Fingerprints of quantum criticality in locally resolved transport
Understanding electrical transport in strange metals, including the seeming universality of Planckian $T$-linear resistivity, remains a longstanding challenge in condensed matter physics. We propose that local imaging techniques, such as nitrogen vacancy center magnetometry, can locally identify...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SciPost
2022-07-01
|
| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.13.1.004 |
| _version_ | 1818193237880340480 |
|---|---|
| author | Xiaoyang Huang, Andrew Lucas |
| author_facet | Xiaoyang Huang, Andrew Lucas |
| author_sort | Xiaoyang Huang, Andrew Lucas |
| collection | DOAJ |
| description | Understanding electrical transport in strange metals, including the seeming
universality of Planckian $T$-linear resistivity, remains a longstanding
challenge in condensed matter physics. We propose that local imaging
techniques, such as nitrogen vacancy center magnetometry, can locally identify
signatures of quantum critical response which are invisible in measurements of
a bulk electrical resistivity. As an illustrative example, we use a minimal
holographic model for a strange metal in two spatial dimensions to predict how
electrical current will flow in regimes dominated by quantum critical dynamics
on the Planckian length scale. We describe the crossover between quantum
critical transport and hydrodynamic transport (including Ohmic regimes), both
in charge neutral and finite density systems. We compare our holographic
predictions to experiments on charge neutral graphene, finding quantitative
agreement with available data; we suggest further experiments which may
determine the relevance of our framework to transport on Planckian scales in
this material. More broadly, we propose that locally imaged transport be used
to test the universality (or lack thereof) of microscopic dynamics in the
diverse set of quantum materials exhibiting $T$-linear resistivity. |
| first_indexed | 2024-12-12T00:43:13Z |
| format | Article |
| id | doaj.art-1e917840f4994a71838dbc91699c73d2 |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-12-12T00:43:13Z |
| publishDate | 2022-07-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-1e917840f4994a71838dbc91699c73d22022-12-22T00:44:11ZengSciPostSciPost Physics2542-46532022-07-0113100410.21468/SciPostPhys.13.1.004Fingerprints of quantum criticality in locally resolved transportXiaoyang Huang, Andrew LucasUnderstanding electrical transport in strange metals, including the seeming universality of Planckian $T$-linear resistivity, remains a longstanding challenge in condensed matter physics. We propose that local imaging techniques, such as nitrogen vacancy center magnetometry, can locally identify signatures of quantum critical response which are invisible in measurements of a bulk electrical resistivity. As an illustrative example, we use a minimal holographic model for a strange metal in two spatial dimensions to predict how electrical current will flow in regimes dominated by quantum critical dynamics on the Planckian length scale. We describe the crossover between quantum critical transport and hydrodynamic transport (including Ohmic regimes), both in charge neutral and finite density systems. We compare our holographic predictions to experiments on charge neutral graphene, finding quantitative agreement with available data; we suggest further experiments which may determine the relevance of our framework to transport on Planckian scales in this material. More broadly, we propose that locally imaged transport be used to test the universality (or lack thereof) of microscopic dynamics in the diverse set of quantum materials exhibiting $T$-linear resistivity.https://scipost.org/SciPostPhys.13.1.004 |
| spellingShingle | Xiaoyang Huang, Andrew Lucas Fingerprints of quantum criticality in locally resolved transport SciPost Physics |
| title | Fingerprints of quantum criticality in locally resolved transport |
| title_full | Fingerprints of quantum criticality in locally resolved transport |
| title_fullStr | Fingerprints of quantum criticality in locally resolved transport |
| title_full_unstemmed | Fingerprints of quantum criticality in locally resolved transport |
| title_short | Fingerprints of quantum criticality in locally resolved transport |
| title_sort | fingerprints of quantum criticality in locally resolved transport |
| url | https://scipost.org/SciPostPhys.13.1.004 |
| work_keys_str_mv | AT xiaoyanghuangandrewlucas fingerprintsofquantumcriticalityinlocallyresolvedtransport |