The Effect of the Non-Abelian Quantum Metric on Superfluidity
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866910923707383808 |
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| author | Chen, Kai Karki, Bishnu Hosur, Pavan |
| author_facet | Chen, Kai Karki, Bishnu Hosur, Pavan |
| contents | The quantum geometric tensor, which encodes the full geometric information of quantum states in projective Hilbert space, plays a crucial role in condensed matter physics. In this work, we examine the effect of the non-Abelian quantum metric -- the real part of the non-Abelian quantum geometric tensor -- on the superfluid weight in time-reversal symmetric systems. For conventional $s$-wave pairing, we demonstrate that the superfluid weight includes a contribution proportional to the trace of the non-Abelian quantum metric. Notably, this contribution remains significant even when the total Chern number of a set of degenerate bands is zero and can exceed the conventional contribution, as confirmed using lattice models. Ab initio density functional theory (DFT) calculations for MoS$_2$ and TiSe$_2$ further corroborate these findings, revealing that the non-Abelian quantum metric accounts for up to 20% of the superfluid weight in MoS$_2$ and 50% in TiSe$_2$. Our results provide new insights into the nontrivial relationship between the geometric properties of quantum states and superconductivity, opening avenues for further exploration in topological and superconducting materials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_16965 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Effect of the Non-Abelian Quantum Metric on Superfluidity Chen, Kai Karki, Bishnu Hosur, Pavan Superconductivity Materials Science Strongly Correlated Electrons The quantum geometric tensor, which encodes the full geometric information of quantum states in projective Hilbert space, plays a crucial role in condensed matter physics. In this work, we examine the effect of the non-Abelian quantum metric -- the real part of the non-Abelian quantum geometric tensor -- on the superfluid weight in time-reversal symmetric systems. For conventional $s$-wave pairing, we demonstrate that the superfluid weight includes a contribution proportional to the trace of the non-Abelian quantum metric. Notably, this contribution remains significant even when the total Chern number of a set of degenerate bands is zero and can exceed the conventional contribution, as confirmed using lattice models. Ab initio density functional theory (DFT) calculations for MoS$_2$ and TiSe$_2$ further corroborate these findings, revealing that the non-Abelian quantum metric accounts for up to 20% of the superfluid weight in MoS$_2$ and 50% in TiSe$_2$. Our results provide new insights into the nontrivial relationship between the geometric properties of quantum states and superconductivity, opening avenues for further exploration in topological and superconducting materials. |
| title | The Effect of the Non-Abelian Quantum Metric on Superfluidity |
| topic | Superconductivity Materials Science Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2501.16965 |