Electronic properties of the boson mode in a three-point fermion loop and the emergent SYK physics

Abstract

We investigate the electronic properties of the boson mode in a three-point fermion loop. In this framwork, the single-particle excitation and the many-body local (in imaginary time and momentum space) field effects are investigated in IR or UV limits with the density fluctuation induced by external potential (or bosonic frequency). While in the limit of vanishing effect of external potential, which is equivalent to UV limit of the fermionic frequency, the conserving approximation can be applied together with the Luttinger-Ward analysis, in which case the anomalous contribution to the fermion self-energy or the expectation value of many-body interaction term, which is $g^2⟨{\Delta }^{†}\Delta ⟩$ ($g$ is the irreducible particle-particle vertex and $\Delta$ is the boson field operator), vanishes, and results in a Hartree-Fock type momentum- and frequency-independent fermion self-energy. The correlator $⟨{\Delta }^{†}\Delta ⟩$ is positive which can be obtained through the local moment sum rule of dynamical susceptibility.

References in corpus (19)

• Thermoelectric transport in disordered metals without quasiparticles: the SYK models and holography
• Hydrodynamic Transport Coefficients in Relativistic Scalar Field Theory
• Numerical study of fermion and boson models with infinite-range random interactions
• Solvable Strong-coupling Quantum Dot Model with a Non-Fermi-liquid Pairing Transition
• An exponential ramp in the quadratic Sachdev-Ye-Kitaev model
• Pairing fluctuations and pseudogaps in the attractive Hubbard model
• SYK non Fermi Liquid Correlations in Nanoscopic Quantum Transport
• A critical strange metal from fluctuating gauge fields in a solvable random model
• Non-perturbative approach to the attractive Hubbard model
• Anomalous self-energy and Fermi surface quasi-splitting in the vicinity of a ferromagnetic instability
• Low-rank Sachdev-Ye-Kitaev models
• Polarization tensor for tilted Dirac fermion materials: Covariance in deformed Minkowski spacetime
• Randomness and Chaos in Qubit Models
• Dynamic Many-Body Theory. II. Dynamics of Strongly Correlated Fermi Fluids
• Family of Sachdev-Ye-Kitaev models motivated by experimental considerations
• Many-Body Localization in a finite-range Sachdev-Ye-Kitaev model
• Attractive polaron formed in doped nonchiral/chiral parabolic system within ladder approximation
• Non-Equilibrium Steady States and Quantum Chaos in a three-site Driven-Dissipative Bose-Hubbard Chains base on Self-Consistent Mean-Field Approach
• Statistic physics in bound state in 3D fermi gas system

Cited by in corpus (1)

• Non-Equilibrium Steady States and Quantum Chaos in a three-site Driven-Dissipative Bose-Hubbard Chains base on Self-Consistent Mean-Field Approach