Year: 2019
Type: article
Abstract: We analytically study low-temperature universal properties of a class of SYK-type models in the large N limit from the ${\mathrm{AdS}}_{2}$ gravity dual side in terms of $\mathrm{SL}(2,R)$-invariant Schwarzian action. The quantum correction to the conformal field theory ${\mathrm{CFT}}_{1}$ two-point correlation function due to the Schwarzian action produces a transfer of degree of freedom from the quasiparticle peak to the Hubbard band in density of states (DOS), a signature strong correlation. In Schwinger-Keldysh (SK) formalism, we calculate higher-point thermal out-of-time order correlation (OTOC) functions, which indicate quantum chaos by having a Lyapunov exponent. Higher-order local spin-spin correlations are also calculated, which can be related to the dynamical local susceptibility of quantum liquids such as the spin liquid in disordered metals, marginal Fermi liquid, non-Fermi liquid, etc.
Authors: Yong-Hui Qi, Yunseok Seo, Sang-Jin Sin, Geunho Song
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Awards: G4000257631, G4369505527
OpenAlex ID: W2797619642