Quantum confinement transition in a<i>d</i>-wave superconductor

Lannert, Courtney; Fisher, Matthew P. A.; Senthil, T.

doi:10.1103/physrevb.63.134510

Cited by 62 publications

(110 citation statements)

References 22 publications

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“…The first excitations in the singlet sector correspond in the gauge theory language to the bosons of the gauge field that Senthil and M. P. A. Fisher call "visons" [127,128]. Due to the properties of the excitations we expect them to form continua in the spin sectors.…”

Section: Summary Of the Properties Of Type I Rvb Spin Liquidsmentioning

confidence: 99%

“…[125,118] and references therein). This approach is one of the ways to give evidence of the parentage between this RVB spin liquid with its fractionalized excitations and the deconfining Ising Gauge theories [126,127,128,118,116] 7 Strictly speaking ξ −1 should be ≤ log 2 but Ineq. 5.9 is a dramatic overestimate of the scalar product in the case of an RVBSL [81].…”

Section: Other Approaches Of Type I Rvb Spin Liquidsmentioning

confidence: 99%

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Frustrated Quantum Magnets

Lhuillier

Misguich

2002

High Magnetic Fields

140

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A description of different phases of two dimensional magnetic insulators is given.The first chapters are devoted to the understanding of the symmetry breaking mechanism in the semi-classical Néel phases. Order by disorder selection is illustrated. All these phases break SU (2) symmetry and are gapless phases with ∆S z = 1 magnon excitations.Different gapful quantum phases exist in two dimensions: the Valence Bond Crystal phases (VBC) which have long range order in local S=0 objects (either dimers in the usual Valence Bond acception or quadrumers..), but also Resonating Valence Bond Spin Liquids (RVBSL), which have no long range order in any local order parameter and an absence of susceptibility to any local probe. VBC have gapful ∆S = 0, or1 excitations, RVBSL on the contrary have deconfined spin-1/2 excitations. Examples of these two kinds of quantum phases are given in chapters 4 and 5. A special class of magnets (on the kagome or pyrochlore lattices) has an infinite local degeneracy in the classical limit: they give birth in the quantum limit to different behaviors which are illustrated and questionned in the last lecture.

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Section: Summary Of the Properties Of Type I Rvb Spin Liquidsmentioning

confidence: 99%

Section: Other Approaches Of Type I Rvb Spin Liquidsmentioning

confidence: 99%

Frustrated Quantum Magnets

Lhuillier

Misguich

2002

High Magnetic Fields

140

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“…[69,64], with a prediction for the bond order observed), on square lattice models with ring-exchange and easy-plane spin symmetry [70] (duality mapping on spin models with easy plane symmetry is in Refs. [71,52,72]), and square lattice models with SU(N ) symmetry [73] (the theories (40), with a = 1 . .…”

Section: S Half-odd-integermentioning

confidence: 99%

“…An explicit duality mapping can be carried out, and as in (70), the action (83) is replaced by [71,52,80,81]…”

Section: Easy Plane Model At N =mentioning

confidence: 99%

Quantum phases and phase transitions of Mott insulators

Sachdev

2004

Quantum Magnetism

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Summary. This article contains a theoretical overview of the physical properties of antiferromagnetic Mott insulators in spatial dimensions greater than one. Many such materials have been experimentally studied in the past decade and a half, and we make contact with these studies. The simplest class of Mott insulators have an even number of S = 1/2 spins per unit cell, and these can be described with quantitative accuracy by the bond operator method: we discuss their spin gap and magnetically ordered states, and the transitions between them driven by pressure or an applied magnetic field. The case of an odd number of S = 1/2 spins per unit cell is more subtle: here the spin gap state can spontaneously develop bond order (so the ground state again has an even number of S = 1/2 spins per unit cell), and/or acquire topological order and fractionalized excitations. We describe the conditions under which such spin gap states can form, and survey recent theories (T. Senthil et al., cond-mat/0312617) of the quantum phase transitions among these states and magnetically ordered states. We describe the breakdown of the Landau-GinzburgWilson paradigm at these quantum critical points, accompanied by the appearance of emergent gauge excitations.

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“…It remains an important task to enumerate concrete, experimentally-measurable consequences of these exciting theoretical ideas. Previously, we have explored the consequences of two-dimensional fractionalization on the spectral function, as probed by angle-resolved photo-emission spectroscopy [5]. In this paper, we calculate the inelastic neutron scattering signal from spinons in a fractionalized antiferromagnet (AF * ).…”

Section: Introductionmentioning

confidence: 99%

Inelastic Neutron Scattering Signal from Deconfined Spinons in a Fractionalized Antiferromagnet

Lannert

Fisher

2003

Int. J. Mod. Phys. B

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We calculate the contribution of deconfined spinons to inelastic neutron scattering (INS) in the fractionalized antiferromagnet (AF * ), introduced elsewhere. We find that the presence of free spin-1/2 charge-less excitations leads to a continuum INS signal above the Néel gap. This signal is found above and in addition to the usual spin-1 magnon signal, which to lowest order is the same as in the more conventional confined antiferromagnet. We calculate the relative weights of these two signals and find that the spinons contribute to the longitudinal response, where the magnon signal is absent to lowest order. Possible higher-order effects of interactions between magnons and spinons in the AF * phase are also discussed.

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Quantum confinement transition in ad-wave superconductor

Cited by 62 publications

References 22 publications

Frustrated Quantum Magnets

Frustrated Quantum Magnets

Quantum phases and phase transitions of Mott insulators

Inelastic Neutron Scattering Signal from Deconfined Spinons in a Fractionalized Antiferromagnet

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