Lange, Hannah and Bohler, Annika and Roth, Christopher and Bohrdt, Annabelle (2025) Simulating the Two-Dimensional t-J Model at Finite Doping with Neural Quantum States. PHYSICAL REVIEW LETTERS, 135 (13): 136504. ISSN 0031-9007, 1079-7114
Full text not available from this repository. (Request a copy)Abstract
Simulating large, strongly interacting fermionic systems remains a major challenge for existing numerical methods. In this Letter, we introduce Gutzwiller projected hidden fermion determinant states (G-HFDS) to simulate the strongly interacting limit of the Fermi-Hubbard model, namely the t-J model, across the entire doping regime. We demonstrate that the G-HFDS achieve energies competitive with matrix product states on lattices as large as 10 x 10 sites while using several orders of magnitude fewer parameters, suggesting the potential for efficient application to even larger system sizes. This remarkable efficiency enables us to probe low-energy physics across the full doping range, providing new insights into the competition between kinetic and magnetic interactions and the nature of emergent quasiparticles. Starting from the low-doping regime, where magnetic polarons dominate the low energy physics, we track their evolution with increasing doping and different next-nearest neighbor hopping amplitudes through analyses of spin and polaron correlation functions as well as the Fermi surface. Our findings demonstrate the potential of determinant-based neural quantum states with an inherent fermionic sign structure, opening the way for simulating large-scale fermionic systems at any particle filling.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | MANY-BODY PROBLEM; HOLE; SUPERCONDUCTIVITY; EXCITATIONS; DENSITY; MOTION; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Grifoni > Group Milena Grifoni |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 23 Apr 2026 09:09 |
| Last Modified: | 23 Apr 2026 09:09 |
| URI: | https://pred.uni-regensburg.de/id/eprint/67597 |
Actions (login required)
 |
View Item |
