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Exotic Gapless Mott Insulators of Bosons on Multi-Leg Ladders · Around

2010

Exotic Gapless Mott Insulators of Bosons on Multi-Leg Ladders

Block, Matthew S., Mishmash, Ryan V., Kaul, Ribhu K. et al.

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We present evidence for an exotic gapless insulating phase of hard-core bosons on multi-leg ladders with a density commensurate with the number of legs.

In particular, we study in detail a model of bosons moving with direct hopping and frustrating ring exchange on a 3-leg ladder at $\nu=1/3$ filling.
For sufficiently large ring exchange, the system is insulating along the ladder but has two gapless modes and power law transverse density correlations at incommensurate wave vectors.
We propose a determinantal wave function for this phase and find excellent comparison between variational Monte Carlo and density matrix renormalization group calculations on the model Hamiltonian, thus providing strong evidence for the existence of this exotic phase.

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See supplemental material at http://link.aps.org/ supplemental/10.1103/PhysRevLett.106.046402 for an analysis of one-boson, two-boson, and spectral gaps
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R. V. Mishmash, M. S. Block, R. K. Kaul, D. N. Sheng, O. I. Motrunich, and M. P. A. Fisher (to be published)
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