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   https://doi.org/10.1103/PhysRevB.107.104302  

   Gao, Chunping; Tang, Zheng; Zhu, Fei; Zhang, Yunbo; Pu, Han; Chen, Li (March 2023, Physical Review B)
2. Developing fractional quantum Hall states at $\nu =\frac{1}{7}$ and $\nu =\frac{2}{11}$ in the presence of significant Landau-level mixing

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   Singh, Siddharth Kumar; Gupta, A; Madathil, P T; Wang, C; Baldwin, K W; Pfeiffer, L N; Shayegan, M (October 2024, Physical Review B)
3. Quantum simulation of the spin- $\frac{1}{2}$ XYZ model using solid-state spin centers

   https://doi.org/10.1103/PhysRevB.110.014413  

   Losey, Troy; Candido, Denis R; Zhang, Jin; Meurice, Y; Flatté, Michael E; Tsai, S-W (July 2024, Physical Review B)

   In this work we propose a solid-state platform for creating quantum simulators based on implanted spin centers in semiconductors. We show that under the presence of an external magnetic field, an array of 𝑆=1 spin centers interacting through magnetic dipole-dipole interaction can be mapped into an effective spin-half system equivalent to the XYZ model in an external magnetic field. Interestingly, this system presents a wide range of quantum phases and critical behaviors that can be controlled via magnetic field and orientational arrangement of the spin centers. We demonstrate our interacting spin chain can be tuned to both isotropic Heisenberg model and transverse-field Ising universality class. Notably, our model contains a line where the system is in a critical floating phase that terminates at Berezinskii-Kosterlitz-Thouless and Pokrovsky-Talapov transition points. We propose this system as a solid-state quantum simulator for the floating phase based on spin centers. 

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4. Spin fractionalization and zero modes in the spin- $\frac{1}{2}$ XXZ chain with boundary fields

   https://doi.org/10.1103/thlq-h58t  

   Pasnoori, Parameshwar R; Tang, Yicheng; Lee, Junhyun; Pixley, J H; Andrei, Natan; Azaria, Patrick (August 2025, Physical Review B)
5. Numerical investigations of SO(4) emergent extended symmetry in spin- $\frac{1}{2}$ Heisenberg antiferromagnetic chains

   https://doi.org/10.1103/PhysRevB.98.014414  

   Patil, Pranay; Katz, Emanuel; Sandvik, Anders W. (July 2018, Physical Review B)