Disorder-induced fractionalization of pair density waves
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866908557021020160 |
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| author | May-Mann, Julian Pandey, Akshat Kivelson, Steven A. |
| author_facet | May-Mann, Julian Pandey, Akshat Kivelson, Steven A. |
| contents | We investigate the effects of disorder on a system that in the clean limit is a pair density wave (PDW) superconductor. The charge order of the clean PDW is inevitably lost (via Imry-Ma), but the fate of the superconducting order is less clear. Here, we consider a strongly inhomogeneous limit in which the system consists of a random collection of PDW puddles embedded in a metallic background. When the puddles are dilute, they become phase coherent at low temperatures, resulting in a state that is macroscopically equivalent to a charge-$2e$ $s$-wave superconductor. This can be viewed as an example of ``order parameter fractionalization'' -- the PDW order splits into a charge-2e s-wave superconductor and a charge density wave, the latter of which is destroyed by disorder -- and stands in contrast to the ``vestigial'' charge-4e superconductivity which has been proposed to arise in weakly disordered PDWs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_20435 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Disorder-induced fractionalization of pair density waves May-Mann, Julian Pandey, Akshat Kivelson, Steven A. Strongly Correlated Electrons Superconductivity We investigate the effects of disorder on a system that in the clean limit is a pair density wave (PDW) superconductor. The charge order of the clean PDW is inevitably lost (via Imry-Ma), but the fate of the superconducting order is less clear. Here, we consider a strongly inhomogeneous limit in which the system consists of a random collection of PDW puddles embedded in a metallic background. When the puddles are dilute, they become phase coherent at low temperatures, resulting in a state that is macroscopically equivalent to a charge-$2e$ $s$-wave superconductor. This can be viewed as an example of ``order parameter fractionalization'' -- the PDW order splits into a charge-2e s-wave superconductor and a charge density wave, the latter of which is destroyed by disorder -- and stands in contrast to the ``vestigial'' charge-4e superconductivity which has been proposed to arise in weakly disordered PDWs. |
| title | Disorder-induced fractionalization of pair density waves |
| topic | Strongly Correlated Electrons Superconductivity |
| url | https://arxiv.org/abs/2509.20435 |