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

Jeroen van den Brink; Sanjeev Kumar; Satoshi Nishimoto; Shreekant Gawande; Shruti Agarwal

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

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arxiv 2204.06306 v1 pith:BQ7JDEGX submitted 2022-04-13 cond-mat.str-el

Shruti Agarwal , Shreekant Gawande , Satoshi Nishimoto , Jeroen van den Brink , Sanjeev Kumar This is my paper · ORCID

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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.

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