Electronic properties of one-dimensional systems with long-range correlated binary potentials

Gong, Lei; Tong, Peiqing; Zhou, Zicong

doi:10.1088/1674-1056/20/8/087102

Chinese Phys. B

2011

DOI: 10.1088/1674-1056/20/8/087102

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Electronic properties of one-dimensional systems with long-range correlated binary potentials

Lei Gong

Peiqing Tong

Zicong Zhou

Abstract: Gong Long-Yan( ) a)c) † , Tong Pei-Qing( ) b) , and Zhou Zi-Cong( ) c)

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Cited by 2 publications

References 30 publications

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Localization in one-dimensional tight-binding model with chaotic binary sequences

Yamada¹

2018

Chaos, Solitons & Fractals

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We have numerically investigated localization properties in the one-dimensional tight-binding model with chaotic binary on-site energy sequences generated by a modified Bernoulli map with the stationary-nonstationary chaotic transition (SNCT). The energy sequences in question might be characterized by their correlation parameter B and the potential strength W. The quantum states resulting from such sequences have been characterized in the two ways: Lyapunov exponent at band centre and the dynamics of the initially localized wavepacket. Specifically, the B−dependence of the relevant Lyapunov exponent's decay is changing from linear to exponential one around the SNCT (B ≃ 2). Moreover, here we show that even in the nonstationary regime, mean square displacement (MSD) of the wavepacket is noticeably suppressed in the long-time limit (dynamical localization). The B−dependence of the dynamical localization lengths determined by the MSD exhibits a clear change in the functional behaviour around SNCT, and its rapid increase gets much more moderate one for B ≥ 2. Moreover we show that the localization dynamics for B > 3/2 deviates from the one-parameter scaling of the localization in the transient region.

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Localization in one-dimensional tight-binding model with chaotic binary sequences

Yamada¹

2018

Chaos, Solitons & Fractals

View full text Add to dashboard Cite

show abstract

Absorption spectra and localization aspects of a one-dimensional model with stretched exponential correlated disorder

Santos

Sales

Moura

2014

Physica A: Statistical Mechanics and its Applications

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Electronic properties of one-dimensional systems with long-range correlated binary potentials

Abstract: Gong Long-Yan( ) a)c) † , Tong Pei-Qing( ) b) , and Zhou Zi-Cong( ) c)

Cited by 2 publications

References 30 publications

Localization in one-dimensional tight-binding model with chaotic binary sequences

Localization in one-dimensional tight-binding model with chaotic binary sequences

Absorption spectra and localization aspects of a one-dimensional model with stretched exponential correlated disorder

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