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Lee JM, Oshikawa M, Cho GY. Non-Fermi Liquids in Conducting Two-Dimensional Networks. PHYSICAL REVIEW LETTERS 2021; 126:186601. [PMID: 34018806 DOI: 10.1103/physrevlett.126.186601] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/01/2020] [Accepted: 04/01/2021] [Indexed: 06/12/2023]
Abstract
We explore the physics of novel fermion liquids emerging from conducting networks, where 1D metallic wires form a periodic 2D superstructure. Such structure naturally appears in marginally twisted bilayer graphenes, moire transition metal dichalcogenides, and also in some charge-density wave materials. For these network systems, we theoretically show that a remarkably wide variety of new non-Fermi liquids emerge and that these non-Fermi liquids can be classified by the characteristics of the junctions in networks. Using this, we calculate the electric conductivity of the non-Fermi liquids as a function of temperature, which show markedly different scaling behaviors than a regular 2D Fermi liquid.
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Affiliation(s)
- Jongjun M Lee
- Department of Physics, Pohang University of Science and Technology (POSTECH), Pohang 37673, Republic of Korea
- Center for Artificial Low Dimensional Electronic Systems, Institute for Basic Science (IBS), Pohang 37673, Korea
| | - Masaki Oshikawa
- Institute for Solid State Physics, The University of Tokyo, Kashiwa 277-8581, Japan
- Kavli Institute for the Physics and Mathematics of the Universe, Kashiwa 277-8583, Japan
- Trans-scale Quantum Science Institute, University of Tokyo, Bunkyo-ku, Tokyo 113-0033, Japan
| | - Gil Young Cho
- Department of Physics, Pohang University of Science and Technology (POSTECH), Pohang 37673, Republic of Korea
- Center for Artificial Low Dimensional Electronic Systems, Institute for Basic Science (IBS), Pohang 37673, Korea
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Lichtenstein T, Mamiyev Z, Jeckelmann E, Tegenkamp C, Pfnür H. Anisotropic 2D metallicity: plasmons in Ge(1 0 0)-Au. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2019; 31:175001. [PMID: 30695765 DOI: 10.1088/1361-648x/ab02c5] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/09/2023]
Abstract
The low-energy plasmonic excitations of the Ge(0 0 1)-Au close to one monolayer coverage of Au were investigated by momentum-resolved high resolution electron energy loss spectroscopy. A very weak plasmonic loss was identified dispersing along the chain direction of the [Formula: see text] formed at these Au coverages. The measured dispersion was compared with the Tomonaga-Luttinger-liquid (TLL) model and with a model for an anisotropic Fermi liquid. Using the TLL model both for single and arrays of wires, no consistent picture turned up that could describe all available data. On the contrary, a quasi-one-dimensional model of a confined 2D electron gas gave a satisfactorily consistent description of the data. From these results for the collective low-energy excitations we conclude that the Ge(0 0 1)-Au system is reasonably well described by a strongly anisotropic 2D Fermi liquid, but is incompatible with a TLL.
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Affiliation(s)
- T Lichtenstein
- Institut für Festkörperphysik, Leibniz Universität Hannover, Appelstraße 2, 30167 Hannover, Germany
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Wakeham N, Bangura AF, Xu X, Mercure JF, Greenblatt M, Hussey NE. Gross violation of the Wiedemann-Franz law in a quasi-one-dimensional conductor. Nat Commun 2011; 2:396. [PMID: 21772267 PMCID: PMC3144592 DOI: 10.1038/ncomms1406] [Citation(s) in RCA: 31] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/25/2011] [Accepted: 06/20/2011] [Indexed: 11/09/2022] Open
Abstract
When charge carriers are spatially confined to one dimension, conventional Fermi-liquid theory breaks down. In such Tomonaga-Luttinger liquids, quasiparticles are replaced by distinct collective excitations of spin and charge that propagate independently with different velocities. Although evidence for spin-charge separation exists, no bulk low-energy probe has yet been able to distinguish successfully between Tomonaga-Luttinger and Fermi-liquid physics. Here we show experimentally that the ratio of the thermal and electrical Hall conductivities in the metallic phase of quasi-one-dimensional Li(0.9)Mo(6)O(17) diverges with decreasing temperature, reaching a value five orders of magnitude larger than that found in conventional metals. Both the temperature dependence and magnitude of this ratio are consistent with Tomonaga-Luttinger liquid theory. Such a dramatic manifestation of spin-charge separation in a bulk three-dimensional solid offers a unique opportunity to explore how the fermionic quasiparticle picture recovers, and over what time scale, when coupling to a second or third dimension is restored.
