Nematic quantum liquid crystals of bosons in frustrated lattices

@article{Zhu2016NematicQL,
  title={Nematic quantum liquid crystals of bosons in frustrated lattices},
  author={Guanyu Zhu and Jens Koch and Ivar Martin},
  journal={Physical Review B},
  year={2016},
  volume={93},
  pages={144508}
}
The problem of interacting bosons in frustrated lattices is an intricate one due to the absence of a unique minimum in the single-particle dispersion wheremacroscopic number of bosons can condense. Here, we consider a family of tight-binding models with macroscopically degenerate lowest energy bands, separated from other bands by a gap. We predict the formation of exotic states that spontaneously break rotational symmetry at relatively low filling. These states belong to three nematic phases… Expand
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References

SHOWING 1-10 OF 43 REFERENCES
Chiral bosonic Mott insulator on the frustrated triangular lattice
We study the superfluid and insulating phases of interacting bosons on the triangular lattice with an inverted dispersion, corresponding to frustrated hopping between sites. The resultingExpand
Superfluidity of bosons in kagome lattices with frustration.
TLDR
It is established that this trion superfluid exists in a broad temperature regime until the temperature is increased to the same order of hopping and then the system turns into normal phases, and time-of-flight measurement of the momentum distribution and its noise correlation can be used to distinguish these three phases. Expand
Gauge fields for ultracold atoms in optical superlattices
We present a scheme that produces a strong U(1)-like gauge field on cold atoms confined in a two-dimensional square optical lattice. Our proposal relies on two essential features, a long-livedExpand
Wannier permanent wave functions for featureless bosonic mott insulators on the 1/3-filled kagome lattice.
TLDR
Surprisingly, it is demonstrated that a featureless insulator is a possible alternative and is the exact ground state of a local Hamiltonian that is constructed at 1/3 site filling. Expand
Bose condensation in flat bands
We derive effective Hamiltonians for lattice bosons with strong geometrical frustration of the kinetic energy by projecting the interactions on the flat lowest Bloch band. Specifically, we considerExpand
Absence of Bose condensation on lattices with moat bands
We study hard-core bosons on a class of frustrated lattices with the lowest Bloch band having a degenerate minimum along a closed contour, the moat, in the reciprocal space. We show that at smallExpand
Experimental realization of the topological Haldane model with ultracold fermions
TLDR
The experimental realization of the Haldane model and the characterization of its topological band structure are reported, using ultracold fermionic atoms in a periodically modulated optical honeycomb lattice and a direct extension to realize spin-dependent topological Hamiltonians is proposed. Expand
Electronic liquid-crystal phases of a doped Mott insulator
The character of the ground state of an antiferromagnetic insulator is fundamentally altered following addition of even a small amount of charge. The added charge is concentrated into domain wallsExpand
Flat bands and Wigner crystallization in the honeycomb optical lattice.
TLDR
The ground states of cold atoms in the tight-binding bands built from p orbitals on a two dimensional honeycomb optical lattice are studied, finding crystalline order at n=1/6 with a sqrt[3] x sqrt,[3] structure breaking a number of discrete lattice symmetries. Expand
High Field Properties of Geometrically Frustrated Magnets
Above the saturation field, geometrically frustrated quantum antiferromagnets have dispersionless low-energy branches of excitations corresponding to localized spin-flip modes. Transition into aExpand
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