Berry phase effects on the transverse conductivity of Fermi surfaces and their detection via spin qubit noise magnetometry
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916393802268672 |
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| author | Morgenthaler, Mark Villadiego, Inti Sodemann |
| author_facet | Morgenthaler, Mark Villadiego, Inti Sodemann |
| contents | The quasi-static transverse conductivity of clean Fermi liquids at long wavelengths displays a remarkably universal behaviour: it is determined solely by the radius of curvature of the Fermi surface and does not depend on details such as the quasi-particle mass or their interactions. Here we demonstrate that Berry phases do not alter such universality by directly computing the transverse conductivity of two-dimensional electronic systems with Dirac dispersions, such as those appearing in graphene and its chiral multilayer variants. Interestingly, however, such universality ceases to hold at wave-vectors comparable to the Fermi radius, where Dirac fermions display a vividly distict transverse conductivity relative to parabolic Fermions, with a rich wave-vector dependence that includes divergences, oscillations and zeroes. We discuss how this can be probed by measuring the $T_1$ relaxation time of spin qubits, such as NV centers or nuclear spins, placed near such 2D systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_09117 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Berry phase effects on the transverse conductivity of Fermi surfaces and their detection via spin qubit noise magnetometry Morgenthaler, Mark Villadiego, Inti Sodemann Mesoscale and Nanoscale Physics The quasi-static transverse conductivity of clean Fermi liquids at long wavelengths displays a remarkably universal behaviour: it is determined solely by the radius of curvature of the Fermi surface and does not depend on details such as the quasi-particle mass or their interactions. Here we demonstrate that Berry phases do not alter such universality by directly computing the transverse conductivity of two-dimensional electronic systems with Dirac dispersions, such as those appearing in graphene and its chiral multilayer variants. Interestingly, however, such universality ceases to hold at wave-vectors comparable to the Fermi radius, where Dirac fermions display a vividly distict transverse conductivity relative to parabolic Fermions, with a rich wave-vector dependence that includes divergences, oscillations and zeroes. We discuss how this can be probed by measuring the $T_1$ relaxation time of spin qubits, such as NV centers or nuclear spins, placed near such 2D systems. |
| title | Berry phase effects on the transverse conductivity of Fermi surfaces and their detection via spin qubit noise magnetometry |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2409.09117 |