English

Exploring phases of the Su-Schrieffer-Heeger model with tSNE

Mesoscale and Nanoscale Physics 2021-03-18 v3 High Energy Physics - Lattice Quantum Physics

Abstract

T-distributed stochastic neighborhood embedding (tSNE) is used as a tool to reveal the phase diagram of the Su-Schrieffer-Heeger model and some of its extended and non-Hermitian variants. Bloch vectors calculated at different points in the parameter space are mapped to a two-dimensional reduced space. The clusters in the reduced space are used to visualize different phase regions included in the input. The tSNE mapping is shown to be effective even in the challenging case of the non-Hermitian extended model where five different phases are present. An example of using wavefunction input, instead of Bloch vectors, is presented also.

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Cite

@article{arxiv.2101.08704,
  title  = {Exploring phases of the Su-Schrieffer-Heeger model with tSNE},
  author = {R. M. Woloshyn},
  journal= {arXiv preprint arXiv:2101.08704},
  year   = {2021}
}

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