topological nature of the Hall conductivity. We also study numerically the bulk-edge correspondence and find that the edge states become less manifested when the depth of Sierpinski carpet is increased.

Topik & Kata Kunci

cond-mat.dis-nn cond-mat.mes-hall quant-ph

Penulis (3)

Askar A. Iliasov

Mikhail I. Katsnelson

Shengjun Yuan

Format Sitasi

APA MLA BibTeX

Iliasov, A.A., Katsnelson, M.I., Yuan, S. (2019). Hall conductivity of Sierpinski carpet. https://arxiv.org/abs/1907.09310

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2019
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