Dephasing-enhanced performance in quasiperiodic thermal machines
Cecilia Chiaracane,
Archak Purkayastha,
Mark T. Mitchison
et al.
Abstract:Understanding and controlling quantum transport in low-dimensional systems is pivotal for heat management at the nanoscale. One promising strategy to obtain the desired transport properties is to engineer particular spectral structures. In this work we are interested in quasiperiodic disorder -incommensurate with the underlying periodicity of the lattice -which induces fractality in the energy spectrum. A well known example is the Fibonacci model which, despite being non-interacting, yields anomalous diffusion… Show more
“…The popular quasi-periodic lattice systems, namely, the Aubry-André-Harper (AAH), its generalised version GAAH model and the Fibonacci model [21,22] have been studied extensively in the context of boundary driven dissipative quantum transport [23][24][25][26][27][28][29]. Further studies have started to emerge to understand the environment induced effects on transport [30][31][32][33][34][35][36][37] in such systems. Very recently, following the local Lindblad master equation formalism, the steady-state transport properties due to dephasing noise were analyzed for AAH and Fibonacci models [34].…”
Section: Introductionmentioning
confidence: 99%
“…Following a similar approach, the effect of dephasing noise on transport was studied in presence of mobility edge [35]. Another recent work [36] focused on understanding thermoelectric transport properties for Fibonacci type model using the first principle Büttiker voltage-temperature probe approach, [38][39][40][41] where it was shown that noise induced processes can lead to a better thermoelectric performance in certain regimes of transport. Note that, such a Büttiker probe technique was used extensively in the past to understand effective many-body transport properties in setups like molecular junctions [42][43][44][45][46][47][48][49], quantum dots [50], lattice models of oscillators [51][52][53] etc.…”
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 γ with a power-law scaling γ 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/γ 4 . This particular scaling survives even in the finitetemperature 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.
“…The popular quasi-periodic lattice systems, namely, the Aubry-André-Harper (AAH), its generalised version GAAH model and the Fibonacci model [21,22] have been studied extensively in the context of boundary driven dissipative quantum transport [23][24][25][26][27][28][29]. Further studies have started to emerge to understand the environment induced effects on transport [30][31][32][33][34][35][36][37] in such systems. Very recently, following the local Lindblad master equation formalism, the steady-state transport properties due to dephasing noise were analyzed for AAH and Fibonacci models [34].…”
Section: Introductionmentioning
confidence: 99%
“…Following a similar approach, the effect of dephasing noise on transport was studied in presence of mobility edge [35]. Another recent work [36] focused on understanding thermoelectric transport properties for Fibonacci type model using the first principle Büttiker voltage-temperature probe approach, [38][39][40][41] where it was shown that noise induced processes can lead to a better thermoelectric performance in certain regimes of transport. Note that, such a Büttiker probe technique was used extensively in the past to understand effective many-body transport properties in setups like molecular junctions [42][43][44][45][46][47][48][49], quantum dots [50], lattice models of oscillators [51][52][53] etc.…”
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 γ with a power-law scaling γ 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/γ 4 . This particular scaling survives even in the finitetemperature 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.
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