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Bhattacharya S, Ray P. Quasi-Long-Range Order and Vortex Lattice in the Three-State Potts Model. PHYSICAL REVIEW LETTERS 2016; 116:097206. [PMID: 26991200 DOI: 10.1103/physrevlett.116.097206] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/12/2015] [Indexed: 06/05/2023]
Abstract
We show that the order-disorder phase transition in the three-state Potts ferromagnet on a square lattice is driven by a coupled proliferation of domain walls and vortices. Raising the vortex core energy above a threshold value decouples the proliferation and splits the transition into two. The phase between the two transitions exhibits an emergent U(1) symmetry and quasi-long-range order. Lowering the core energy below a threshold value also splits the order-disorder transition but the system forms a vortex lattice in the intermediate phase.
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Affiliation(s)
| | - Purusattam Ray
- The Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai 600113, India
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2
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She JH, Balatsky AV. Berezinskii-Kosterlitz-Thouless transition to the superconducting state of heavy-fermion superlattices. PHYSICAL REVIEW LETTERS 2012; 109:077002. [PMID: 23006395 DOI: 10.1103/physrevlett.109.077002] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/19/2012] [Indexed: 06/01/2023]
Abstract
We propose an explanation of the superconducting transitions discovered in the heavy-fermion superlattices by Mizukami et al. [Nature Phys. 7, 849 (2011)] in terms of Berezinskii-Kosterlitz-Thouless (BKT) transition. We observe that the effective mass mismatch between the heavy-fermion superconductor and the normal metal regions provides an effective barrier that enables quasi-2D superconductivity in such systems. We show that the resistivity data, both with and without magnetic field, are consistent with BKT transition. Furthermore, we study the influence of a nearby magnetic quantum critical point on the vortex system and find that the vortex core energy can be significantly reduced due to magnetic fluctuations. Further reduction of the gap with decreasing number of layers is understood as a result of pair breaking effect of Yb ions at the interface.
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Affiliation(s)
- Jian-Huang She
- Theoretical Division, Los Alamos National Laboratory, New Mexico 87545, USA
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Mondal M, Kumar S, Chand M, Kamlapure A, Saraswat G, Seibold G, Benfatto L, Raychaudhuri P. Role of the vortex-core energy on the Berezinskii-Kosterlitz-Thouless transition in thin films of NbN. PHYSICAL REVIEW LETTERS 2011; 107:217003. [PMID: 22181915 DOI: 10.1103/physrevlett.107.217003] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/10/2011] [Indexed: 05/31/2023]
Abstract
We analyze the occurrence of the Berezinskii-Kosterlitz-Thouless (BKT) transition in thin films of NbN at various film thickness, by probing the effect of vortex fluctuations on the temperature dependence of the superfluid density below T(BKT) and of the resistivity above T(BKT). By direct comparison between the experimental data and the theory, we show the crucial role played by the vortex-core energy in determining the characteristic signatures of the BKT physics, and we estimate its dependence on the disorder level. Our work provides a paradigmatic example of BKT physics in a quasi-two-dimensional superconductor.
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Affiliation(s)
- Mintu Mondal
- Tata Institute of Fundamental Research, Colaba, Mumbai, India
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Reyren N, Thiel S, Caviglia AD, Kourkoutis LF, Hammerl G, Richter C, Schneider CW, Kopp T, Rüetschi AS, Jaccard D, Gabay M, Muller DA, Triscone JM, Mannhart J. Superconducting Interfaces Between Insulating Oxides. Science 2007; 317:1196-9. [PMID: 17673621 DOI: 10.1126/science.1146006] [Citation(s) in RCA: 753] [Impact Index Per Article: 44.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/02/2022]
Abstract
At interfaces between complex oxides, electronic systems with unusual electronic properties can be generated. We report on superconductivity in the electron gas formed at the interface between two insulating dielectric perovskite oxides, LaAlO3 and SrTiO3. The behavior of the electron gas is that of a two-dimensional superconductor, confined to a thin sheet at the interface. The superconducting transition temperature of congruent with 200 millikelvin provides a strict upper limit to the thickness of the superconducting layer of congruent with 10 nanometers.
