Stripes, topological order, and deconfinement in a planar t-Jz model

Abstract

We determine the quantum phase diagram of a two-dimensional bosonic t-Jz model as a function of the lattice anisotropy gamma, using a quantum Monte Carlo loop algorithm. We show analytically that the low-energy sectors of the bosonic and the fermionic t-Jz models become equivalent in the limit of small gamma. In this limit, the ground state represents a static stripe phase characterized by a non-zero value of a topological order parameter. This phase remains up to intermediate values of gamma, where there is a quantum phase transition to a phase-segregated state or a homogeneous superfluid with dynamic stripe fluctuations depending on the ratio Jz/t.

arXiv comment4 pages, 5 figures (2 in color). Final version

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Cited by in corpus (6)

• A symmetry principle for Topological Quantum Order
• Exact results on the Kitaev model on a hexagonal lattice: spin states, string and brane correlators, and anyonic excitations
• Phase diagram of anisotropic boson t-J model
• Antiferromagnetic bosonic $t$-$J$ models and their quantum simulation in tweezer arrays
• Effective approach to the Nagaoka regime of the two dimensional t-J model
• Ferromagnetism in a hard-core boson model