<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>d</mml:mi></mml:math>-wave superconductivity in boson+fermion dimer models

Goldstein, Garry; Chamon, Claudio; Castelnovo, Claudio

doi:10.1103/physrevb.95.174511

Cited by 9 publications

(36 citation statements)

References 28 publications

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“…Because of this attraction, it is possible that some or all of the chargons form bound states with the spinons, leading to a pocket Fermi surface of electron-like quasiparticles with charge e and spin S z = ±1/2. If all of the chargons undergo this bound-state formation, then we obtain a FL* metal [7,16,[42][43][44][45][46]. Microscopic details of the Hamiltonian will determined whether we obtain an ACL, or FL*, or an intermediate phase with co-existing chargon and electron Fermi surfaces [15]-the charge transport properties of all these phases are expected to be very similar, and so we will not focus much on the distinction here.…”

Section: Fractionalizing the Order Parametermentioning

confidence: 99%

Spin density wave order, topological order, and Fermi surface reconstruction

et al. 2016

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In the conventional theory of density wave ordering in metals, the onset of spin density wave (SDW) order co-incides with the reconstruction of the Fermi surfaces into small 'pockets'. We present models which display this transition, while also displaying an alternative route between these phases via an intermediate phase with topological order, no broken symmetry, and pocket Fermi surfaces. The models involve coupling emergent gauge fields to a fractionalized SDW order, but retain the canonical electron operator in the underlying Hamiltonian. We establish an intimate connection between the suppression of certain defects in the SDW order, and the presence of Fermi surface sizes distinct from the Luttinger value in Fermi liquids. We discuss the relevance of such models to the physics of the hole-doped cuprates near optimal doping.

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Section: Fractionalizing the Order Parametermentioning

confidence: 99%

Spin density wave order, topological order, and Fermi surface reconstruction

et al. 2016

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“…Further, the shift of the nodes from the line k x = k y is parametrically small if either B 1 or B 2 is small. A recent work [38] looked at the dimer model of FL* presented in Ref. [12], and their mean-field treatment of bosonic spinons as low energy excitations of the spin liquid led to a d-wave superconductor (more accurately, an SC* with topological order) with eight nodes.…”

Section: B Spectrum For Nodal Superconductivitymentioning

confidence: 99%

Fractionalized Fermi liquid with bosonic chargons as a candidate for the pseudogap metal

Chatterjee

Sachdev

2016

Phys. Rev. B

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Doping a Mott-insulating Z 2 spin liquid can lead to a fractionalized Fermi liquid (FL*). Such a phase has several favorable features that make it a candidate for the pseudogap metal for the underdoped cuprates. We focus on a particular, simple Z 2 -FL* state which can undergo a confinement transition to a spatially uniform superconductor which is smoothly connected to the "plain vanilla" BCS superconductor with d-wave pairing. Such a transition occurs by the condensation of bosonic particles carrying +e charge but no spin ("chargons"). We show that modifying the dispersion of the bosonic chargons can lead to confinement transitions with charge density waves and pair density waves at the same wave vector K, coexisting with d-wave superconductivity. We also compute the evolution of the Hall number in the normal state during the transition from the plain vanilla FL* state to a Fermi liquid, and argue, following Coleman, Marston, and Schofield [Phys. Rev. B 72, 245111 (2005)], that it exhibits a discontinuous jump near optimal doping. We note the distinction between these results and those obtained from models of the pseudogap with fermionic chargons.

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“…The quantum dimer model can be mapped exactly onto a slave boson model by considering a secondary Hilbert space where we assign a bosonic mode b r,η to each link (r, r + e η ) of the square lattice (e η = x, ŷ) [15] (see Fig. 1).…”

Section: A Bosonic Representation and Large Smentioning

confidence: 99%

Generalized route to effective field theories for quantum systems with local constraints

et al. 2019

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Some of the exciting phenomena uncovered in strongly correlated systems in recent years -for instance quantum topological order, deconfined quantum criticality, and emergent gauge symmetries -appear in systems in which the Hilbert space is effectively projected at low energies in a way that imposes local constraints on the original degrees of freedom. Cases in point include spin liquids, valence bond systems, dimer models, and vertex models. In this work, we use a slave boson description coupled to a large-S path integral formulation to devise a generalised route to obtain effective field theories for such systems. We demonstrate the validity and capability of our approach by studying quantum dimer models and by comparing our results with the existing literature. Field-theoretic approaches to date are limited to bipartite lattices, they depend on a gauge-symmetric understanding of the constraint, and they lack generic quantitative predictive power for the coefficients of the terms that appear in the Lagrangians of these systems. Our method overcomes all these shortcomings and we show how the results up to quadratic order compare with the known height description of the square lattice quantum dimer model, as well as with the numerical estimate of the speed of light of the photon excitations on the diamond lattice. Finally, instanton considerations allow us to infer properties of the finite-temperature behaviour in two dimensions.

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d-wave superconductivity in boson+fermion dimer models

Cited by 9 publications

References 28 publications

Spin density wave order, topological order, and Fermi surface reconstruction

Spin density wave order, topological order, and Fermi surface reconstruction

Fractionalized Fermi liquid with bosonic chargons as a candidate for the pseudogap metal

Generalized route to effective field theories for quantum systems with local constraints

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