| Full text | |
| Author(s): |
Teixeira, Raphael L. R. C.
;
Haller, Andreas
;
Singh, Roshni
;
Mathew, Amal
;
Idrisov, Edvin G.
;
da Silva, Luis G. G. V. Dias
;
Schmidt, Thomas L.
Total Authors: 7
|
| Document type: | Journal article |
| Source: | PHYSICAL REVIEW RESEARCH; v. 4, n. 4, p. 9-pg., 2022-11-14. |
| Abstract | |
Parafermion bound states (PBSs) are generalizations of Majorana bound states (MBSs) and have been predicted to exist as zero-energy eigenstates in proximitized fractional quantum Hall edge states. Similarly to MBSs, a finite distance between the PBS can split the ground-state degeneracy. However, parafermionic modes have a richer exchange statistics than MBSs, so several interaction terms are allowed by the underlying Z2n symmetry, rendering the effective Hamiltonian governing a pair of PBSs at a finite distance nontrivial. Here, we use a combination of analytical techniques (semiclassical instanton approximation) and numerical techniques (quantum Monte Carlo simulations) to determine the effective coupling Hamiltonian. For this purpose, we go beyond the dilute one-instanton gas approximation and show how finite-size effects can give rise to higher-order parafermion interactions. We find good quantitative agreement between the analytical results and Monte Carlo simulations. We estimate that these finite-size corrections should be observable in some of the recently proposed experiments to observe PBSs in strongly correlated systems. (AU) | |
| FAPESP's process: | 19/11550-8 - Parafermionic modes in correlated electron systems |
| Grantee: | Raphael Levy Ruscio Castro Teixeira |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 21/07602-2 - Parafermionic excitations in superconducting fractional quantum Hall edge states |
| Grantee: | Raphael Levy Ruscio Castro Teixeira |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |