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Bose–Einstein condensation in one-dimensional systems with short-range correlated disordered on-site potentials

  • Regular Article – Statistical and Nonlinear Physics
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Abstract

We study Bose–Einstein condensation (BEC) in one-dimensional tight-binding systems with two kinds of short-range correlated disordered on-site energy sequences (OSESs). One is the chaotic sequence generated by the modified Bernoulli map, the other is the random-dimer sequence. For these two kinds of short-range correlated systems, we consider binary and non-binary versions of sequences. It is found that BEC can occur in these systems at finite temperature and their transition temperatures (\(T_{C}s\)) increase with the potential strength w. Moreover, the \(T_{C}s\) of the systems with non-binary OSESs are greater than those of the binary ones. And the \(T_{C}\) increases with the correlation parameter B (\(0<B\le 1\)) for the chaotic system. Compared with the uncorrelated disordered system, the introduction of correlation decreases the \(T_{C}\) for the chaotic binary system, while for the non-binary system that increases the \(T_{C}\) in the \(0.6<B\le 1\) region and decreases it in the remaining short-range correlated regions. The results for the random-dimer system are similar to those for the chaotic system in the \(0.6<B\le 1\) region.

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Data availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: The data that support the findings of this study are available from the corresponding author upon reasonable request.]

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Acknowledgements

The work is supported by the National Natural Science Foundation of China (Grant No. 11975126). We are grateful to Dr. Zhichao Zhou for his critical reading of this manuscript.

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Authors and Affiliations

  1. Department of Physics and Institute of Theoretical Physics, Nanjing Normal University, Nanjing, 210023, People’s Republic of China

    Wanwan Shi & Peiqing Tong

  2. Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems, Nanjing Normal University, Nanjing, 210023, People’s Republic of China

    Peiqing Tong

  3. Nanjing Normal University Taizhou College, Taizhou, 225300, People’s Republic of China

    Peiqing Tong

Authors
  1. Wanwan Shi
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Contributions

All authors contributed to the study conception and design. Wanwan Shi completes data simulations and analysis, and writes the first draft of the paper. Peiqing Tong guides the design, data analysis, thesis writing and revision of this research. All authors read and approved the final manuscript.

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Correspondence to Peiqing Tong.

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Shi, W., Tong, P. Bose–Einstein condensation in one-dimensional systems with short-range correlated disordered on-site potentials. Eur. Phys. J. B 95, 137 (2022). https://doi.org/10.1140/epjb/s10051-022-00399-6

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