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We define a new class of "diagonal" t-J ladders rotated by $\pi$/4 relativeto the canonical lattice directions of the square lattice, and study it usingdensity matrix renormalization group (DMRG). Here, we focus on the two-legcylinder with a doped hole concentration near x = 1/4. At exactly x = 1/4, thesystem forms a period 4 charge density wave (CDW) and exhibits spin-chargeseparation. Slightly away from 1/4 doping we observe several topologicallydistinct types of solitons with well defined fractionalized quantum numbers.Remarkably, given the absence of any obvious small parameter, the effectivemasses of the emergent solitons differ by several orders of magnitude.

Fractional charge and emergent mass hierarchy in diagonal two-leg t-J cylinders