English

First Order Topological Phase Transitions and Disorder Induced Majorana Modes in Interacting Fermion Chains

Strongly Correlated Electrons 2023-03-29 v1

Abstract

Using a combination of the mean-field Bogoliubov deGennes (BdG) approach and the Density Matrix Renormalization Group (DMRG) method, we discover first order topological transitions between topological superconducting and trivial insulating phases in a sawtooth lattice of inter-site attractive fermions. Topological characterization of different phases is achieved in terms of winding numbers, Majorana edge modes and entanglement spectra. By studying the effect of disorder on the first order topological phase transitions, we establish the disorder-induced topological phase coexistence as a mechanism for generating a finite density of Majorana particles.

Keywords

Cite

@article{arxiv.2204.06306,
  title  = {First Order Topological Phase Transitions and Disorder Induced Majorana Modes in Interacting Fermion Chains},
  author = {Shruti Agarwal and Shreekant Gawande and Satoshi Nishimoto and Jeroen van den Brink and Sanjeev Kumar},
  journal= {arXiv preprint arXiv:2204.06306},
  year   = {2023}
}

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