Details
| Original language | English |
|---|---|
| Article number | 115304 |
| Journal | Physical Review B |
| Volume | 101 |
| Issue number | 11 |
| Publication status | Published - 17 Mar 2020 |
| Externally published | Yes |
Abstract
The fractional Josephson effect remains one of the decisive hallmarks of topologically protected Majorana zero modes. We analyze the effects of parity violating quasiparticle poisoning onto the current voltage characteristics of topological Josephson junctions. We include poisoning events directly within the resistively shunted junction (RSJ) model in the overdamped limit both in the short- A nd long-junction regime. We calculate the current voltage characteristics numerically where poisoning is modeled either via additional rates in the Fokker-Planck equations or by a time dependent parity and compare them to the limits of no and strong poisoning rates which we obtain analytically. Combining the tilted washboard potential with poisoning events, we show that the critical current of the long junction limit can be used as a probe of the junction topology even in the high temperature poisoning case where relaxation and excitation processes are equally likely. Using the tilted washboard potential model we develop three different schemes to measure the poisoning rate thereby also extending the consideration to two pairs of helical edge states containing a constriction that allows for tunneling between the two pairs of edge states.
ASJC Scopus subject areas
- Materials Science(all)
- Electronic, Optical and Magnetic Materials
- Physics and Astronomy(all)
- Condensed Matter Physics
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In: Physical Review B, Vol. 101, No. 11, 115304, 17.03.2020.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Quasiparticle poisoning effects on the dynamics of topological Josephson junctions
AU - Frombach, Daniel
AU - Recher, Patrik
N1 - Funding information: We thank Fernando Domínguez for very useful feedback on the paper, and Wolfgang Belzig and Markus Etzkorn for enlightening discussions. We acknowledge financial support from the Lower Saxony Ph.D.-programme “Contacts in Nanosystems”, the Braunschweig International Graduate School of Metrology B-IGSM, and the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) via Germany's Excellence Strategy EXC-2123 QuantumFrontiers 390837967 and the Research Training Group GrK1952/1 “Metrology for Complex Nanosystems.
PY - 2020/3/17
Y1 - 2020/3/17
N2 - The fractional Josephson effect remains one of the decisive hallmarks of topologically protected Majorana zero modes. We analyze the effects of parity violating quasiparticle poisoning onto the current voltage characteristics of topological Josephson junctions. We include poisoning events directly within the resistively shunted junction (RSJ) model in the overdamped limit both in the short- A nd long-junction regime. We calculate the current voltage characteristics numerically where poisoning is modeled either via additional rates in the Fokker-Planck equations or by a time dependent parity and compare them to the limits of no and strong poisoning rates which we obtain analytically. Combining the tilted washboard potential with poisoning events, we show that the critical current of the long junction limit can be used as a probe of the junction topology even in the high temperature poisoning case where relaxation and excitation processes are equally likely. Using the tilted washboard potential model we develop three different schemes to measure the poisoning rate thereby also extending the consideration to two pairs of helical edge states containing a constriction that allows for tunneling between the two pairs of edge states.
AB - The fractional Josephson effect remains one of the decisive hallmarks of topologically protected Majorana zero modes. We analyze the effects of parity violating quasiparticle poisoning onto the current voltage characteristics of topological Josephson junctions. We include poisoning events directly within the resistively shunted junction (RSJ) model in the overdamped limit both in the short- A nd long-junction regime. We calculate the current voltage characteristics numerically where poisoning is modeled either via additional rates in the Fokker-Planck equations or by a time dependent parity and compare them to the limits of no and strong poisoning rates which we obtain analytically. Combining the tilted washboard potential with poisoning events, we show that the critical current of the long junction limit can be used as a probe of the junction topology even in the high temperature poisoning case where relaxation and excitation processes are equally likely. Using the tilted washboard potential model we develop three different schemes to measure the poisoning rate thereby also extending the consideration to two pairs of helical edge states containing a constriction that allows for tunneling between the two pairs of edge states.
UR - http://www.scopus.com/inward/record.url?scp=85083176050&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.101.115304
DO - 10.1103/PhysRevB.101.115304
M3 - Article
AN - SCOPUS:85083176050
VL - 101
JO - Physical Review B
JF - Physical Review B
SN - 2469-9950
IS - 11
M1 - 115304
ER -