Kondo frustration via charge fluctuations: a route to Mott localisation
We propose a minimal effective impurity model that captures the phenomenology of the Mott–Hubbard metal–insulator transition of the half-filled Hubbard model on the Bethe lattice in infinite dimensions as observed by dynamical mean field theory (DMFT). This involves extending the standard Anderson i...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2023-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/ad08f3 |
| _version_ | 1827766076106080256 |
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| author | Abhirup Mukherjee N S Vidhyadhiraja A Taraphder Siddhartha Lal |
| author_facet | Abhirup Mukherjee N S Vidhyadhiraja A Taraphder Siddhartha Lal |
| author_sort | Abhirup Mukherjee |
| collection | DOAJ |
| description | We propose a minimal effective impurity model that captures the phenomenology of the Mott–Hubbard metal–insulator transition of the half-filled Hubbard model on the Bethe lattice in infinite dimensions as observed by dynamical mean field theory (DMFT). This involves extending the standard Anderson impurity model Hamiltonian to include an explicit Kondo coupling J , as well as a local on-site correlation U _b on the conduction bath site connected directly to the impurity. For the case of attractive local bath correlations ( $U_{b}\lt 0$ ), the extended Anderson impurity model (e-SIAM) sheds new light on several aspects of the DMFT phase diagram. For example, the T = 0 metal-to-insulator quantum phase transition (QPT) is preceded by an excited state QPT (ESQPT) where the local moment eigenstates are emergent in the low-lying spectrum. Long-ranged fluctuations are observed near both the QPT and ESQPT, suggesting that they are the origin of the quantum critical scaling observed recently at high temperatures in DMFT simulations. The T = 0 gapless excitations at the quantum critical point display particle-hole interconversion processes, and exhibit power-law behaviour in self-energies and two-particle correlations. These are signatures of non-Fermi liquid behaviour that emerge from the partial breakdown of the Kondo screening. |
| first_indexed | 2024-03-11T11:37:47Z |
| format | Article |
| id | doaj.art-962a05d386394058b7dab0e51f969829 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-11T11:37:47Z |
| publishDate | 2023-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-962a05d386394058b7dab0e51f9698292023-11-10T13:00:52ZengIOP PublishingNew Journal of Physics1367-26302023-01-01251111301110.1088/1367-2630/ad08f3Kondo frustration via charge fluctuations: a route to Mott localisationAbhirup Mukherjee0https://orcid.org/0000-0001-7869-7205N S Vidhyadhiraja1A Taraphder2https://orcid.org/0000-0002-2916-1532Siddhartha Lal3https://orcid.org/0000-0002-5387-6044Department of Physical Sciences, Indian Institute of Science Education and Research-Kolkata , Mohanpur Campus, West Bengal 741246, IndiaTheoretical Sciences Unit, Jawaharlal Nehru Center for Advanced Scientific Research , Jakkur, Bengaluru 560064, IndiaDepartment of Physics, Indian Institute of Technology Kharagpur , Kharagpur 721302, IndiaDepartment of Physical Sciences, Indian Institute of Science Education and Research-Kolkata , Mohanpur Campus, West Bengal 741246, IndiaWe propose a minimal effective impurity model that captures the phenomenology of the Mott–Hubbard metal–insulator transition of the half-filled Hubbard model on the Bethe lattice in infinite dimensions as observed by dynamical mean field theory (DMFT). This involves extending the standard Anderson impurity model Hamiltonian to include an explicit Kondo coupling J , as well as a local on-site correlation U _b on the conduction bath site connected directly to the impurity. For the case of attractive local bath correlations ( $U_{b}\lt 0$ ), the extended Anderson impurity model (e-SIAM) sheds new light on several aspects of the DMFT phase diagram. For example, the T = 0 metal-to-insulator quantum phase transition (QPT) is preceded by an excited state QPT (ESQPT) where the local moment eigenstates are emergent in the low-lying spectrum. Long-ranged fluctuations are observed near both the QPT and ESQPT, suggesting that they are the origin of the quantum critical scaling observed recently at high temperatures in DMFT simulations. The T = 0 gapless excitations at the quantum critical point display particle-hole interconversion processes, and exhibit power-law behaviour in self-energies and two-particle correlations. These are signatures of non-Fermi liquid behaviour that emerge from the partial breakdown of the Kondo screening.https://doi.org/10.1088/1367-2630/ad08f3Mott transitionKondo effectquantum frustrationrenormalisation groupauxiliary modelsquantum phase transition |
| spellingShingle | Abhirup Mukherjee N S Vidhyadhiraja A Taraphder Siddhartha Lal Kondo frustration via charge fluctuations: a route to Mott localisation New Journal of Physics Mott transition Kondo effect quantum frustration renormalisation group auxiliary models quantum phase transition |
| title | Kondo frustration via charge fluctuations: a route to Mott localisation |
| title_full | Kondo frustration via charge fluctuations: a route to Mott localisation |
| title_fullStr | Kondo frustration via charge fluctuations: a route to Mott localisation |
| title_full_unstemmed | Kondo frustration via charge fluctuations: a route to Mott localisation |
| title_short | Kondo frustration via charge fluctuations: a route to Mott localisation |
| title_sort | kondo frustration via charge fluctuations a route to mott localisation |
| topic | Mott transition Kondo effect quantum frustration renormalisation group auxiliary models quantum phase transition |
| url | https://doi.org/10.1088/1367-2630/ad08f3 |
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