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| Format: | Preprint |
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2026
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| Online Access: | https://arxiv.org/abs/2604.24274 |
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| _version_ | 1866913090316009472 |
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| author | Mishra, Vibhu |
| author_facet | Mishra, Vibhu |
| contents | We compute the particle--hole bubble for an Ising-nematic metal when the critical Fermi surface approaches the Brillouin zone boundary for $d=2$ dimensions. We find two qualitatively distinct contributions: i)~the standard antipodal piece, which gives $Π_{\rm{ATP}}(\mathbf{q}, iΩ)\proptoΩ/q$ and ii)~an additional umklapp piece from electrons near the zone boundary, which gives $Π_{\rm{U}}(\mathbf{q}, iΩ)\propto Ω^α$ at the minimum umklapp momentum $q\approx Δ_q$ with $α= 2/3 $ or $1/2$ depending on the temperature $T$. At high $T$ when $α= 1/2$, the minimum $T$ for the activation of linear/quasi-linear in $T$ resistivity, which is expected to be $T_U \propto Δ_q^3$ from $z=3$ criticality, could potentially get reduced to $T_U \propto Δ_q^4$ due to the $\sqrtΩ$ term and discuss why we find only one hyper-specific scenario where this possibility might be realized. For $d=3$ the umklapp contribution gives $Π_{\rm{U}}\sim Ω$ irrespective of $T$ therefore $T_U$ is not modified in this case. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2604_24274 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Umklapp correction to Landau damping and conditions for non-trivial modifications to quantum critical transport Mishra, Vibhu Strongly Correlated Electrons We compute the particle--hole bubble for an Ising-nematic metal when the critical Fermi surface approaches the Brillouin zone boundary for $d=2$ dimensions. We find two qualitatively distinct contributions: i)~the standard antipodal piece, which gives $Π_{\rm{ATP}}(\mathbf{q}, iΩ)\proptoΩ/q$ and ii)~an additional umklapp piece from electrons near the zone boundary, which gives $Π_{\rm{U}}(\mathbf{q}, iΩ)\propto Ω^α$ at the minimum umklapp momentum $q\approx Δ_q$ with $α= 2/3 $ or $1/2$ depending on the temperature $T$. At high $T$ when $α= 1/2$, the minimum $T$ for the activation of linear/quasi-linear in $T$ resistivity, which is expected to be $T_U \propto Δ_q^3$ from $z=3$ criticality, could potentially get reduced to $T_U \propto Δ_q^4$ due to the $\sqrtΩ$ term and discuss why we find only one hyper-specific scenario where this possibility might be realized. For $d=3$ the umklapp contribution gives $Π_{\rm{U}}\sim Ω$ irrespective of $T$ therefore $T_U$ is not modified in this case. |
| title | Umklapp correction to Landau damping and conditions for non-trivial modifications to quantum critical transport |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2604.24274 |