Ab initio derivation and exact diagonalization analysis of low-energy effective Hamiltonians for β^{′}-X[Pd(dmit)_{2}]_{2}
The molecular solids β^{′}-X[Pd(dmit)_{2}]_{2} (where X represents a cation) are typical compounds whose electronic structures are described by single-orbital Hubbard-type Hamiltonians with geometrical frustration. Using the ab initio downfolding method, we derive the low-energy effective Hamiltonia...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2021-12-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.3.043224 |
| _version_ | 1827285564535078912 |
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| author | Kazuyoshi Yoshimi Takao Tsumuraya Takahiro Misawa |
| author_facet | Kazuyoshi Yoshimi Takao Tsumuraya Takahiro Misawa |
| author_sort | Kazuyoshi Yoshimi |
| collection | DOAJ |
| description | The molecular solids β^{′}-X[Pd(dmit)_{2}]_{2} (where X represents a cation) are typical compounds whose electronic structures are described by single-orbital Hubbard-type Hamiltonians with geometrical frustration. Using the ab initio downfolding method, we derive the low-energy effective Hamiltonians for β^{′}-X[Pd(dmit)_{2}]_{2} with available room- and low-temperature structures. We find that the amplitudes of the Coulomb interactions and the anisotropy of the hopping parameters in the effective Hamiltonians are sensitive to the changes in the lattice constants induced by lowering the temperature. The obtained effective Hamiltonians are analyzed using the exact diagonalization method with the boundary condition average. We find that a significant reduction of the antiferromagnetic ordered moment occurs in the effective Hamiltonian of β^{′}-EtMe_{3}Sb[Pd(dmit)_{2}]_{2} with the low-temperature structure. The reduction is consistent with the quantum spin liquid behavior observed in experiments. The comprehensive derivations of the effective Hamiltonians and exact-diagonalization analyses of them will clarify the microscopic origins of the exotic quantum states of matter found in β^{′}-X[Pd(dmit)_{2}]_{2} such as the quantum spin liquid behavior. |
| first_indexed | 2024-04-24T10:16:54Z |
| format | Article |
| id | doaj.art-0613f453e5ce4d1cb1ee3284b1644493 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:16:54Z |
| publishDate | 2021-12-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-0613f453e5ce4d1cb1ee3284b16444932024-04-12T17:16:48ZengAmerican Physical SocietyPhysical Review Research2643-15642021-12-013404322410.1103/PhysRevResearch.3.043224Ab initio derivation and exact diagonalization analysis of low-energy effective Hamiltonians for β^{′}-X[Pd(dmit)_{2}]_{2}Kazuyoshi YoshimiTakao TsumurayaTakahiro MisawaThe molecular solids β^{′}-X[Pd(dmit)_{2}]_{2} (where X represents a cation) are typical compounds whose electronic structures are described by single-orbital Hubbard-type Hamiltonians with geometrical frustration. Using the ab initio downfolding method, we derive the low-energy effective Hamiltonians for β^{′}-X[Pd(dmit)_{2}]_{2} with available room- and low-temperature structures. We find that the amplitudes of the Coulomb interactions and the anisotropy of the hopping parameters in the effective Hamiltonians are sensitive to the changes in the lattice constants induced by lowering the temperature. The obtained effective Hamiltonians are analyzed using the exact diagonalization method with the boundary condition average. We find that a significant reduction of the antiferromagnetic ordered moment occurs in the effective Hamiltonian of β^{′}-EtMe_{3}Sb[Pd(dmit)_{2}]_{2} with the low-temperature structure. The reduction is consistent with the quantum spin liquid behavior observed in experiments. The comprehensive derivations of the effective Hamiltonians and exact-diagonalization analyses of them will clarify the microscopic origins of the exotic quantum states of matter found in β^{′}-X[Pd(dmit)_{2}]_{2} such as the quantum spin liquid behavior.http://doi.org/10.1103/PhysRevResearch.3.043224 |
| spellingShingle | Kazuyoshi Yoshimi Takao Tsumuraya Takahiro Misawa Ab initio derivation and exact diagonalization analysis of low-energy effective Hamiltonians for β^{′}-X[Pd(dmit)_{2}]_{2} Physical Review Research |
| title | Ab initio derivation and exact diagonalization analysis of low-energy effective Hamiltonians for β^{′}-X[Pd(dmit)_{2}]_{2} |
| title_full | Ab initio derivation and exact diagonalization analysis of low-energy effective Hamiltonians for β^{′}-X[Pd(dmit)_{2}]_{2} |
| title_fullStr | Ab initio derivation and exact diagonalization analysis of low-energy effective Hamiltonians for β^{′}-X[Pd(dmit)_{2}]_{2} |
| title_full_unstemmed | Ab initio derivation and exact diagonalization analysis of low-energy effective Hamiltonians for β^{′}-X[Pd(dmit)_{2}]_{2} |
| title_short | Ab initio derivation and exact diagonalization analysis of low-energy effective Hamiltonians for β^{′}-X[Pd(dmit)_{2}]_{2} |
| title_sort | ab initio derivation and exact diagonalization analysis of low energy effective hamiltonians for β x pd dmit 2 2 |
| url | http://doi.org/10.1103/PhysRevResearch.3.043224 |
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