Quantum Monte Carlo simulation of the 3D Ising transition on the fuzzy sphere
Johannes Stephan Hofmann, Florian Goth, Wei Zhu, Yin-Chen He, Emilie Huffman
SciPost Phys. Core 7, 028 (2024) · published 9 May 2024
- doi: 10.21468/SciPostPhysCore.7.2.028
- Submissions/Reports
Abstract
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.
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Johannes Stephan Hofmann,
- 2 Florian Goth,
- 3 Wei Zhu,
- 4 Yin-Chen He,
- 4 Emilie Huffman
- 1 Weizmann Institute of Science
- 2 Julius-Maximilians-Universität Würzburg / University of Würzburg
- 3 西湖大学 / Westlake University [WIAS]
- 4 Perimeter Institute [PI]
- Deutsche Forschungsgemeinschaft / German Research FoundationDeutsche Forschungsgemeinschaft [DFG]
- European Research Council [ERC]
- Government of Ontario
- Irving and Cherna Moskowitz Center for Nano and Bio-nano Imaging, Weizmann Institute of Science
- Ministry of Colleges and Universities
- National Natural Science Foundation of China [NSFC]
- National Science Foundation [NSF]
- United States - Israel Binational Science Foundation (through Organization: United States-Israel Binational Science Foundation [BSF])
- Westlake University