Comment on ‘‘Flux quantization in rings for Hubbard (attractive and repulsive) and<i>t</i>-<i>J</i>-like Hamiltonians’’

Chen, Liang; Mei, Changjiang; Tremblay, A.–M. S.

doi:10.1103/physrevb.47.15316

Cited by 2 publications

(2 citation statements)

References 4 publications

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“…φ φ = /2 0 [21,22,[28][29][30][31]. Similar phenomenon can be observed in the case of the repulsive Hubbard model for finite size rings due to the spin degrees of freedom [32], even without superconductivity. This ambiguity has driven us to choose the more global approach of the extended-AB period method to detect the electron-pairing [18,33,34], since this keeps track of the evolution of energy levels and the wavefunction as a function of the flux over the extended-AB period ( ⩽ ⩽ ) φ φ L 0 0 .…”

Section: Introductionsupporting

confidence: 71%

Breakdown of electron-pairs in the presence of an electric field of a superconducting ring

Pandey

Dutta

Pati

2016

J. Phys.: Condens. Matter

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Abstract. The quantum dynamics of quasi-one-dimensional ring with varying electron filling factor is investigated in presence of external electric field. The system is modeled within Hubbard Hamiltonian with attractive Coulomb correlation, which results in superconducting ground state when away from half-filling. The electric field is induced by applying time-dependent Aharonov-Bohm flux in the perpendicular direction. To explore the non-equilibrium phenomena arising from the field, we adopt exact diagonalization and Crank-Nicolson numerical method. With increase in electric field strength, the electron pairs, a signature of superconducting phase, start breaking and the system enters into a metallic phase. However, the strength of the electric field for this quantum phase transition depends on the electronic correlation. This phenomenon has been confirmed by flux-quantization of time-dependent current and pair correlation functions.

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Section: Introductionsupporting

confidence: 71%

Breakdown of electron-pairs in the presence of an electric field of a superconducting ring

Pandey

Dutta

Pati

2016

J. Phys.: Condens. Matter

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“…With the exception of the s-wave pair state, the order parameters have basis functions with node lines. However, the number and the location of the nodes at the Fermi-surface depends on the Fermi-surface topology, as well as the band filling of a given band structure (Chen et al, 1993). In addition to the pure states listed in Table I, the order parameter of various mixed pair states can be formed by combining a real subcomponent from one 1D representation with an imaginary subcomponent from another 1D representation.…”

Section: Tetragonal Crystal Latticementioning

confidence: 99%

Pairing symmetry in cuprate superconductors

2000

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Pairing symmetry in the cuprate superconductors is an important and controversial topic. The recent development of phase-sensitive tests, combined with the refinement of several other symmetry-sensitive techniques, has for the most part settled this controversy in favor of predominantly d-wave symmetry for a number of optimally hole-and electron-doped cuprates. This paper begins by reviewing the concepts of the order parameter, symmetry breaking, and symmetry classification in the context of the cuprates. After a brief survey of some of the key non-phase-sensitive tests of pairing symmetry, the authors extensively review the phase-sensitive methods, which use the half-integer flux-quantum effect as an unambiguous signature for d-wave pairing symmetry. A number of related symmetry-sensitive experiments are described. The paper concludes with a brief discussion of the implications, both fundamental and applied, of the predominantly d-wave pairing symmetry in the cuprates. CONTENTS I. Introduction 969 A. Evidence for Cooper pairing in cuprates 969 B. Order parameter in superconductors 970 C. Broken symmetry and symmetry classification of the superconducting state 971 1. Tetragonal crystal lattice 972 2. Orthorhombic crystal lattice 973 3. Cu-O square/rectangular lattice 973 II. Non-Phase-Sensitive Techniques 974 A. Penetration depth 974 B. Specific heat 975 C. Thermal conductivity 975 D. Angle-resolved photoemission 976 III. Half-Integer Flux-Quantum Effect 977 A. Josephson tunneling 977 B. Flux quantization in a superconducting ring 980 C. Paramagnetic Meissner effect 981 IV. Phase-Sensitive Tests of Pairing Symmetry 982 A. SQUID interferometry 982 B. Single-Josephson-junction modulation 984 C. Tricrystal and tetracrystal magnetometry 985 1. Design and characterization of controlledorientation multicrystals 985 2. Magnetic-flux imaging 986 3. Nature of the observed half-integer flux quantization 988 4. Integer and half-integer Josephson vortices 989 5. Evidence for pure d-wave pairing symmetry 993 a. Tetragonal Tl 2 Ba 2 CuO 6ϩ␦ 994 b. Orthorhombic Bi 2 Sr 2 CaCu 2 O 8ϩ␦ 995 D. Thin-film SQUID magnetometry 997 E. Universality of d-wave superconductivity 997 1. Hole-doped cuprates 998 2. Electron-doped cuprates 998 3. Temperature dependence of the ⌽ 0 /2 effect 1000 V. Related Symmetry-Sensitive Experiments 1000 A. Biepitaxial grain-boundary experiments 1000 B. c-axis pair tunneling 1001 1. Tunneling into conventional superconductors 1001 2. c-axis twist junctions 1004 VI. Implications of d x 2 Ϫy 2 Pairing Symmetry 1004 A. Pairing interaction 1004 B. Quasiparticles in d-wave superconductors 1006 C. Surfaces and interfaces 1006 1. Zero-bias conductance peaks 1006 2. Time-reversal symmetry breaking 1007 3. Josephson junctions in d-wave superconductors 1007 D. Vortex state 1007 VII. Conclusions 1008 Acknowledgments 1009 References 1009

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Comment on ‘‘Flux quantization in rings for Hubbard (attractive and repulsive) andt-J-like Hamiltonians’’

Cited by 2 publications

References 4 publications

Breakdown of electron-pairs in the presence of an electric field of a superconducting ring

Breakdown of electron-pairs in the presence of an electric field of a superconducting ring

Pairing symmetry in cuprate superconductors

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