Topologically bound states, non-Hermitian skin effect and flat bands, induced by two-particle interaction

• URL: http://arxiv.org/abs/2211.06043v2
• Date: Sun, 27 Nov 2022 09:50:52 GMT
• Title: Topologically bound states, non-Hermitian skin effect and flat bands, induced by two-particle interaction
• Authors: Alexander N. Poddubny
• Abstract summary: We study theoretically repelling quantum states of two spinless particles in a one-dimensional tight-binding model. We demonstrate, that when the particles are not identical, their interaction drives nontrivial correlated two-particle states.
• Score: 91.3755431537592
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study theoretically quantum states of two repelling spinless particles in a one-dimensional tight-binding model with simple periodic lattice and open boundary conditions. We demonstrate, that when the particles are not identical, their interaction drives nontrivial correlated two-particle states, such as bound states, edge states as well as interaction-induced flat bands. Specifically, the center-of-mass and relative motions of two particles become coupled in a topologically nontrivial way. By virtue of the non-Hermitian skin effect the localization of the center of mass enforces the localization of the relative motion and formation of the bound states.

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