In the supersymmetric gapped phase of an interacting Majorana chain, the lowest excitations are soliton-antisoliton pairs, each binding a localized Majorana mode that together form a nonlocal Dirac fermion distinguishing even and odd fermion parity states.
Exact ground states of a staggered supersymmetric model for lattice fermions
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abstract
We study a supersymmetric model for strongly interacting lattice fermions in the presence of a staggering parameter. The staggering is introduced as a tunable parameter in the manifestly supersymmetric Hamiltonian. We obtain analytic expressions for the ground states in the limit of small and large staggering for the model on the class of doubly decorated lattices. On this type of lattice there are two ground states, each with a different density. In one limit we find these ground states to be a simple Wigner crystal and a valence bond solid (VBS) state. In the other limit we find two types of quantum liquids. As a special case, we investigate the quantum liquid state on the one dimensional chain in detail. It is characterized by a massless kink that separates two types of order.
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cond-mat.str-el 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Soliton-antisoliton pairs in the supersymmetric gapped phase of an interacting Majorana chain
In the supersymmetric gapped phase of an interacting Majorana chain, the lowest excitations are soliton-antisoliton pairs, each binding a localized Majorana mode that together form a nonlocal Dirac fermion distinguishing even and odd fermion parity states.