Mode delocalization in disordered photonic Chern insulator

Chattopadhyay, Udvas; Mittal, Sunil; Hafezi, Mohammad; Chong, Yidong

doi:10.1103/physrevb.103.214201

Cited by 4 publications

(1 citation statement)

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“…This shows that there is always some quasi delocalized wave functions whose contributions to the entanglement entropy depend on the very nature of the wave functions and the subsystem. It may be noted that such delocalized wave function has been experimentally observed in disordered Chern insulators [49]. Interestingly entanglement entropy shows a local minima at B = π for disordered case but shows a local maxima in the presence of interaction.…”

Section: Effect Of Interaction and Disorder On Entanglementsupporting

confidence: 52%

Interacting fermions in two dimension in simultaneous presence of disorder and magnetic field

Mandal¹,

Gupta²

2022

J. Phys.: Condens. Matter

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We study the revival of Hofstadter butterfly due to the competition between disorder and elec- tronic interaction using mean field approximation of unrestricted Hartree Fock method at zero tem- perature for two dimensional square and honeycomb lattices. Interplay of disorder and electronic correlation to nullify each other is corroborated by the fact that honeycomb lattice needs more strength of electronic correlation owing to its less co-ordination number which enhances the effect of disorder. The extent of revival of the butterfly is better in square lattice than honeycomb lattice due to higher coordination number. The effect of disorder and interaction is also investigated to study entanglement entropy and entanglement spectrum. We find that for honeycomb lattice area law of entanglement entropy is obeyed in all cases but for square lattice there is some departure from area law for larger subsystems. The entanglement spectrum have the reflection symmetry of the original butterfly of the Hofstadter spectrum. The interaction induces a gap in the entanglement spectrum as well conforming the correspondence between physical spectrum and entanglement spectrum. The effect of disorder closes the interaction induced gap in the entanglement spectrum establishing the nullification of interaction due to disorder and vice versa

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Section: Effect Of Interaction and Disorder On Entanglementsupporting

confidence: 52%