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| Formato: | Preprint |
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2024
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| Acceso en línea: | https://arxiv.org/abs/2408.07158 |
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| _version_ | 1866917983101648896 |
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| author | Borissov, Anton Calvera, Vladimir Lee, Sung-Sik |
| author_facet | Borissov, Anton Calvera, Vladimir Lee, Sung-Sik |
| contents | We study the dynamics of critical spin fluctuations and hot electrons at the metallic antiferromagnetic quantum critical points with $Z_2$ and $O(2)$ spin symmetries, building upon earlier works on the $O(3)$ symmetric theory. The interacting theories in $2+1$ dimensions are approached from $3+1$-dimensional theories in the $ε$-expansion that tunes the co-dimension of Fermi surface as a control parameter. The low-energy physics of the $Z_2$ and $O(2)$ theories qualitatively differ from each other and also from that of the $O(3)$ theory. The difference is caused by higher-order quantum corrections beyond the one-loop order that are important even to the leading order in $ε$. The naive loop-expansion breaks down due to dynamical quenching of kinetic energy: the speed of the collective mode ($c$) and the Fermi velocity perpendicular to the magnetic ordering vector ($v$) become vanishingly small at low energies. What sets the three theories apart is the hierarchy that emerges between the quenched kinetic terms. At the infrared fixed point, $c/v$ becomes $0$, $1$ and $\infty$ in the $Z_2$, $O(2)$ and $O(3)$ theories, respectively. At intermediate energy scales, the slow renormalization group (RG) flows of $c$ and $v$ toward their fixed point values create approximate scale invariance controlled by approximate marginal parameters. The manifold of those quasi-fixed points and the RG flow therein determines crossovers from scaling behaviours with transient critical exponents at intermediate energy scales to the universal scaling in the low-energy limit. If the symmetry group is viewed as a tuning parameter, the $O(2)$ theory corresponds to a multi-critical point which has one additional quasi-marginal parameter than the other two theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_07158 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dynamical kinetic energy quenching in the antiferromagnetic quantum critical metals Borissov, Anton Calvera, Vladimir Lee, Sung-Sik Strongly Correlated Electrons We study the dynamics of critical spin fluctuations and hot electrons at the metallic antiferromagnetic quantum critical points with $Z_2$ and $O(2)$ spin symmetries, building upon earlier works on the $O(3)$ symmetric theory. The interacting theories in $2+1$ dimensions are approached from $3+1$-dimensional theories in the $ε$-expansion that tunes the co-dimension of Fermi surface as a control parameter. The low-energy physics of the $Z_2$ and $O(2)$ theories qualitatively differ from each other and also from that of the $O(3)$ theory. The difference is caused by higher-order quantum corrections beyond the one-loop order that are important even to the leading order in $ε$. The naive loop-expansion breaks down due to dynamical quenching of kinetic energy: the speed of the collective mode ($c$) and the Fermi velocity perpendicular to the magnetic ordering vector ($v$) become vanishingly small at low energies. What sets the three theories apart is the hierarchy that emerges between the quenched kinetic terms. At the infrared fixed point, $c/v$ becomes $0$, $1$ and $\infty$ in the $Z_2$, $O(2)$ and $O(3)$ theories, respectively. At intermediate energy scales, the slow renormalization group (RG) flows of $c$ and $v$ toward their fixed point values create approximate scale invariance controlled by approximate marginal parameters. The manifold of those quasi-fixed points and the RG flow therein determines crossovers from scaling behaviours with transient critical exponents at intermediate energy scales to the universal scaling in the low-energy limit. If the symmetry group is viewed as a tuning parameter, the $O(2)$ theory corresponds to a multi-critical point which has one additional quasi-marginal parameter than the other two theories. |
| title | Dynamical kinetic energy quenching in the antiferromagnetic quantum critical metals |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2408.07158 |