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Highly Entangled 2D Ground States: Tensor Networks and Correlation Functions
by Olai B. Mykland, Zhao Zhang
Submission summary
| Authors (as registered SciPost users): | Zhao Zhang |
| Submission information | |
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| Preprint Link: | scipost_202503_00047v1 (pdf) |
| Date submitted: | March 25, 2025, 12:16 p.m. |
| Submitted by: | Zhang, Zhao |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
In this article we present analytical results on the exact tensor network representations and correlation functions of the first examples of 2D ground states with quantum phase transitions between area law and extensive entanglement entropy. The tensor networks constructed are one dimension higher than the lattices of the physical systems, allowing entangled physical degrees of freedoms to be paired with one another arbitrarily far away. Contraction rules of the internal legs are specified by a simple translationally invariant set of rules in terms of the tessellation of cubes or prisms in 3D space. The networks directly generalize the previous holographic tensor networks for 1D Fredkin and Motzkin chains. We also analyze the correlation in the spin and color sectors from the scaling of the height function of random surfaces, revealing additional characterizations of the exotic phase transitions.
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