Vortex state in a doped Mott insulator

Franz, Marcel; Tešanović, Zlatko

doi:10.1103/physrevb.63.064516

Cited by 29 publications

(25 citation statements)

References 49 publications

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“…Classical Monte Carlo calculations of the SO͑5͒ model also show the existence of the AF vortex lattice ͑Hu, 1999a͒. While the original theory of the AF vortex state was developed for the commensurate AF order, it can also be generalized to the case in which the AF ordering wave vector deviates from the ͑ , ͒ point, as in the LSCO system ͑Hu and 5 See, for example, Alama et al, 1999;Bruus et al, 1999;Hu, 1999a;Andersen et al, 2000;Han and Lee, 2000;Mortensen et al, 2000;Demler et al, 2001;Franz and Tesanovic, 2001;Chen and Ting, 2002;Franz, Sheehy, and Tesanovic, 2002;Ghosal et al, 2002;Hu and Zhang, 2002;Juneau et al, 2002;Kivelson et al, 2002;. Zhang et al, 2002͒.…”

Section: A the Antiferromagnetic Vortex Statementioning

confidence: 99%

SO(5)theory of antiferromagnetism and superconductivity

2004

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Antiferromagnetism and superconductivity are both fundamental and common states of matter. In many strongly correlated systems, including the high-T c cuprates, the heavy-fermion compounds, and the organic superconductors, they occur next to each other in the phase diagram and influence each other's physical properties. The SO͑5͒ theory unifies these two basic states of matter by a symmetry principle and describes their rich phenomenology through a single low-energy effective model. In this paper, the authors review the framework of the SO͑5͒ theory and compare it with numerical and experimental results.

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Section: A the Antiferromagnetic Vortex Statementioning

confidence: 99%

SO(5)theory of antiferromagnetism and superconductivity

2004

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“…Evidently, Zeeman effects are much weaker and can be justifiably neglected. We conclude this subsection by a brief discussion of earlier works [32][33][34][40][41][42][43][44][45][46][47][48][49][50] on vortex magnetism, and the change in perspective that has been offered here by our analysis. It was proposed in by Sachdev 40 and Nagaosa and Lee 41 that vortex cores in the underdoped cuprates should have spin gap correlations characteristic of Mott insulators.…”

Section: ͑118͒mentioning

confidence: 99%

Competing orders in a magnetic field: Spin and charge order in the cuprate superconductors

2002

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We describe two-dimensional quantum spin fluctuations in a superconducting Abrikosov flux lattice induced by a magnetic field applied to a doped Mott insulator. Complete numerical solutions of a self-consistent large-N theory provide detailed information on the phase diagram and on the spatial structure of the dynamic spin spectrum. Our results apply to phases with and without long-range spin-density-wave order, and to the magnetic quantum critical point separating these phases. We discuss the relationship of our results to a number of recent neutron-scattering measurements on the cuprate superconductors in the presence of an applied field. We compute the pinning of static charge order by the vortex cores in the ''spin-gap'' phase where the spin order remains dynamically fluctuating, and argue that these results apply to recent scanning-tunneling-microscopy ͑STM͒ measurements. We show that, with a single typical set of values for the coupling constants, our model describes the field dependence of the elastic-neutron-scattering intensities, the absence of satellite Bragg peaks associated with the vortex lattice in existing neutron-scattering observations, and the spatial extent of charge order in STM observations. We mention implications of our theory for NMR experiments. We also present a theoretical discussion of more exotic states that can be built out of the spin-and charge-order parameters, including spin nematics and phases with ''exciton fractionalization.''

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“…Consequently, there are only a few electrons "inside a core" at any given time, making (anti)vortices "light" and highly quantum objects, with strong zero-point fluctuations. Furthermore, the core excitations appear to be gapped 28 by the combination of strong coupling and local Mott-Hubbard correlations 29,30,31,32,33 . This has an important implication for the second component of the core tunneling process, the familiar Bardeen-Stephen form of dissipation, which is such a ubiquitous and dominating effect in conventional superconductors.…”

Section: Quantum Phase Fluctuationsmentioning

confidence: 99%

Model of phase fluctuations in a latticed-wave superconductor: Application to the Cooper-pair charge-density wave in underdoped cuprates

Melikyan

Tešanović

2005

Phys. Rev. B

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We introduce and study an XY-type model of thermal and quantum phase fluctuations in a twodimensional correlated lattice d-wave superconductor based on the QED3 effective theory of high temperature superconductors. General features of and selected results obtained within this model were reported earlier in an abbreviated format (Z. Tešanović, cond-mat/0405235). The model is geared toward describing not only the long distance but also the intermediate lengthscale physics of underdoped cuprates. In particular, we elucidate the dynamical origin and investigate specific features of the charge-density-wave of Cooper pairs, which we argue is the state behind the periodic charge density modulation discovered in recent scanning-tunneling-microscopy experiments. We illustrate how Mott-Hubbard correlations near half-filling suppress superfluid density and favor an incompressible state which breaks translational symmetry of the underlying atomic lattice. We show how the formation of the Cooper pair charge-density-wave in such a strongly quantum fluctuating superconductor can naturally be understood as an Abrikosov-Hofstadter problem in a type-II dual superconductor, with the role of the dual magnetic field played by the electron density. The resulting Abrikosov lattice of dual vortices translates into the periodic modulation of the Bogoliubov-deGennes gap function and the electronic density. We numerically study the energetics of various AbrikosovHofstadter dual vortex arrays and compute their detailed signatures in the single-particle local tunneling density of states. A 4×4 checkerboard-type modulation pattern naturally arises as an energetically favored ground state at and near the x = 1/8 doping and produces the local density of states in good agreement with experimental observations.

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Vortex state in a doped Mott insulator

Cited by 29 publications

References 49 publications

SO(5)theory of antiferromagnetism and superconductivity

SO(5)theory of antiferromagnetism and superconductivity

Competing orders in a magnetic field: Spin and charge order in the cuprate superconductors

Model of phase fluctuations in a latticed-wave superconductor: Application to the Cooper-pair charge-density wave in underdoped cuprates

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