Kavli Affiliate: Natalia Chepiga
| First 5 Authors: Julien Fitouchi, Julien Fitouchi, , ,
| Summary:
We investigate the zero-magnetization phase diagram of a spin-1/2 chain with
competing ferromagnetic nearest-neighbor and antiferromagnetic
next-nearest-neighbor exchange couplings in the strongly interacting regime.
Using density matrix renormalization group (DMRG) simulations, we discover two
successive commensurate-incommensurate transitions of the non-conformal
Pokrovsky-Talapov universality class, occurring (even) at zero magnetic field.
The first transition marks the condensation of bound pairs of magnons into a
critical phase with central charge $c=2$, emerging from a gapped period-4
phase. At the second transition, an incommensurate quadrupolar (or nematic)
Luttinger liquid forms out of a gapped phase separation state, via the pairwise
condensation of domain walls. We argue that both transitions involve the same
underlying incommensurate nematic Luttinger liquid, and that the $c=2$ phase
can be understood as a coexistence of a conventional (single-magnon type) and
quadrupolar (two-magnon type) Luttinger liquids. Our results demonstrate that
frustration alone is sufficient to drive continuous commensurate-incommensurate
transitions of Mott type and stabilise incommensurate quasi-long-range order
without doping.
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