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Non-Hermitian quasicrystals possess PT and metal-insulator transitions induced by gain and loss or nonreciprocal effects. In this work, we uncover the nature of localization transitions in a generalized Aubry-Andre-Harper model with…

无序系统与神经网络 · 物理学 2021-08-20 Longwen Zhou , Wenqian Han

Mobility edge, a critical energy separating localized and extended excitations, is a key concept for understanding quantum localization. Aubry-Andr\'{e} (AA) model, a paradigm for exploring quantum localization, does not naturally allow…

We study a non-Hermitian AA model with long-range hopping, $1/r^a$, and different choices of quasiperiodic parameters $\beta$ to be a member of the metallic mean family. We find that when the power-law exponent is in the $a<1$ regime, the…

无序系统与神经网络 · 物理学 2021-12-24 Zhihao Xu , Xu Xia , Shu Chen

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

For strongly correlated quantum systems, fundamental questions about the formation and stability of Floquet-Bloch sidebands (FBs) upon periodic driving remain unresolved. Here, we investigate the impact of electron-electron interactions and…

强关联电子 · 物理学 2025-10-29 Karun Gadge , Salvatore R. Manmana

We introduce and explore a family of self-dual models of single-particle motion in quasiperiodic potentials, with hopping amplitudes that fall off as a power law with exponent $p$. These models are generalizations of the familiar…

无序系统与神经网络 · 物理学 2017-08-10 Sarang Gopalakrishnan

Mobility edges commonly arise in one-dimensional quasiperiodic systems once exact self-duality is broken, yet their origin is typically understood only at the level of individual Hamiltonians. Here we show that mobility edge positions are…

无序系统与神经网络 · 物理学 2026-05-19 Sanghoon Lee , Tilen Cadez , Kyoung-Min Kim

Mobility edges (MEs) constitute the energies separating the localized states from the extended ones in disordered systems. Going beyond this conventional definition, recent proposal suggests for an ME which separates the localized and…

量子气体 · 物理学 2025-03-26 Sanchayan Banerjee , Soumya Ranjan Padhi , Tapan Mishra

Multiple-band electronic structure and proximity to antiferromagnetic (AF) instability are the key properties of iron-based superconductors. We explore the influence of scattering by the AF spin fluctuations on transport of multiple-band…

强关联电子 · 物理学 2016-11-03 A. E. Koshelev

In this study, we investigate the problem of Anderson localization in a one-dimensional flat band lattice with a non-Hermitian quasiperiodic on-site potential. First of all, we discuss the influences of non-Hermitian potentials on the…

无序系统与神经网络 · 物理学 2025-06-12 Guang-Xin Pang , Zhi Li , Shan-Zhong Li , Yan-Yang Zhang , Jun-Feng Liu , Yi-Cai Zhang

The interplay between Floquet driving and non-Hermitian gain/loss could give rise to intriguing phenomena including topological funneling of light, edge-state delocalization, anomalous topological transitions and Floquet non-Hermitian skin…

应用物理 · 物理学 2026-03-17 Weiwei Zhu , Longwen Zhou , Linhu Li , Jiangbin Gong

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

We study the strong disorder regime of Floquet topological systems in dimension two, that describe independent electrons on a lattice subject to a periodic driving. In the spectrum of the Floquet propagator we assume the existence of an…

数学物理 · 物理学 2019-06-26 Jacob Shapiro , Clément Tauber

We examine statistical fluctuation of eigenvalues from the near-edge bulk of QCD Dirac spectra above the critical temperature. For completeness we start by reviewing on the spectral property of Anderson tight-binding Hamiltonians as…

高能物理 - 格点 · 物理学 2013-12-18 Shinsuke M. Nishigaki , Matteo Giordano , Tamas G. Kovacs , Ferenc Pittler

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

Floquet states have been used to describe the impact of periodic driving on lattice systems, either using a tight-binding model, or by using a continuum model where a Kronig-Penney-like description has been used to model spatially periodic…

介观与纳米尺度物理 · 物理学 2021-10-05 Asadullah Bhuiyan , Frank Marsiglio

Periodically driven quantum systems can exhibit subharmonic response, usually characterized through physical observables and often discussed in interacting settings. Here we show that a sharp subharmonic signature already appears in the…

量子物理 · 物理学 2026-04-28 Rishabh Jha

Electronic behavior of a 1D Aubry chain with Hubbard interaction is critically analyzed in presence of electric field. Multiple energy bands are generated as a result of Hubbard correlation and Aubry potential, and, within these bands…

介观与纳米尺度物理 · 物理学 2016-06-21 Srilekha Saha , Santanu K. Maiti , S. N. Karmakar

The cooperation between time-periodic driving fields and non-Hermitian effects could endow systems with distinctive spectral and transport properties. In this work, we uncover an intriguing class of non-Hermitian Floquet matter in…

量子物理 · 物理学 2022-08-16 Longwen Zhou , Wenqian Han

We study localization and charge dynamics in a monochromatically driven one-dimensional Anderson insulator focussing on the low-frequency, strong-driving regime. We study this problem using a mapping of the Floquet Hamiltonian to a hopping…

无序系统与神经网络 · 物理学 2017-07-19 Kartiek Agarwal , Sriram Ganeshan , R. N. Bhatt