Infinite critical boson induced non-Fermi liquid in $d=3-ε$ dimensions
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arXiv
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| Format: | Preprint |
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2022
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| author | Pan, Zhiming Zhang, Xiao-Tian |
| author_facet | Pan, Zhiming Zhang, Xiao-Tian |
| contents | We study the fermion-boson coupled system in $d=3-ε$ space dimensions near the quantum phase transition; infinite many boson modes located on a sphere become critical simultaneously, which is dubbed "critical boson sphere" (CBS). The fermions on the Fermi surface can be scattered to nearby points located on a boson ring in the low-energy limit. The number of boson scattering channel $N_{B}$ is also infinite, which renders the well-known Landau damping effect largely suppressed. The one-loop renormalization group analysis is performed with asymptotic $ε$-expansion. We find that the fermion self-energy and Yukawa interaction vertex are dressed with $ε$ poles; in addition, there emerges an enhancement due to the curvature effect of CBS. In certain perturbative regimes, we identify a marginal non-Fermi liquid (NFL) fixed point that exists intrinsically in the large-$N_B$ limit. The infinite critical bosons comprise a physical realization of the flavor degrees of freedom which has been proposed for matrix large-$N_B$ bosons. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_03818 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Infinite critical boson induced non-Fermi liquid in $d=3-ε$ dimensions Pan, Zhiming Zhang, Xiao-Tian Strongly Correlated Electrons High Energy Physics - Theory We study the fermion-boson coupled system in $d=3-ε$ space dimensions near the quantum phase transition; infinite many boson modes located on a sphere become critical simultaneously, which is dubbed "critical boson sphere" (CBS). The fermions on the Fermi surface can be scattered to nearby points located on a boson ring in the low-energy limit. The number of boson scattering channel $N_{B}$ is also infinite, which renders the well-known Landau damping effect largely suppressed. The one-loop renormalization group analysis is performed with asymptotic $ε$-expansion. We find that the fermion self-energy and Yukawa interaction vertex are dressed with $ε$ poles; in addition, there emerges an enhancement due to the curvature effect of CBS. In certain perturbative regimes, we identify a marginal non-Fermi liquid (NFL) fixed point that exists intrinsically in the large-$N_B$ limit. The infinite critical bosons comprise a physical realization of the flavor degrees of freedom which has been proposed for matrix large-$N_B$ bosons. |
| title | Infinite critical boson induced non-Fermi liquid in $d=3-ε$ dimensions |
| topic | Strongly Correlated Electrons High Energy Physics - Theory |
| url | https://arxiv.org/abs/2205.03818 |