Adiabatic insertion of the Aharonov-Bohm flux through two pinholes introduces charge transport between them when the system is topologically non-trivial. This is the Laughlin argument. The defects/pinholes are the boundaries of the system and the behavior of the edge states tells us how much the charge is carried that further corresponds to the many-body Chern numbers as the bulk-edge correspondence. This is explicitly confirmed for the quantum Hall effects of anyons connecting well-known integer/fractional quantum Hall states by transmuting the statistical fluxes of particles into an external magnetic field (adiabatic heuristic argument). The paper Bulk-edge correspondence in the adiabatic heuristic principle” by Koji Kudo, Yoshihito Kuno, and Yasuhiro Hatsugai has been accepted for publication in Physical Review B as Letters on 14 December 2021 and has been published on Published 28 December 2021. See also arXiv:2106.10459.
Department of Physics
University of Tsukuba
1-1-1 Tennodai
Tsukuba
Ibaraki 305-8571
JAPAN
google map
Category
- Funding (1)
- General article (5)
- Job opening (2)
- Meeting (10)
- Published (coming soon) (48)
- Seminar (11)
- BEC Seminar (11)
- uncategorized (1)
News !!!
- Recent progress in Quantum Computing: Talk by Nobuyuki Yoshioka 2024.11.22
- Yutaka Shikano will tell us about observation of identical particles 2024.9.29
- 22nd International Conference on Recent Progress in Many-Body Theories (RPMBT22) 2024.8.22
- 2024 JPS Fall meeting 2024.8.7
- Z3 Berry phases for quantum spins 2024.5.22
- Non-uniform flux and particle blocking 2024.5.4
- Our new member, Kazuki Sone, will tell us on edge states of non-linear systems 2024.4.8
- Funding 2024 2024.4.3
- Bulk-edge correspondence for energy dependent systems/nonlinear eigen value problems 2024.3.19
- SKCM² Spring Symposium: Nara, Japan 2024.3.7
- APS March meeting 2024 2024.3.7
- Bulk-edge correspondence (Encyclopedia of condensed matter physics, 2nd Ed.) 2023.12.14
- TTQM2023 Kashiwa 2023.9.28
- The Physical Society of Japan, Annual meeting 9/16-9/19 (2023), Tohoku Univ. 2023.9.14
- Nontrivial Topology of Nontopological Nonlinear Waves 2023.8.22
archive
- November 2024 (1)
- September 2024 (1)
- August 2024 (2)
- May 2024 (2)
- April 2024 (2)
- March 2024 (3)
- December 2023 (1)
- September 2023 (2)
- August 2023 (2)
- July 2023 (2)
- June 2023 (3)
- March 2023 (2)
- February 2023 (4)
- January 2023 (1)
- December 2022 (1)
- November 2022 (1)
- October 2022 (1)
- September 2022 (1)
- August 2022 (1)
- July 2022 (2)
- June 2022 (1)
- April 2022 (1)
- March 2022 (1)
- February 2022 (3)
- January 2022 (2)
- December 2021 (1)
- November 2021 (2)
- October 2021 (2)
- September 2021 (2)
- August 2021 (3)
- July 2021 (4)
- June 2021 (2)
- May 2021 (4)
- April 2021 (2)
- January 2021 (2)
- December 2020 (6)
- November 2020 (2)
- October 2020 (2)
- June 2019 (1)
- July 2017 (1)