# Infinite number of solvable generalizations of XY-chain, with cluster state, and with central charge c = m/2

@article{Minami2017InfiniteNO, title={Infinite number of solvable generalizations of XY-chain, with cluster state, and with central charge c = m/2}, author={Kazuhiko Minami}, journal={Nuclear Physics}, year={2017}, volume={925}, pages={144-160} }

## 11 Citations

### Geometric criterion for solvability of lattice spin systems

- Mathematics, PhysicsPhysical Review B
- 2020

We present a simple criterion for solvability of lattice spin systems on the basis of the graph theory and the simplicial homology. The lattice systems satisfy algebras with graphical…

### Towards Yang-Baxter integrability of quantum crystal melting: From Kagome lattice to vertex models

- Physics
- 2020

### Integrable spin chains and the Clifford group

- MathematicsJournal of Mathematical Physics
- 2022

We construct new families of spin chain Hamiltonians that are local, integrable, and translationally invariant. To do so, we make use of the Clifford group that arises in quantum information theory.…

### Asymptotic Correlations in Gapped and Critical Topological Phases of 1D Quantum Systems

- PhysicsJournal of Statistical Physics
- 2019

Topological phases protected by symmetry can occur in gapped and—surprisingly—in critical systems. We consider non-interacting fermions in one dimension with spinless time-reversal symmetry. It is…

### Honeycomb lattice Kitaev model with Wen–Toric-code interactions, and anyon excitations

- PhysicsNuclear Physics B
- 2019

### Exactly solvable one-dimensional quantum models with gamma matrices.

- PhysicsPhysical review. E
- 2022

In this paper we write exactly solvable generalizations of one-dimensional quantum XY and Ising-like models by using 2^{d}-dimensional gamma matrices as the degrees of freedom on each site. We show…

### Onsager algebra and algebraic generalization of Jordan-Wigner transformation

- MathematicsNuclear Physics B
- 2021

### Generalised Onsager Algebra in Quantum Lattice Models

- MathematicsSciPost Physics
- 2022

The Onsager algebra is one of the cornerstones of exactly solvable models in statistical mechanics. Starting from the generalised Clifford algebra, we demonstrate its relations to the graph…

### Onsager algebra and cluster XY-models in a transverse magnetic field

- Physics
- 2017

The correlation functions of certain $n$-cluster XY models are explicitly expressed in terms of those of the standard Ising chain in transverse field.

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