Multiparticle interference in electronic Mach-Zehnder interferometers
<p style="text-align:justify;"> We study theoretically electronic Mach-Zehnder interferometers built from integer quantum-Hall-edge states, showing that the results of recent experiments can be understood in terms of multiparticle interference effects. These experiments probe the vi...
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| Format: | Journal article |
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American Physical Society
2010
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| _version_ | 1797091022213218304 |
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| author | Kovrizhin, D Chalker, J |
| author_facet | Kovrizhin, D Chalker, J |
| author_sort | Kovrizhin, D |
| collection | OXFORD |
| description | <p style="text-align:justify;"> We study theoretically electronic Mach-Zehnder interferometers built from integer quantum-Hall-edge states, showing that the results of recent experiments can be understood in terms of multiparticle interference effects. These experiments probe the visibility of Aharonov-Bohm (AB) oscillations in differential conductance as an interferometer is driven out of equilibrium by an applied bias, finding a lobe pattern in visibility as a function of voltage. We calculate the dependence on voltage of the visibility and the phase of AB oscillations at zero temperature, taking into account long-range interactions between electrons in the same edge for interferometers operating at a filling fraction ν=1. We obtain an exact solution via bosonization for models in which electrons interact only when they are inside the interferometer. This solution is nonperturbative in the tunneling probabilities at quantum-point contacts. The results match observations in considerable detail provided the transparency of the incoming contact is close to one-half: the variation in visibility with bias voltage consists of a series of lobes of decreasing amplitude and the phase of the AB fringes is practically constant inside the lobes but jumps by π at the minima of the visibility. We discuss in addition the consequences of approximations made in other recent treatments of this problem. We also formulate perturbation theory in the interaction strength and use this to study the importance of interactions that are not internal to the interferometer. </p> |
| first_indexed | 2024-03-07T03:27:05Z |
| format | Journal article |
| id | oxford-uuid:b96cd61a-c9e5-4874-8d48-72fcd4cffeff |
| institution | University of Oxford |
| last_indexed | 2024-03-07T03:27:05Z |
| publishDate | 2010 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:b96cd61a-c9e5-4874-8d48-72fcd4cffeff2022-03-27T05:02:44ZMultiparticle interference in electronic Mach-Zehnder interferometersJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:b96cd61a-c9e5-4874-8d48-72fcd4cffeffSymplectic Elements at OxfordAmerican Physical Society2010Kovrizhin, DChalker, J <p style="text-align:justify;"> We study theoretically electronic Mach-Zehnder interferometers built from integer quantum-Hall-edge states, showing that the results of recent experiments can be understood in terms of multiparticle interference effects. These experiments probe the visibility of Aharonov-Bohm (AB) oscillations in differential conductance as an interferometer is driven out of equilibrium by an applied bias, finding a lobe pattern in visibility as a function of voltage. We calculate the dependence on voltage of the visibility and the phase of AB oscillations at zero temperature, taking into account long-range interactions between electrons in the same edge for interferometers operating at a filling fraction ν=1. We obtain an exact solution via bosonization for models in which electrons interact only when they are inside the interferometer. This solution is nonperturbative in the tunneling probabilities at quantum-point contacts. The results match observations in considerable detail provided the transparency of the incoming contact is close to one-half: the variation in visibility with bias voltage consists of a series of lobes of decreasing amplitude and the phase of the AB fringes is practically constant inside the lobes but jumps by π at the minima of the visibility. We discuss in addition the consequences of approximations made in other recent treatments of this problem. We also formulate perturbation theory in the interaction strength and use this to study the importance of interactions that are not internal to the interferometer. </p> |
| spellingShingle | Kovrizhin, D Chalker, J Multiparticle interference in electronic Mach-Zehnder interferometers |
| title | Multiparticle interference in electronic Mach-Zehnder interferometers |
| title_full | Multiparticle interference in electronic Mach-Zehnder interferometers |
| title_fullStr | Multiparticle interference in electronic Mach-Zehnder interferometers |
| title_full_unstemmed | Multiparticle interference in electronic Mach-Zehnder interferometers |
| title_short | Multiparticle interference in electronic Mach-Zehnder interferometers |
| title_sort | multiparticle interference in electronic mach zehnder interferometers |
| work_keys_str_mv | AT kovrizhind multiparticleinterferenceinelectronicmachzehnderinterferometers AT chalkerj multiparticleinterferenceinelectronicmachzehnderinterferometers |