Stable non-Fermi liquid fixed point at the onset of incommensurate $2k_F$ charge density wave order
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866908528957980672 |
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| author | Mandal, Ipsita |
| author_facet | Mandal, Ipsita |
| contents | We consider the emergence of a non-Fermi liquid fixed point in a two-dimensional metal, at the onset of a quantum phase transition from a Fermi liquid state to an incommensurate charge density wave (CDW) ordered phase. The momentum of the CDW boson is centred at the wavevector $ \boldsymbol{ \mathcal Q} $, which connects a single pair of antipodal points on the Fermi surface with antiparallel tangent vectors. We employ the dimensional regularization technique in which the co-dimension of the Fermi surface is extended to a generic value, while keeping the dimension of the Fermi surface itself fixed at one. Although the system is strongly coupled at dimension $d=2$, the interactions become marginal at the upper critical dimension $d=d_c$, whose value is found to be $ 5/2$. Using a controlled perturbative expansion in the parameter $ε= d_c - d $, we compute the critical exponents of the stable infrared fixed point characterizing the quantum critical point. The scalings of the original theory are determined by setting $ε=1/2$, where the fermion self-energy is seen to scale with the frequency with a fractional power law of $2/3$, which is the telltale signature of a typical non-Fermi liquid phase. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_02322 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stable non-Fermi liquid fixed point at the onset of incommensurate $2k_F$ charge density wave order Mandal, Ipsita Strongly Correlated Electrons Superconductivity High Energy Physics - Theory We consider the emergence of a non-Fermi liquid fixed point in a two-dimensional metal, at the onset of a quantum phase transition from a Fermi liquid state to an incommensurate charge density wave (CDW) ordered phase. The momentum of the CDW boson is centred at the wavevector $ \boldsymbol{ \mathcal Q} $, which connects a single pair of antipodal points on the Fermi surface with antiparallel tangent vectors. We employ the dimensional regularization technique in which the co-dimension of the Fermi surface is extended to a generic value, while keeping the dimension of the Fermi surface itself fixed at one. Although the system is strongly coupled at dimension $d=2$, the interactions become marginal at the upper critical dimension $d=d_c$, whose value is found to be $ 5/2$. Using a controlled perturbative expansion in the parameter $ε= d_c - d $, we compute the critical exponents of the stable infrared fixed point characterizing the quantum critical point. The scalings of the original theory are determined by setting $ε=1/2$, where the fermion self-energy is seen to scale with the frequency with a fractional power law of $2/3$, which is the telltale signature of a typical non-Fermi liquid phase. |
| title | Stable non-Fermi liquid fixed point at the onset of incommensurate $2k_F$ charge density wave order |
| topic | Strongly Correlated Electrons Superconductivity High Energy Physics - Theory |
| url | https://arxiv.org/abs/2403.02322 |