Intrinsic violation of the Wiedemann-Franz law in interacting systems
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866918384272146432 |
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| author | Wang, YuanDong Zhu, Zhen-Gang |
| author_facet | Wang, YuanDong Zhu, Zhen-Gang |
| contents | The Wiedemann-Franz (WF) law dictates a universal ratio between thermal and electrical conductivities, is widely obeyed by Fermi liquid systems. Here, we identify a fundamental yet often overlooked, thermodynamic mechanism for the violation of WF law: the temperature-dependent renormalization of the electronic band structure. We demonstrate that the interaction-induced energy drift $\partialε_k/\partial T$, acts as an effective driving force that fundamentally decouples heat transport from charge transport. We derive a generalized transport relation linking the Lorenz ratio deviation directly to the thermoelectric response. Our findings provide a unified framework for understanding thermal transport in interacting topological phases and suggest the Lorenz ratio as a probe for distinguishing topological robustness from Fermi liquid instabilities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_11713 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Intrinsic violation of the Wiedemann-Franz law in interacting systems Wang, YuanDong Zhu, Zhen-Gang Mesoscale and Nanoscale Physics The Wiedemann-Franz (WF) law dictates a universal ratio between thermal and electrical conductivities, is widely obeyed by Fermi liquid systems. Here, we identify a fundamental yet often overlooked, thermodynamic mechanism for the violation of WF law: the temperature-dependent renormalization of the electronic band structure. We demonstrate that the interaction-induced energy drift $\partialε_k/\partial T$, acts as an effective driving force that fundamentally decouples heat transport from charge transport. We derive a generalized transport relation linking the Lorenz ratio deviation directly to the thermoelectric response. Our findings provide a unified framework for understanding thermal transport in interacting topological phases and suggest the Lorenz ratio as a probe for distinguishing topological robustness from Fermi liquid instabilities. |
| title | Intrinsic violation of the Wiedemann-Franz law in interacting systems |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2603.11713 |