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Affiliation(s)
- Nicholas Wakeham
- H. H. Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol BS8 1TL, UK
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Narduzzo A, Enayati-Rad A, Horii S, Hussey NE. Possible coexistence of local itinerancy and global localization in a quasi-one-dimensional conductor. PHYSICAL REVIEW LETTERS 2007; 98:146601. [PMID: 17501296 DOI: 10.1103/physrevlett.98.146601] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/08/2006] [Indexed: 05/15/2023]
Abstract
In the chain compound PrBa2Cu4O8 localization appears simultaneously with a dimensional crossover in the electronic ground state when the scattering rate in the chains exceeds the hopping rate between the chains. Here we report the discovery of a large, transverse magnetoresistance in PrBa2Cu4O8 in the localized regime. This result suggests a novel form of localization whereby electrons retain their metallic (quasi-one-dimensional) character over a microscopic length scale despite the fact that, macroscopically, they exhibit localized (one-dimensional) behavior.
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Affiliation(s)
- A Narduzzo
- H.H. Wills Physics Laboratory, University of Bristol, Tyndall Avenue, BS8 1TL, United Kingdom
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Hussey NE, McBrien MN, Balicas L, Brooks JS, Horii S, Ikuta H. Three-dimensional fermi-liquid ground state in the quasi-one-dimensional cuprate PrBa(2)Cu(4)O(8). PHYSICAL REVIEW LETTERS 2002; 89:086601. [PMID: 12190489 DOI: 10.1103/physrevlett.89.086601] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/20/2001] [Indexed: 05/23/2023]
Abstract
The interchain resistivity of PrBa(2)Cu(4)O(8) has been measured in high magnetic fields up to 30 T. Co-herent interchain transport at low temperatures is destroyed by a large magnetic field applied perpendicular to the CuO chains. Comparisons with quasiclassical transport theory provide strong experimental support for a three-dimensional Fermi-liquid ground state in PrBa(2)Cu(4)O(8), despite extreme anisotropy in its electronic properties and the presence of strong electron correlations.
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Affiliation(s)
- N E Hussey
- H. H. Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol, BS8 1TL, United Kingdom
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Mizokawa T, Kim C, Shen ZX, Ino A, Yoshida T, Fujimori A, Goto M, Eisaki H, Uchida S, Tagami M, Yoshida K, Rykov AI, Siohara Y, Tomimoto K, Tajima S, Yamada Y, Horii S, Yamada N, Yamada Y, Hirabayashi I. Angle-resolved photoemission study of insulating and metallic Cu-O chains in PrBa2Cu3O7 and PrBa2Cu4O8. PHYSICAL REVIEW LETTERS 2000; 85:4779-4782. [PMID: 11082650 DOI: 10.1103/physrevlett.85.4779] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/10/2000] [Indexed: 05/23/2023]
Abstract
We compare the angle-resolved photoemission spectra of the hole-doped Cu-O chains in PrBa2Cu3O7 (Pr123) and in PrBa2Cu4O8 (Pr124). While, in Pr123, a dispersive feature from the chain takes a band maximum at k(b) (momentum along the chain) approximately pi/4 and loses its spectral weight around the Fermi level, it reaches the Fermi level at k(b) approximately pi/4 in Pr124. Although the chains in Pr123 and Pr124 are approximately 1/4 filled, they show contrasting behaviors: While the chains in Pr123 have an instability to charge ordering, those in Pr124 avoid it and show an interesting spectral feature of a metallic coupled-chain system.
