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We investigate localization properties in a two-coupled uniform chains with quasiperiodic modulation on interchain coupling strength. We demonstrate that this ladder is equivalent to a Aubry-Andre (AA) chain when two legs are symmetric.…

Disordered Systems and Neural Networks · Physics 2021-06-24 R. Wang , X. M. Yang , Z. Song

Electric field induced localization properties of a tight-binding ladder network in presence of backbone sites are investigated. Based on Green's function formalism we numerically calculate two-terminal transport together with density of…

Mesoscale and Nanoscale Physics · Physics 2014-09-23 Paramita Dutta , Santanu K. Maiti , S. N. Karmakar

We investigate magneto-transport properties of a $\theta$ shaped three-arm mesoscopic ring where the upper and lower sub-rings are threaded by Aharonov-Bohm fluxes $\phi_1$ and $\phi_2$, respectively, within a non-interacting electron…

Mesoscale and Nanoscale Physics · Physics 2013-07-02 Srilekha Saha , Santanu K. Maiti , S. N. Karmakar

We show, in a completely analytical way, that a tight binding ladder network composed of atomic sites with on-site potentials distributed according to the quasiperiodic Aubry model can exhibit a metal-insulator transition at multiple values…

Mesoscale and Nanoscale Physics · Physics 2008-08-19 Shreekantha Sil , Santanu K. Maiti , Arunava Chakrabarti

This work reports rich localization-delocalization transitions in a quasiperiodic ladder, of which the two legs are subject to the same quasiperiodic onsite potential but can be shifted laterally relative to each other. It is found that the…

Disordered Systems and Neural Networks · Physics 2026-05-26 Bing Shao , Guangjie Zhang , Longwen Zhou , Jiangbin Gong , Weiwei Zhu

We investigate quantum transport of electrons, phase solitons, etc. through mesoscopic networks of zero-dimensional quantum dots. Straight and circular ladders are chosen as networks with each coupled with three semi-infinite leads (with…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 K. Nakamura , D. Matrasulov , G. Milibaeva , J. Yusupov , U. Salomov , T. Ohta , M. Miyamoto

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…

Mesoscale and Nanoscale Physics · Physics 2020-10-05 Sk Sajid , Arunava Chakrabarti

One way of making the transition between the quasi-long range order in a chain of S=1/2 spins coupled antiferromagnetically and the true long range order that occurs in a plane, is by assembling chains to make ladders of increasing width.…

Condensed Matter · Physics 2009-10-28 E. Dagotto , T. M. Rice

Double stranded quasiperiodic copper mean arrangement has been studied in respect of their electronic property and thermoelectric signature. The two-arm network is demonstrated by a tight binding Hamiltonian. The eigenspectrum of such…

Disordered Systems and Neural Networks · Physics 2019-01-29 Amrita Mukherjee , Atanu Nandy

A tight-binding model of a multi-leg ladder network with a continuous quasiperiodic modulation in both the site potential and the inter-arm hopping integral is considered. The model mimics optical lattices where ultra-cold fermionic or…

Mesoscale and Nanoscale Physics · Physics 2017-05-30 Santanu K. Maiti , Shreekantha Sil , Arunava Chakrabarti

The energy spectra of quasi-one dimensional quasiperiodic ladder networks are analyzed within a tight binding description. In particular, we show that if a selected set of sites in each strand of a ladder is tunnel-coupled to quantum dots…

Disordered Systems and Neural Networks · Physics 2014-03-24 Biplab Pal , Arunava Chakrabarti

We show that a tight-binding one-dimensional chain composed of interacting and non-interacting atomic sites can exhibit multiple mobility edges at different values of carrier energy in presence of external electric field. Within a mean…

Mesoscale and Nanoscale Physics · Physics 2013-03-29 Santanu K. Maiti , Abraham Nitzan

We consider a spin-1/2 fermionic ladder with spin-orbit coupling and a perpendicular magnetic field, which shares important similarities with topological superconducting wires. We fully characterize the symmetry-protected topological phase…

Quantum Gases · Physics 2015-10-02 Leonardo Mazza , Monika Aidelsburger , Hong-Hao Tu , Nathan Goldman , Michele Burrello

Recent experimental progress have revealed Meissner and Vortex phases in low-dimensional ultracold atoms systems. Atomtronic setups can realize ring ladders, while explicitly taking the finite size of the system into account. This enables…

Quantum Gases · Physics 2018-08-08 Tobias Haug , Luigi Amico , Rainer Dumke , Leong-Chuan Kwek

We describe an example of a structurally stable heteroclinic network for which nearby orbits exhibit irregular but sustained switching between the various sub-cycles in the network. The mechanism for switching is the presence of spiralling…

Chaotic Dynamics · Physics 2019-10-03 Vivien Kirk , Emily Lane , Claire M. Postlethwaite , Alastair M. Rucklidge , Mary Silber

Previously, we have shown that the transition probability of the Landau-Zener problem in periodic lattice systems becomes large by taking into account the nonlinearity of the energy spectra, compared with the probability by the conventional…

Mesoscale and Nanoscale Physics · Physics 2018-10-01 Ryuji Takahashi , Naoyuki Sugimoto

We study numerically the linear optical response of a quasiparticle moving on a one-dimensional disordered lattice in the presence of a linear bias. The random site potential is assumed to be long-range-correlated with a power-law spectral…

Disordered Systems and Neural Networks · Physics 2007-05-23 E. Diaz , F. Dominguez-Adame , Yu. A. Kosevich , V. A. Malyshev

Sil, Maiti, and Chakrabarti (SMC) (Phys. Rev. Lett. 101, 076803 (2008), arXiv:0801.2670) introduce an aperiodic two-leg ladder network composed of atomic sites with on-site potentials distributed according to a quasiperiodic Aubry-Andre…

Disordered Systems and Neural Networks · Physics 2014-02-13 Sergej Flach , Carlo Danieli

We study the localization transitions for coupled one-dimensional lattices with quasiperiodic potential. Besides the localized and extended phases there is an intermediate mixed phase which can be easily explained decoupling the system so…

Disordered Systems and Neural Networks · Physics 2019-05-21 M. Rossignolo , L. Dell'Anna

As an important class of systems with unique topological effects beyond the periodic lattices, quasiperiodic topological structures have attracted much attention in recent years. Due to the quasiperiodic modulation, the topological states…

Applied Physics · Physics 2020-08-25 Juan Song , Fengqing Yang , Zhiwei Guo , Youqi Chen , Haitao Jiang , Yunhui Li , Hong Chen
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