A promising method for strongly correlated electrons in two dimensions: Gutzwiller-guided Density Matrix Renormalization Group
Abstract The study of strongly correlated electron systems remains a fundamental challenge in condensed matter physics, particularly in two-dimensional (2D) systems hosting various exotic phases of matter including quantum spin liquids, unconventional superconductivity, and topological orders. Altho...
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| Format: | Article |
| Language: | English |
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Springer
2025-06-01
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| Series: | AAPPS Bulletin |
| Online Access: | https://doi.org/10.1007/s43673-025-00156-8 |
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| author | Hui-Ke Jin Rong-Yang Sun Hong-Hao Tu Yi Zhou |
| author_facet | Hui-Ke Jin Rong-Yang Sun Hong-Hao Tu Yi Zhou |
| author_sort | Hui-Ke Jin |
| collection | DOAJ |
| description | Abstract The study of strongly correlated electron systems remains a fundamental challenge in condensed matter physics, particularly in two-dimensional (2D) systems hosting various exotic phases of matter including quantum spin liquids, unconventional superconductivity, and topological orders. Although Density Matrix Renormalization Group (DMRG) has established itself as a pillar for simulating one-dimensional quantum systems, its application to 2D systems has long been hindered by the notorious “local minimum” issues. Recent methodological breakthroughs have addressed this challenge by incorporating Gutzwiller-projected wave functions as initial states for DMRG simulations. This hybrid approach, referred to as DMRG guided by Gutzwiller-projected wave functions (or Gutzwiller-guided DMRG), has demonstrated remarkable improvements in accuracy, efficiency, and the ability to explore exotic quantum phases such as topological orders. This review examines the theoretical underpinnings of this approach, details key algorithmic developments, and showcases its applications in recent studies of 2D quantum systems. |
| format | Article |
| id | doaj-art-09afb3355a2f42f089d44faf3f7ffd96 |
| institution | OA Journals |
| issn | 2309-4710 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Springer |
| record_format | Article |
| series | AAPPS Bulletin |
| spelling | doaj-art-09afb3355a2f42f089d44faf3f7ffd962025-08-20T02:35:40ZengSpringerAAPPS Bulletin2309-47102025-06-0135111310.1007/s43673-025-00156-8A promising method for strongly correlated electrons in two dimensions: Gutzwiller-guided Density Matrix Renormalization GroupHui-Ke Jin0Rong-Yang Sun1Hong-Hao Tu2Yi Zhou3State Key Laboratory of Quantum Functional Materials, School of Physical Science and Technology, ShanghaiTech UniversityRIKEN Interdisciplinary Theoretical and Mathematical Sciences Program (iTHEMS), RIKENFaculty of Physics and Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universität MünchenInstitute of Physics, Chinese Academy of SciencesAbstract The study of strongly correlated electron systems remains a fundamental challenge in condensed matter physics, particularly in two-dimensional (2D) systems hosting various exotic phases of matter including quantum spin liquids, unconventional superconductivity, and topological orders. Although Density Matrix Renormalization Group (DMRG) has established itself as a pillar for simulating one-dimensional quantum systems, its application to 2D systems has long been hindered by the notorious “local minimum” issues. Recent methodological breakthroughs have addressed this challenge by incorporating Gutzwiller-projected wave functions as initial states for DMRG simulations. This hybrid approach, referred to as DMRG guided by Gutzwiller-projected wave functions (or Gutzwiller-guided DMRG), has demonstrated remarkable improvements in accuracy, efficiency, and the ability to explore exotic quantum phases such as topological orders. This review examines the theoretical underpinnings of this approach, details key algorithmic developments, and showcases its applications in recent studies of 2D quantum systems.https://doi.org/10.1007/s43673-025-00156-8 |
| spellingShingle | Hui-Ke Jin Rong-Yang Sun Hong-Hao Tu Yi Zhou A promising method for strongly correlated electrons in two dimensions: Gutzwiller-guided Density Matrix Renormalization Group AAPPS Bulletin |
| title | A promising method for strongly correlated electrons in two dimensions: Gutzwiller-guided Density Matrix Renormalization Group |
| title_full | A promising method for strongly correlated electrons in two dimensions: Gutzwiller-guided Density Matrix Renormalization Group |
| title_fullStr | A promising method for strongly correlated electrons in two dimensions: Gutzwiller-guided Density Matrix Renormalization Group |
| title_full_unstemmed | A promising method for strongly correlated electrons in two dimensions: Gutzwiller-guided Density Matrix Renormalization Group |
| title_short | A promising method for strongly correlated electrons in two dimensions: Gutzwiller-guided Density Matrix Renormalization Group |
| title_sort | promising method for strongly correlated electrons in two dimensions gutzwiller guided density matrix renormalization group |
| url | https://doi.org/10.1007/s43673-025-00156-8 |
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