Quantum thermal transport in the charged Sachdev-Ye-Kitaev model: Thermoelectric Coulomb blockade
arXiv:2010.13592 · doi:10.1103/PhysRevB.103.L201107
Abstract
We present a microscopic theory for quantum thermoelectric and heat transport in the Schwarzian regime of the Sachdev-Ye-Kitaev (SYK) model. As a charged fermion realization of the SYK model in nanostructures we assume a setup based on a quantum dot connected to the charge reservoirs through weak tunnel barriers. We analyze particle-hole symmetry breaking effects crucial for both Seebeck and Peltier coefficients. We show that the quantum charge and heat transport at low temperatures are defined by the interplay between elastic and inelastic processes such that the inelastic processes provide a leading contribution to the transport coefficients at the temperatures that are smaller compared to the charging energy. We demonstrate that both electric and thermal conductance obey a power law in temperature behavior, while thermoelectric, Seebeck, and Peltier coefficients are exponentially suppressed. This represents selective suppression of only nondiagonal transport coefficients. We discuss the validity of the Kelvin formula in the presence of a strong Coulomb blockade.
10 pages, 4 figures
References in corpus (16)
- An Investigation of AdS Backreaction and Holography
- Observation of the two-channel Kondo effect
- Sachdev-Ye-Kitaev Model as Liouville Quantum Mechanics
- How bad metals turn good: spectroscopic signatures of resilient quasiparticles
- Kondo effect in quantum dots
- Thermopower of a Kondo-correlated quantum dot
- Violation of the Wiedemann-Franz Law in a Single-Electron Transistor
- Thermopower as a Possible Probe of Non-Abelian Quasiparticle Statistics in Fractional Quantum Hall Liquids
- Strange metals and the AdS/CFT correspondence
- Failure of the Wiedemann-Franz Law in Mesoscopic Conductors
- Impurity entanglement entropy in Kondo systems from conformal field theory
- Tunnelling density of states at Coulomb blockade peaks
- Ettingshausen effect due to Majorana modes
- Quantum thermoelectric and heat transport in the overscreened Kondo regime: Exact conformal field theory results
- Coulomb blockade oscillations of heat conductance in the charge Kondo regime
- Direct Entropy Measurement in a Mesoscopic Quantum System
Cited by in corpus (8)
- Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
- Quantum tunneling dynamics in a complex-valued Sachdev-Ye-Kitaev model quench-coupled to a cool bath
- Engineering SYK interactions in disordered graphene flakes under realistic experimental conditions
- Conductance and thermopower fluctuations in interacting quantum dots
- Heat conductance oscillations in two weakly connected charge Kondo circuits
- Universal relations between thermoelectrics and noise in mesoscopic transport across a tunnel junction
- Open harmonic chain without secular approximation
- Noise signatures of a charged Sachdev-Ye-Kitaev dot in mesoscopic transport