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Pankratova AK, Igoshev PA, Irkhin VY. Incommensurate magnetic order in rare earth and transition metal compounds with local moments. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2021; 33:375802. [PMID: 34153961 DOI: 10.1088/1361-648x/ac0d1a] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/20/2021] [Accepted: 06/21/2021] [Indexed: 06/13/2023]
Abstract
Within the framework of thes-d(f) exchange model in the mean-field approximation for square, simple cubic, body-centered and face-centered cubic lattices, the formation of a ferromagnetic, spiral, and commensurate antiferromagnetic (AFM) order is investigated. The possibility of the formation of inhomogeneous states (magnetic phase separation), which necessarily arises during first-order phase transitions in the electron filling parameter, is taken into account. The saturation of the AFM and spiral states is studied depending on the parameters of the model. The results obtained include a rich variety of magnetic structures and phase transitions, allowing the interpretation of magnetic properties of semiconducting and metallic systems containing magnetic atoms.
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Affiliation(s)
- A K Pankratova
- Institute of Metal Physics, 620108, Kovalevskaya str. 18, Ekaterinburg, Russia
- Ural Federal University, 620000, Mira str. 132, Ekaterinburg, Russia
| | - P A Igoshev
- Institute of Metal Physics, 620108, Kovalevskaya str. 18, Ekaterinburg, Russia
- Ural Federal University, 620000, Mira str. 132, Ekaterinburg, Russia
| | - V Yu Irkhin
- Institute of Metal Physics, 620108, Kovalevskaya str. 18, Ekaterinburg, Russia
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Khait I, Azaria P, Hubig C, Schollwöck U, Auerbach A. Doped Kondo chain, a heavy Luttinger liquid. Proc Natl Acad Sci U S A 2018; 115:5140-5144. [PMID: 29712859 PMCID: PMC5960294 DOI: 10.1073/pnas.1719374115] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022] Open
Abstract
The doped 1D Kondo Lattice describes complex competition between itinerant and magnetic ordering. The numerically computed wave vector-dependent charge and spin susceptibilities give insights into its low-energy properties. Similar to the prediction of the large N approximation, gapless spin and charge modes appear at the large Fermi wave vector. The highly suppressed spin velocity is a manifestation of "heavy" Luttinger liquid quasiparticles. A low-energy hybridization gap is detected at the small (conduction band) Fermi wave vector. In contrast to the exponential suppression of the Fermi velocity in the large-N approximation, we fit the spin velocity by a density-dependent power law of the Kondo coupling. The differences between the large-N theory and our numerical results are associated with the emergent magnetic Ruderman-Kittel-Kasuya-Yosida interactions.
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Affiliation(s)
- Ilia Khait
- Physics Department, Technion, 32000 Haifa, Israel;
| | - Patrick Azaria
- Physics Department, Technion, 32000 Haifa, Israel
- Laboratoire de Physique Théorique des Liquides, Université Pierre et Marie Curie, 75252 Paris, France
| | - Claudius Hubig
- Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universität München, 80333 Munich, Germany
| | - Ulrich Schollwöck
- Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universität München, 80333 Munich, Germany
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Feiguin AE, Fiete GA. Spin-incoherent behavior in the ground state of strongly correlated systems. PHYSICAL REVIEW LETTERS 2011; 106:146401. [PMID: 21561205 DOI: 10.1103/physrevlett.106.146401] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/25/2010] [Indexed: 05/30/2023]
Abstract
It is commonly believed that strongly interacting one-dimensional Fermi systems with gapless excitations are effectively described by Luttinger liquid theory. However, when the temperature of the system is high compared to the spin energy, but small compared to the charge energy, the system becomes "spin incoherent." We present numerical evidence showing that the one-dimensional "t-J-Kondo" lattice, consisting of a t-J chain interacting with localized spins, displays all the characteristic signatures of spin-incoherent physics, but in the ground state. We argue that similar physics may be present in a wide range of strongly interacting systems.
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Affiliation(s)
- Adrian E Feiguin
- Department of Physics and Astronomy, University of Wyoming, Laramie, Wyoming 82071, USA
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Abstract
Metallic magnetism is both ancient and modern, occurring in such familiar settings as the lodestone in compass needles and the hard drive in computers. Surprisingly, a rigorous theoretical basis for metallic ferromagnetism is still largely missing. The Stoner approach perturbatively treats Coulomb interactions when the latter need to be large, whereas the Nagaoka approach incorporates thermodynamically negligible holes into a half-filled band. Here, we show that the ferromagnetic order of the Kondo lattice is amenable to an asymptotically exact analysis over a range of interaction parameters. In this ferromagnetic phase, the conduction electrons and local moments are strongly coupled but the Fermi surface does not enclose the latter (i.e., it is "small"). Moreover, non-Fermi-liquid behavior appears over a range of frequencies and temperatures. Our results provide the basis to understand some long-standing puzzles in the ferromagnetic heavy fermion metals, and raise the prospect for a new class of ferromagnetic quantum phase transitions.
