Generalized Hertz action and quantum criticality of two-dimensional Fermi systems
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866915070547591168 |
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| author | Homenda, Mateusz Jakubczyk, Paweł Yamase, Hiroyuki |
| author_facet | Homenda, Mateusz Jakubczyk, Paweł Yamase, Hiroyuki |
| contents | We reassess the structure of the effective action and quantum critical singularities of two-dimensional Fermi systems characterized by the ordering wavevector $\vec{Q}= \vec{0}$. By employing infrared cutoffs on all the massless degrees of freedom, we derive a generalized form of the Hertz action, which does not suffer from problems of singular effective interactions. We demonstrate that the Wilsonian momentum-shell renormalization group (RG) theory capturing the infrared scaling should be formulated keeping $\vec{Q}$ as a flowing, scale-dependent quantity. At the quantum critical point, scaling controlled by the dynamical exponent $z=3$ is overshadowed by a broad scaling regime characterized by a lower value of $z \approx 2$. This in particular offers an explanation of the results of quantum Monte Carlo simulations pertinent to the electronic nematic quantum critical point. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_08198 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Generalized Hertz action and quantum criticality of two-dimensional Fermi systems Homenda, Mateusz Jakubczyk, Paweł Yamase, Hiroyuki Strongly Correlated Electrons Quantum Physics We reassess the structure of the effective action and quantum critical singularities of two-dimensional Fermi systems characterized by the ordering wavevector $\vec{Q}= \vec{0}$. By employing infrared cutoffs on all the massless degrees of freedom, we derive a generalized form of the Hertz action, which does not suffer from problems of singular effective interactions. We demonstrate that the Wilsonian momentum-shell renormalization group (RG) theory capturing the infrared scaling should be formulated keeping $\vec{Q}$ as a flowing, scale-dependent quantity. At the quantum critical point, scaling controlled by the dynamical exponent $z=3$ is overshadowed by a broad scaling regime characterized by a lower value of $z \approx 2$. This in particular offers an explanation of the results of quantum Monte Carlo simulations pertinent to the electronic nematic quantum critical point. |
| title | Generalized Hertz action and quantum criticality of two-dimensional Fermi systems |
| topic | Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2405.08198 |