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Quasiperiodic systems host exotic transport regimes that are distinct from those found in periodic or disordered lattices. In this work, we study quantum transport in the Aubry-Andr\'e-Harper lattice in a two-terminal setup coupled to…

介观与纳米尺度物理 · 物理学 2026-01-16 Jinyuan Shang , Haiping Hu

We study the high temperature transport behavior of the Aubry-Andr\'e-Harper (AAH) model, both in the isolated thermodynamic limit and in the open system. At the critical point of the AAH model, we find hints of super-diffusive behavior…

介观与纳米尺度物理 · 物理学 2018-05-30 Archak Purkayastha , Sambuddha Sanyal , Abhishek Dhar , Manas Kulkarni

We investigate quantum transport in an off-diagonal Aubry--Andr\'e--Harper chain. The periodic hopping modulation generates effective internal boundaries that strongly influence the transmission characteristics. We show that edge, in-band…

介观与纳米尺度物理 · 物理学 2026-04-30 Moumita Patra

Here we study the phase diagram of the Aubry-Andre-Harper model in the presence of strong interactions as the strength of the quasiperiodic potential is varied. Previous work has established the existence of many-body localized phase at…

强关联电子 · 物理学 2023-03-10 Yongchan Yoo , Junhyun Lee , Brian Swingle

We uncover a systematic structure in the single particle phase-diagram of the quasiperiodic Aubry-Andr\'e-Harper(AAH) model with power-law hoppings ($\sim \frac{1}{r^\sigma}$) when the quasiperiodicity parameter is chosen to be a member of…

无序系统与神经网络 · 物理学 2021-02-16 Nilanjan Roy , Auditya Sharma

We investigate generalized Aubry-Andr\'{e} models featuring tunable quasidisordered potentials and a mobility edge that separates extended and localized states, with critical states for the mobility edge confirmed through finite-size…

无序系统与神经网络 · 物理学 2025-08-12 Feng Lu , Ao Zhou , Shujie Cheng , Gao Xianlong

We numerically investigate the link between the delocalization-localization transition and entanglement in a disordered long-range hopping model of spinless fermions by studying various static and dynamical quantities. This includes the…

强关联电子 · 物理学 2018-03-14 Nilanjan Roy , Auditya Sharma

The spectral landscape and the transport property of a translationally invariant network with side-coupled quantum dots are demonstrated within the tight-binding framework. For periodic environment band structure is demonstrated…

介观与纳米尺度物理 · 物理学 2023-03-21 Atanu Nandy

The transport properties of strongly interacting fermionic systems can reveal exotic states of matter, but experiments and theory have predominantly focused on bulk systems in the hydrodynamic limit describable with linear response…

We study the ground state properties of the one-dimensional extended Hubbard model at half-filling from the perspective of its particle reduced density matrix. We focus on the reduced density matrix of $2$ fermions and perform an analysis…

强关联电子 · 物理学 2022-04-11 Diego L. B. Ferreira , Thiago O. Maciel , Reinaldo O. Vianna , Fernando Iemini

The Aubry-Andr\'e-Harper model provides a paradigmatic example of aperiodic order in a one-dimensional lattice displaying a delocalization-localization phase transition at a finite critical value $V_c$ of the quasiperiodic potential…

无序系统与神经网络 · 物理学 2021-03-29 Stefano Longhi

As opposed to random disorder, which localizes single-particle wave-functions in 1D at arbitrarily small disorder strengths, there is a localization-delocalization transition for quasi-periodic disorder in the 1D Aubry-Andr\'e model at a…

统计力学 · 物理学 2022-03-30 Tessa Cookmeyer , Johannes Motruk , Joel E. Moore

The robustness of topological properties, such as quantized currents, generally depends on the existence of gaps surrounding the relevant energy levels or on symmetry-forbidden transitions. Here, we observe quantized currents that survive…

介观与纳米尺度物理 · 物理学 2025-08-21 Emmanuel Gottlob , Dan S. Borgnia , Robert-Jan Slager , Ulrich Schneider

We study the interplay between quantum transport and topology in a one-dimensional off-diagonal commensurate Aubry-Andr\'e-Harper (AAH) chain. The model, formulated within AAH framework, effectively represents a one-dimensional lattice with…

介观与纳米尺度物理 · 物理学 2026-02-06 Arpita Koley

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-Andr\'e-Harper (AAH)…

介观与纳米尺度物理 · 物理学 2022-06-29 Madhumita Saha , B. Prasanna Venkatesh , Bijay Kumar Agarwalla

A systematic study of optical and transport properties of the Hubbard model, based on Metzner and Vollhardt's dynamical mean-field approximation, is reviewed. This model shows interesting anomalous properties that are, in our opinion,…

supr-con · 物理学 2016-09-08 Th. Pruschke , M. Jarrell , J. K. Freericks

We investigate the spectral and transport properties of a two-arm tight-binding ladder perturbed by an external magnetic field following an Aubry-Andr\'e-Harper profile. The varying magnetic flux trapped in consecutive ladder-cells…

介观与纳米尺度物理 · 物理学 2020-10-05 Sk Sajid , Arunava Chakrabarti

We use quantum kinetic theory to calculate the thermoelectric transport properties of the 2D single band Fermi-Hubbard model in the weak coupling limit. For generic filling, we find that the high-temperature limiting behaviors of the…

量子气体 · 物理学 2021-11-03 Thomas G. Kiely , Erich J. Mueller

This study investigates the entanglement properties of disordered free fermion systems undergoing an Anderson phase transition from a delocalized to a localized phase. The entanglement entropy is employed to quantify the degree of…

强关联电子 · 物理学 2023-09-26 Mohammad Pouranvari

We introduce a two-dimensional generalisation of the quasiperiodic Aubry-Andr\'e model. Even though this model exhibits the same duality relation as the one-dimensional version, its localisation properties are found to be substantially more…

无序系统与神经网络 · 物理学 2020-02-20 Attila Szabó , Ulrich Schneider
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