Trion states and quantum criticality of attractive SU(3) Dirac fermions
We perform the projector quantum Monte Carlo (QMC) simulation to study the trion formation and quantum phase transition in the half filled attractive SU(3) Hubbard model on a honeycomb lattice. With increasing attractive Hubbard interaction, our simulations demonstrate a continuous quantum phase tra...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2023-06-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.5.023180 |
| _version_ | 1797210473911812096 |
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| author | Han Xu Xiang Li Zhichao Zhou Xin Wang Lei Wang Congjun Wu Yu Wang |
| author_facet | Han Xu Xiang Li Zhichao Zhou Xin Wang Lei Wang Congjun Wu Yu Wang |
| author_sort | Han Xu |
| collection | DOAJ |
| description | We perform the projector quantum Monte Carlo (QMC) simulation to study the trion formation and quantum phase transition in the half filled attractive SU(3) Hubbard model on a honeycomb lattice. With increasing attractive Hubbard interaction, our simulations demonstrate a continuous quantum phase transition from the semimetal to charge-density wave (CDW) at the critical coupling U_{c}/t=−1.52(2). The critical exponents ν=0.82(3) and η=0.58(4) determined by the QMC simulation remarkably disagree with those of the N=3 chiral Ising universality class suggested by the effective Gross-Neveu-Yukawa (GNY) theory, but coincide with the N=1 chiral Ising universality class. In the CDW phase, we show that on-site and off-site trions coexist and the off-site trion forms a local bond state. Our work not only illustrates the formation of off-site trions in two-dimensional Hubbard model but also raises doubts about the extent of applicability of GNY model on attractive SU(3) Dirac fermions. |
| first_indexed | 2024-04-24T10:11:10Z |
| format | Article |
| id | doaj.art-e3d284b86bd243cdb471c9d3d9d161da |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:11:10Z |
| publishDate | 2023-06-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-e3d284b86bd243cdb471c9d3d9d161da2024-04-12T17:31:56ZengAmerican Physical SocietyPhysical Review Research2643-15642023-06-015202318010.1103/PhysRevResearch.5.023180Trion states and quantum criticality of attractive SU(3) Dirac fermionsHan XuXiang LiZhichao ZhouXin WangLei WangCongjun WuYu WangWe perform the projector quantum Monte Carlo (QMC) simulation to study the trion formation and quantum phase transition in the half filled attractive SU(3) Hubbard model on a honeycomb lattice. With increasing attractive Hubbard interaction, our simulations demonstrate a continuous quantum phase transition from the semimetal to charge-density wave (CDW) at the critical coupling U_{c}/t=−1.52(2). The critical exponents ν=0.82(3) and η=0.58(4) determined by the QMC simulation remarkably disagree with those of the N=3 chiral Ising universality class suggested by the effective Gross-Neveu-Yukawa (GNY) theory, but coincide with the N=1 chiral Ising universality class. In the CDW phase, we show that on-site and off-site trions coexist and the off-site trion forms a local bond state. Our work not only illustrates the formation of off-site trions in two-dimensional Hubbard model but also raises doubts about the extent of applicability of GNY model on attractive SU(3) Dirac fermions.http://doi.org/10.1103/PhysRevResearch.5.023180 |
| spellingShingle | Han Xu Xiang Li Zhichao Zhou Xin Wang Lei Wang Congjun Wu Yu Wang Trion states and quantum criticality of attractive SU(3) Dirac fermions Physical Review Research |
| title | Trion states and quantum criticality of attractive SU(3) Dirac fermions |
| title_full | Trion states and quantum criticality of attractive SU(3) Dirac fermions |
| title_fullStr | Trion states and quantum criticality of attractive SU(3) Dirac fermions |
| title_full_unstemmed | Trion states and quantum criticality of attractive SU(3) Dirac fermions |
| title_short | Trion states and quantum criticality of attractive SU(3) Dirac fermions |
| title_sort | trion states and quantum criticality of attractive su 3 dirac fermions |
| url | http://doi.org/10.1103/PhysRevResearch.5.023180 |
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