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Fazekas P. Band ferromagnetism versus collective Kondo state in lattice fermion models. ACTA ACUST UNITED AC 2006. [DOI: 10.1080/01418639708241142] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- P. Fazekas
- a Research Institute for Solid State Physics , H-1525 Budapest 114, PO Box, 49 , Hungary
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Schauerte T, Cox DL, Noack RM, van Dongen PGJ, Batista CD. Phase diagram of the two-channel kondo lattice model in one dimension. PHYSICAL REVIEW LETTERS 2005; 94:147201. [PMID: 15904099 DOI: 10.1103/physrevlett.94.147201] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/06/2004] [Indexed: 05/02/2023]
Abstract
Employing the density matrix renormalization group method and strong-coupling perturbation theory, we study the phase diagram of the SU(2)xSU(2) Kondo lattice model in one dimension. We show that, at quarter filling, the system can exist in two phases depending on the coupling strength. The weak-coupling phase is dominated by RKKY exchange correlations, while the strong-coupling phase is characterized by strong antiferromagnetic correlations of the channel degree of freedom. These two phases are separated by a quantum critical point. For conduction-band fillings of less than one-quarter, we find a paramagnetic metallic phase at weak coupling and a ferromagnetic phase at moderate to strong coupling.
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Affiliation(s)
- T Schauerte
- Department of Physics, University of California, Davis, California 95616, USA
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Yu CC. Numerical renormalization-group study of a Kondo hole in a one-dimensional Kondo insulator. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:15917-15923. [PMID: 9985660 DOI: 10.1103/physrevb.54.15917] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Shibata N, Ueda K, Nishino T, Ishii C. Friedel oscillations in the one-dimensional Kondo lattice model. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:13495-13498. [PMID: 9985256 DOI: 10.1103/physrevb.54.13495] [Citation(s) in RCA: 37] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Moukouri S, Caron LG. Fermi surface of the one-dimensional Kondo-lattice model. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:12212-12215. [PMID: 9985082 DOI: 10.1103/physrevb.54.12212] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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White SR, Affleck I. Dimerization and incommensurate spiral spin correlations in the zigzag spin chain: Analogies to the Kondo lattice. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:9862-9869. [PMID: 9984721 DOI: 10.1103/physrevb.54.9862] [Citation(s) in RCA: 57] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Hiejima T, Yakushi K. Pressure‐induced d–π charge transfer in one‐dimensional phthalocyanine conductors, NiPc(AsF6)0.5 and CoPc(AsF6)0.5. J Chem Phys 1995. [DOI: 10.1063/1.469582] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Hamada M, Shimahara H. Spiral spin states in a generalized Kondo lattice model with classical localized spins. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:3027-3030. [PMID: 9979083 DOI: 10.1103/physrevb.51.3027] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Yanagisawa T, Harigaya K. Ferromagnetic transition of the Kondo lattice with Coulomb repulsion: Exact results. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:9577-9580. [PMID: 9975014 DOI: 10.1103/physrevb.50.9577] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Ueda K, Nishino T, Tsunetsugu H. Large Fermi surface of the one-dimensional Kondo lattice model. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:612-615. [PMID: 9974592 DOI: 10.1103/physrevb.50.612] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Yu CC, White SR. Numerical renormalization group study of the one-dimensional Kondo insulator. PHYSICAL REVIEW LETTERS 1993; 71:3866-3869. [PMID: 10055093 DOI: 10.1103/physrevlett.71.3866] [Citation(s) in RCA: 22] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Möller B, Wölfle P. Magnetic order in the periodic Anderson model. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:10320-10326. [PMID: 10007310 DOI: 10.1103/physrevb.48.10320] [Citation(s) in RCA: 20] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Tsunetsugu H, Sigrist M, Ueda K. Phase diagram of the one-dimensional Kondo-lattice model. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:8345-8348. [PMID: 10004863 DOI: 10.1103/physrevb.47.8345] [Citation(s) in RCA: 69] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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