TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.7.2.028
TI  - Quantum Monte Carlo simulation of the 3D Ising transition on the fuzzy sphere
PY  - 2024/05/09
UR  - https://www.scipost.org/SciPostPhysCore.7.2.028
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 7
IS  - 2
SP  - 028
A1  - Hofmann, Johannes Stephan
AU  - Goth, Florian
AU  - Zhu, Wei
AU  - He, Yin-Chen
AU  - Huffman, Emilie
AB  - We present a numerical quantum Monte Carlo (QMC) method for simulating the 3D phase transition on the recently proposed fuzzy sphere [Phys. Rev. X 13, 021009 (2023)]. By introducing an additional SU(2) layer degree of freedom, we reformulate the model into a form suitable for sign-problem-free QMC simulation. From the finite-size-scaling, we show that this QMC-friendly model undergoes a quantum phase transition belonging to the 3D Ising universality class, and at the critical point we compute the scaling dimensions from the state-operator correspondence, which largely agrees with the prediction from the conformal field theory. These results pave the way to construct sign-problem-free models for QMC simulations on the fuzzy sphere, which could advance the future study on more sophisticated criticalities.
ER  -

@Article{10.21468/SciPostPhysCore.7.2.028,
	title={{Quantum Monte Carlo simulation of the 3D Ising transition on the fuzzy sphere}},
	author={Johannes Stephan Hofmann and Florian Goth and Wei Zhu and Yin-Chen He and Emilie Huffman},
	journal={SciPost Phys. Core},
	volume={7},
	pages={028},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.7.2.028},
	url={https://scipost.org/10.21468/SciPostPhysCore.7.2.028},
}