Unifying Kitaev Magnets, Kagomé Dimer Models, and Ruby Rydberg Spin Liquids

  title={Unifying Kitaev Magnets, Kagom{\'e} Dimer Models, and Ruby Rydberg Spin Liquids},
  author={Ruben Verresen and Ashvin Vishwanath},
  journal={Physical Review X},

Topological Quantum Dimers Emerging from Kitaev Spin Liquid Bilayer: Anyon Condensation Transition

We present a bilayer spin model that illuminates the mechanism of topological anyon condensation transition. Our model harbors two distinct topological phases, Kitaev spin liquid bilayer state and

Chiral Fibonacci spin liquid in a $\mathbb{Z}_3$ Kitaev model

We study a $\mathbb{Z}_3$ Kitaev model on the honeycomb lattice with nearest neighbor interactions. Based on matrix product state simulations and symmetry considerations, we find evidence that, with

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The exploration of topologically-ordered states of matter is a long-standing goal at the interface of several subfields of the physical sciences. Such states feature intriguing physical properties

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We prove that the motion of a single hole induces the nearest-neighbor resonating-valence-bond (RVB) ground state in the U = ∞ Hubbard model on a triangular cactus – a tree-like variant of a kagome

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In recent years, programmable Rydberg atom arrays have been widely used to simulate new quantum phases and phase transitions, generating great interest among theorists and experimentalists. Based on



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Spin-dimerized states are useful in the construction of spin-disordered wave functions but difficult to deal with because of nonorthogonality. For the spin-1/2 [ital kagome]$[ital aa]---

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Anyons in an exactly solved model and beyond

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We establish the existence of a chiral spin liquid (CSL) as the exact ground state of the Kitaev model on a decorated honeycomb lattice, which is obtained by replacing each site in the familiar

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  • Physics
    Physical review. B, Condensed matter
  • 1993
A formulation of numerical real-space renormalization groups for quantum many-body problems is presented and several algorithms utilizing this formulation are outlined, which can be applied to almost any one-dimensional quantum lattice system, and can provide a wide variety of static properties.

Density matrix formulation for quantum renormalization groups.

  • White
  • Physics
    Physical review letters
  • 1992
A generalization of the numerical renormalization-group procedure used first by Wilson for the Kondo problem is presented. It is shown that this formulation is optimal in a certain sense. As a

Superconductivity and the quantum hard-core dimer gas.

On discute du systeme de liaisons de valence resonnantes a courte distance realise par un gaz de dimeres a cœur dur quantique de densite arbitraire sur un reseau carre a deux dimensions. Quand les

Fault tolerant quantum computation by anyons

Science 374

  • 1242–1247
  • 2021