Quantum transport in quasi-periodic lattice systems in presence of Büttiker probes

Abstract

Quasi-periodic lattice systems offer diverse transport properties. In this work, we investigate the environment induced effects on transport properties for quasi-periodic systems, namely the one-dimensional Aubry-André-Harper (AAH) lattice chain and its generalized version (GAAH) by considering the Büttiker probe approach. We first consider voltage probe situation and study the electrical conductance properties in the linear response regime. At zero temperature, we observe enhancement in conductance at all the no-transport regimes, located both inside and outside of the band of the original system, for small probe coupling strength $\gamma$ with a power-law scaling ${\gamma }^4$. Whereas, for large probe coupling strengths, the conductance at all Fermi energies is the same and decays as a power-law with scaling $1/{\gamma }^4$. This particular scaling survives even in the finite-temperature limit. Interestingly, this scaling result is different from the one recently predicted following the local Lindblad master equation approach. The transport eventually becomes diffusive for all energy ranges and in all regimes of the original model for a sufficiently strong coupling with the probes. We further extend our study and consider voltage-temperature probes to analyze the thermoelectric performance of the chain in terms of the figure of merit. We also demonstrate the validity of two recently obtained bounds on thermoelectric efficiency that are tighter than the seminal Carnot bound and express the same in terms of the Onsager's transport coefficients.

References in corpus (19)

• Thermodynamic uncertainty relation for biomolecular processes
• Nearest neighbor tight binding models with an exact mobility edge in one dimension
• Observation of Topological Phase Transitions in Photonic Quasicrystals
• Signatures of Many-Body Localization in a Controlled Open Quantum System
• Observation of tunable mobility edges in generalized Aubry-André lattices
• Transport in a disordered tight-binding chain with dephasing
• Non-equilibrium phase diagram of a 1D quasiperiodic system with a single-particle mobility edge
• Electron transport in a one dimensional conductor with inelastic scattering by self-consistent reservoirs
• Voltage and dephasing probes: a full counting statistics discussion
• Disorder and dephasing effect on electron transport through conjugated molecular wires in molecular junctions
• Universal Bounds on Fluctuations in Continuous Thermal Machines
• Crucial role of decoherence for electronic transport in molecular wires: Polyaniline as a case study
• Environment-assisted quantum transport and mobility edges
• Ergodicity breaking in an incommensurate system observed by OTOCs and Loschmidt Echoes: From quantum diffusion to sub-diffusion
• Universal bounds on cooling power and cooling efficiency for autonomous absorption refrigerators
• Electron transport in an open mesoscopic metallic ring
• Read-out of Quasi-periodic Systems using Qubits
• Diffusion and Thermalization in a Boundary-Driven Dephasing Model
• Dephasing-enhanced performance in quasiperiodic thermal machines