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Affiliation(s)
- T Mizokawa
- Department of Complexity Science and Engineering, University of Tokyo, Bunkyo-ku, Tokyo 113-0033, Japan and Department of Physics, University of Tokyo, Bunkyo-ku, Tokyo 113-0033, Japan
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Kamiya K, Miyamae T, Oku M, Seki K, Inokuchi H, Tanaka C, Tanaka J. Ultraviolet Photoemission Spectra of Perchlorate-Doped cis- and trans-Polyacetylene. ACTA ACUST UNITED AC 1996. [DOI: 10.1021/jp953793y] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Koji Kamiya
- Department of Materials Science, Faculty of Engineering, Chiba University, Inage-ku, Chiba 263, Japan, Department of Chemistry, Faculty of Science, Nagoya University, Chikusa, Nagoya 464-01, Japan, Institute for Molecular Science, Okazaki 444, Japan, and Department of Chemistry, Faculty of Science, Kanagawa University, Hiratsuka 259-12, Japan
| | - Takayuki Miyamae
- Department of Materials Science, Faculty of Engineering, Chiba University, Inage-ku, Chiba 263, Japan, Department of Chemistry, Faculty of Science, Nagoya University, Chikusa, Nagoya 464-01, Japan, Institute for Molecular Science, Okazaki 444, Japan, and Department of Chemistry, Faculty of Science, Kanagawa University, Hiratsuka 259-12, Japan
| | - Makoto Oku
- Department of Materials Science, Faculty of Engineering, Chiba University, Inage-ku, Chiba 263, Japan, Department of Chemistry, Faculty of Science, Nagoya University, Chikusa, Nagoya 464-01, Japan, Institute for Molecular Science, Okazaki 444, Japan, and Department of Chemistry, Faculty of Science, Kanagawa University, Hiratsuka 259-12, Japan
| | - Kazuhiko Seki
- Department of Materials Science, Faculty of Engineering, Chiba University, Inage-ku, Chiba 263, Japan, Department of Chemistry, Faculty of Science, Nagoya University, Chikusa, Nagoya 464-01, Japan, Institute for Molecular Science, Okazaki 444, Japan, and Department of Chemistry, Faculty of Science, Kanagawa University, Hiratsuka 259-12, Japan
| | - Hiroo Inokuchi
- Department of Materials Science, Faculty of Engineering, Chiba University, Inage-ku, Chiba 263, Japan, Department of Chemistry, Faculty of Science, Nagoya University, Chikusa, Nagoya 464-01, Japan, Institute for Molecular Science, Okazaki 444, Japan, and Department of Chemistry, Faculty of Science, Kanagawa University, Hiratsuka 259-12, Japan
| | - Chizuko Tanaka
- Department of Materials Science, Faculty of Engineering, Chiba University, Inage-ku, Chiba 263, Japan, Department of Chemistry, Faculty of Science, Nagoya University, Chikusa, Nagoya 464-01, Japan, Institute for Molecular Science, Okazaki 444, Japan, and Department of Chemistry, Faculty of Science, Kanagawa University, Hiratsuka 259-12, Japan
| | - Jiro Tanaka
- Department of Materials Science, Faculty of Engineering, Chiba University, Inage-ku, Chiba 263, Japan, Department of Chemistry, Faculty of Science, Nagoya University, Chikusa, Nagoya 464-01, Japan, Institute for Molecular Science, Okazaki 444, Japan, and Department of Chemistry, Faculty of Science, Kanagawa University, Hiratsuka 259-12, Japan
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