# Semionic resonating valence bond states

@article{Iqbal2014SemionicRV, title={Semionic resonating valence bond states}, author={Mohsin Iqbal and Didier Poilblanc and Norbert Schuch}, journal={Physical Review B}, year={2014}, volume={90}, pages={115129} }

The nature of the kagome Heisenberg antiferromagnet (HAFM) is under ongoing debate. While recent evidence points towards a Z_2 topological spin liquid, the exact nature of the topological phase is still unclear. In this paper, we introduce semionic Resonating Valence Bond (RVB) states, this is, Resonating Valence Bond states which are in the Z_2 ordered double-semion phase, and study them using Projected Entangled Pair States (PEPS). We investigate their physics and study their suitability as…

## 9 Citations

### Topological Z2 resonating-valence-bond quantum spin liquid on the ruby lattice

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We construct a short-range resonating valence-bond state (RVB) on the ruby lattice, using projected entangled-pair states (PEPS) with bond dimension $D=3$. By introducing non-local moves to the dimer…

### Study of anyon condensation and topological phase transitions from a Z4 topological phase using the projected entangled pair states approach

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We use Projected Entangled Pair States (PEPS) to study topological quantum phase transitions. The local description of topological order in the PEPS formalism allows us to set up order parameters…

### Study of anyon condensation and topological phase transitions from a Z 4 topological phase using Projected Entangled Pair States

- Physics
- 2018

We use Projected Entangled Pair States (PEPS) to study topological quantum phase transitions. The local description of topological order in the PEPS formalism allows us to set up order parameters…

### Tensor Network States, Entanglement, and Anomalies of Topological Phases of Matters

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- 2020

This dissertation investigates two aspects of topological phases of matter: 1) the tensor network state (TNS) representations of the ground states as well as their entanglement entropies of gapped…

### Evidence for deconfined U(1) gauge theory at the transition between toric code and double semion

- PhysicsPhysical Review B
- 2021

Author(s): Dupont, Maxime; Gazit, Snir; Scaffidi, Thomas | Abstract: Building on quantum Monte Carlo simulations, we study the phase diagram of a one-parameter Hamiltonian interpolating between…

### Entanglement entropy from tensor network states for stabilizer codes

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- 2018

This paper uses the TNS formalism to obtain the entanglement spectrum and entropy of these ground-states for some special cuts of 3D stabilizer codes, and conjecture that the negative linear correction to the area law is a signature of extensive ground state degeneracy.

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

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### Gapped SU(3) spin liquid with Z3 topological order

- PhysicsPhysical Review B
- 2019

We construct a topological spin liquid (TSL) model on the kagome lattice, with SU(3) symmetry with the fundamental representation at each lattice site, based on Projected Entangled Pair States…

### Tensor Network Wavefunctions for Topological Phases

- Physics
- 2017

Author(s): Ware, Brayden Alexander | Advisor(s): Bauer, Bela; Nayak, Chetan | Abstract: The combination of quantum effects and interactions in quantum many-body systems can result in exotic phases…