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Affiliation(s)
- N Reyren
- Département de Physique de la Matière Condensée, University of Geneva, 24 quai Ernest-Ansermet, 1211 Genève 4, Switzerland
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Takahashi KS, Gabay M, Jaccard D, Shibuya K, Ohnishi T, Lippmaa M, Triscone JM. Local switching of two-dimensional superconductivity using the ferroelectric field effect. Nature 2006; 441:195-8. [PMID: 16688171 DOI: 10.1038/nature04731] [Citation(s) in RCA: 81] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/11/2005] [Accepted: 03/16/2006] [Indexed: 11/09/2022]
Abstract
Correlated oxides display a variety of extraordinary physical properties including high-temperature superconductivity and colossal magnetoresistance. In these materials, strong electronic correlations often lead to competing ground states that are sensitive to many parameters--in particular the doping level--so that complex phase diagrams are observed. A flexible way to explore the role of doping is to tune the electron or hole concentration with electric fields, as is done in standard semiconductor field effect transistors. Here we demonstrate a model oxide system based on high-quality heterostructures in which the ferroelectric field effect approach can be studied. We use a single-crystal film of the perovskite superconductor Nb-doped SrTiO3 as the superconducting channel and ferroelectric Pb(Zr,Ti)O3 as the gate oxide. Atomic force microscopy is used to locally reverse the ferroelectric polarization, thus inducing large resistivity and carrier modulations, resulting in a clear shift in the superconducting critical temperature. Field-induced switching from the normal state to the (zero resistance) superconducting state was achieved at a well-defined temperature. This unique system could lead to a field of research in which devices are realized by locally defining in the same material superconducting and normal regions with 'perfect' interfaces, the interface being purely electronic. Using this approach, one could potentially design one-dimensional superconducting wires, superconducting rings and junctions, superconducting quantum interference devices (SQUIDs) or arrays of pinning centres.
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Affiliation(s)
- K S Takahashi
- DPMC, University of Geneva, 24 Quai Ernest Ansermet, 1211 Geneva 4, Switzerland
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Ebeling W, Hilbert S, Krienke H. On Bjerrum's mass action law for electrolytes and Onsager's bookkeeping rule. J Mol Liq 2002. [DOI: 10.1016/s0167-7322(01)00363-4] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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7
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Gil-Villegas A, McGrother SC, Jackson G. Chain and ring structures in smectic phases of molecules with transverse dipoles. Chem Phys Lett 1997. [DOI: 10.1016/s0009-2614(97)00307-2] [Citation(s) in RCA: 66] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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Lehmann H, Ebeling W. Coulombic phase transitions in symmetrical quantum systems. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1996; 54:2451-2457. [PMID: 9965352 DOI: 10.1103/physreve.54.2451] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Irz DY, Ryzhov VN, Tareyeva EE. First-order vortex unbinding transition in thin superconducting films. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:3051-3054. [PMID: 9986198 DOI: 10.1103/physrevb.54.3051] [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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Tupitsyn I, Wallin M, Rosengren A. Phase diagram of vortices in double-layer quantum Hall systems. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 53:R7614-R7617. [PMID: 9982280 DOI: 10.1103/physrevb.53.r7614] [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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11
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Stoof HT, Mullen K, Wallin M, Girvin SM. Hydrodynamics of spatially ordered superfluids. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 53:5670-5682. [PMID: 9984176 DOI: 10.1103/physrevb.53.5670] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Wagenblast KH, Baltin R, Bruder C, Fazio R, Schön G. Quantum phase transitions of interacting bosons and the supersolid phase. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:16176-16186. [PMID: 9981001 DOI: 10.1103/physrevb.52.16176] [Citation(s) in RCA: 60] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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13
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Ding GH, Xu BW. Phase transition in the lattice Coulomb gas. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:12653-12657. [PMID: 9978037 DOI: 10.1103/physrevb.51.12653] [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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14
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Wallin M, Weber H. Resistance scaling at the Kosterlitz-Thouless transition. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:6163-6166. [PMID: 9979546 DOI: 10.1103/physrevb.51.6163] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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15
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Levin Y, Li X, Fisher ME. Coulombic criticality in general dimensions. PHYSICAL REVIEW LETTERS 1994; 73:2716-2719. [PMID: 10057174 DOI: 10.1103/physrevlett.73.2716] [Citation(s) in RCA: 29] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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16
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Xing L, Chang YC. Nuclear spin-lattice relaxation induced by thermally fluctuating flux lines. PHYSICAL REVIEW LETTERS 1994; 73:488-491. [PMID: 10057459 DOI: 10.1103/physrevlett.73.488] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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17
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Mullen K, Stoof HT, Wallin M, Girvin SM. Hexatically ordered superfluids. PHYSICAL REVIEW LETTERS 1994; 72:4013-4016. [PMID: 10056357 DOI: 10.1103/physrevlett.72.4013] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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18
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Zhang SC. Vortex-antivortex lattice in superfluid films. PHYSICAL REVIEW LETTERS 1993; 71:2142-2145. [PMID: 10054593 DOI: 10.1103/physrevlett.71.2142] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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