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Solitons with irrational charge in a one-dimensional quantum ferroelectric
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We use analytic (mean-field) and density-matrix renormalization group (DMRG) methods to study a simplified one-dimensional version of the SSH-Holstein model of electron-phonon interactions with one electron per site (half filling) where, as a function of the ratio of the two couplings, three distinct insulating phases arise - a site-centered charge-density-wave (CDW), a bond-centered bond-density-wave (BDW), and an intermediate ferroelectric (inversion-symmetry breaking) phase with coexisting CDW and BDW order. In the intermediate phase our DMRG results establish the existence of point-like soliton excitations with irrational charge (that depends on a ratio of coupling constants) and either spin 1/2 or spin 0, and a surprisingly light effective mass.
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Competing Dirac masses in one dimension: Symmetry-enhanced pseudo-first-order transition and deconfined criticality
Competing site and bond electron-phonon couplings in one dimension produce a transition that looks first-order with an emergent U(1) symmetry on finite scales, then becomes a narrow coexistence phase, and quantum phon...
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