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Liu CC, Paschen S, Si Q. Quantum criticality enabled by intertwined degrees of freedom. Proc Natl Acad Sci U S A 2023; 120:e2300903120. [PMID: 37459538 PMCID: PMC10372663 DOI: 10.1073/pnas.2300903120] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/16/2023] [Accepted: 06/20/2023] [Indexed: 07/29/2023] Open
Abstract
Strange metals appear in a wide range of correlated materials. Electronic localization-delocalization and the expected loss of quasiparticles characterize beyond-Landau metallic quantum critical points and the associated strange metals. Typical settings involve local spins. Systems that contain entwined degrees of freedom offer new platforms to realize unusual forms of quantum criticality. Here, we study the fate of an SU(4) spin-orbital Kondo state in a multipolar Bose-Fermi Kondo model, which provides an effective description of a multipolar Kondo lattice, using a renormalization-group method. We show that at zero temperature, a generic trajectory in the model's parameter space contains two quantum critical points, which are associated with the destruction of Kondo entanglement in the orbital and spin channels, respectively. Our asymptotically exact results reveal an overall phase diagram, provide the theoretical basis to understand puzzling recent experiments of a multipolar heavy fermion metal, and point to a means of designing different forms of quantum criticality and strange metallicity in a variety of strongly correlated systems.
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Affiliation(s)
- Chia-Chuan Liu
- Department of Physics and Astronomy, Rice Center for Quantum Materials, Rice University, Houston, TX 77005
- Département de Physique, Université de Montréal, Montréal, Québec H3C 3J7, Canada
| | - Silke Paschen
- Institute of Solid State Physics, Vienna University of Technology, 1040 Vienna, Austria
| | - Qimiao Si
- Department of Physics and Astronomy, Rice Center for Quantum Materials, Rice University, Houston, TX 77005
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Martelli V, Cai A, Nica EM, Taupin M, Prokofiev A, Liu CC, Lai HH, Yu R, Ingersent K, Küchler R, Strydom AM, Geiger D, Haenel J, Larrea J, Si Q, Paschen S. Sequential localization of a complex electron fluid. Proc Natl Acad Sci U S A 2019; 116:17701-17706. [PMID: 31431528 PMCID: PMC6731632 DOI: 10.1073/pnas.1908101116] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022] Open
Abstract
Complex and correlated quantum systems with promise for new functionality often involve entwined electronic degrees of freedom. In such materials, highly unusual properties emerge and could be the result of electron localization. Here, a cubic heavy fermion metal governed by spins and orbitals is chosen as a model system for this physics. Its properties are found to originate from surprisingly simple low-energy behavior, with 2 distinct localization transitions driven by a single degree of freedom at a time. This result is unexpected, but we are able to understand it by advancing the notion of sequential destruction of an SU(4) spin-orbital-coupled Kondo entanglement. Our results implicate electron localization as a unified framework for strongly correlated materials and suggest ways to exploit multiple degrees of freedom for quantum engineering.
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Affiliation(s)
- Valentina Martelli
- Institute of Solid State Physics, Vienna University of Technology, 1040 Vienna, Austria
| | - Ang Cai
- Department of Physics and Astronomy, Rice University, Houston, TX 77005
- Rice Center for Quantum Materials, Rice University, Houston, TX 77005
| | - Emilian M Nica
- Department of Physics and Astronomy, Rice University, Houston, TX 77005
- Rice Center for Quantum Materials, Rice University, Houston, TX 77005
| | - Mathieu Taupin
- Institute of Solid State Physics, Vienna University of Technology, 1040 Vienna, Austria
| | - Andrey Prokofiev
- Institute of Solid State Physics, Vienna University of Technology, 1040 Vienna, Austria
| | - Chia-Chuan Liu
- Department of Physics and Astronomy, Rice University, Houston, TX 77005
- Rice Center for Quantum Materials, Rice University, Houston, TX 77005
| | - Hsin-Hua Lai
- Department of Physics and Astronomy, Rice University, Houston, TX 77005
- Rice Center for Quantum Materials, Rice University, Houston, TX 77005
| | - Rong Yu
- Department of Physics and Astronomy, Rice University, Houston, TX 77005
- Rice Center for Quantum Materials, Rice University, Houston, TX 77005
- Department of Physics, Renmin University of China, Beijing 100872, China
| | - Kevin Ingersent
- Department of Physics, University of Florida, Gainesville, FL 32611-8440
| | - Robert Küchler
- Physics of Quantum Materials, Max Planck Institute for Chemical Physics of Solids, 01187 Dresden, Germany
| | - André M Strydom
- Highly Correlated Matter Research Group, Physics Department, University of Johannesburg, Auckland Park 2006, South Africa
| | - Diana Geiger
- Institute of Solid State Physics, Vienna University of Technology, 1040 Vienna, Austria
| | - Jonathan Haenel
- Institute of Solid State Physics, Vienna University of Technology, 1040 Vienna, Austria
| | - Julio Larrea
- Institute of Solid State Physics, Vienna University of Technology, 1040 Vienna, Austria
| | - Qimiao Si
- Department of Physics and Astronomy, Rice University, Houston, TX 77005;
- Rice Center for Quantum Materials, Rice University, Houston, TX 77005
| | - Silke Paschen
- Institute of Solid State Physics, Vienna University of Technology, 1040 Vienna, Austria;
- Department of Physics and Astronomy, Rice University, Houston, TX 77005
- Rice Center for Quantum Materials, Rice University, Houston, TX 77005
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