Renormalization Group Study of a Fragile Fermi liquid in $1+ε$ dimensions
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2016
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| _version_ | 1866914248949497856 |
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| author | Mai, Peizhi Krishnamurthy, H. R. Shastry, B. Sriram |
| author_facet | Mai, Peizhi Krishnamurthy, H. R. Shastry, B. Sriram |
| contents | We present a calculation of the low energy Greens function in $1+ε$ dimensions using the method of extended poor man's scaling, developed here. We compute the wave function renormalization $Z(ω)$ and also the decay rate near the Fermi energy. Despite the lack of $ω^2$ damping characteristic of 3-dimensional Fermi liquids, we show that quasiparticles do exist in $1+ε$ dimensions, in the sense that the quasiparticle weight $Z$ is finite and that the damping rate is smaller than the energy. We explicitly compute the crossover from this behavior to a 1-dimensional type Tomonaga-Luttinger liquid behavior at higher energies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1602_03613 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | Renormalization Group Study of a Fragile Fermi liquid in $1+ε$ dimensions Mai, Peizhi Krishnamurthy, H. R. Shastry, B. Sriram Strongly Correlated Electrons We present a calculation of the low energy Greens function in $1+ε$ dimensions using the method of extended poor man's scaling, developed here. We compute the wave function renormalization $Z(ω)$ and also the decay rate near the Fermi energy. Despite the lack of $ω^2$ damping characteristic of 3-dimensional Fermi liquids, we show that quasiparticles do exist in $1+ε$ dimensions, in the sense that the quasiparticle weight $Z$ is finite and that the damping rate is smaller than the energy. We explicitly compute the crossover from this behavior to a 1-dimensional type Tomonaga-Luttinger liquid behavior at higher energies. |
| title | Renormalization Group Study of a Fragile Fermi liquid in $1+ε$ dimensions |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/1602.03613 |