Transition from a Dirac spin liquid to an antiferromagnet: Monopoles in a 
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-Gross-Neveu theory

Dupuis, Éric; Paranjape, M. B.; Witczak-Krempa, William

doi:10.1103/physrevb.100.094443

Cited by 47 publications

(60 citation statements)

References 90 publications

(143 reference statements)

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“…Looking forward, better algorithm in QMC simulations would certainly be desirable to access larger system sizes and lower temperatures. In particular, the critical properties of the U1D-VBS transition, that of the QED 3 -GN types, have already been discussed in the high-order perturbative RG calculations [42][43][44][45], but the system sizes in this work is too small to extract accurate values of the critical exponents. Further developments, in terms of algorithm improvement and more focus close to the QED 3 -GN critical points, are on-going.…”

Section: Conclusion and Discussionmentioning

confidence: 95%

“…The gapless excitation close to (π, 0) are the critical fluctuations associated with the QED 3 -GN transition. With larger system sizes and lower temperature in the future QMC studies, one will be able to measure the anomalous dimension exponent η from the momentum and frequency dependence of such critical fluctuation, and could compare with the predictions of QED 3 -GN transitions from the recent perturbative RG calculations [42][43][44][45].…”

Section: Dimer Spectra In Uid and Vbs Phasesmentioning

confidence: 99%

“…[1], there are recently several analytical works addressing the critical properties of them [42][43][44][45][46][47]. And the conclusions drawn there are that the U(1)-to-AFM and U(1)-to-VBS phase transitions are indeed possible and the higher-order perturbative RG calculations performed also suggest the possible range of critical exponents of these QED 3 -GN transitions within 1/N f and 4 − expansions [42][43][44][45][46][47].…”

Section: Introductionmentioning

confidence: 95%

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Dynamics of compact quantum electrodynamics at large fermion flavor

Wang

et al. 2019

Phys. Rev. B

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Thanks to the development in quantum Monte Carlo technique, the compact U(1) lattice gauge theory coupled to fermionic matter at (2+1)D is now accessible with large-scale numerical simulations, and the ground state phase diagram as a function of fermion flavor (N f ) and the strength of gauge fluctuations is mapped out [1]. Here we focus on the large fermion flavor case (N f = 8) to investigate the dynamic properties across the deconfinement-to-confinement phase transition. In the deconfined phase, fermions coupled to the fluctuating gauge field to form U(1) spin liquid with continua in both spin and dimer spectral functions, and in the confined phase fermions are gapped out into valence bond solid phase with translational symmetry breaking and gapped spectra. The dynamical behaviors provide supporting evidence for the existence of the U(1) deconfined phase and could shine light on the nature of the U(1)-to-VBS phase transition which is of the QED 3 -Gross-Neveu chiral O(2) universality whose properties still largely unknown.

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Section: Conclusion and Discussionmentioning

confidence: 95%

Section: Dimer Spectra In Uid and Vbs Phasesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 95%

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Dynamics of compact quantum electrodynamics at large fermion flavor

Wang

et al. 2019

Phys. Rev. B

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“…So far, most computations focussed on the prediction for the scaling dimension of the lightest charged operator. This has been verified in Monte-Carlo simulations of the O(2) [55] and O(4) [56] model and perturbatively for Monopole operators [59,60,61,62,63], to order O(N 0 ) in the CP N model [57] and at leading order in the number of flavors in QED 3 and the gauged Gross-Neveu model [58]. Relatedly, large charge states have been studied in AdS/CFT in the context of holographic superconductors [64,65,66].…”

Section: Discussionmentioning

confidence: 78%

Superfluids, vortices and spinning charged operators in 4d CFT

Cuomo

2020

J. High Energ. Phys.

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We include vortices in the superfluid EFT for four dimensional CFTs at large global charge. Using the state-operator correspondence, vortices are mapped to charged operators with large spin and we compute their scaling dimensions. Different regimes are identified: phonons, vortex rings, Kelvin waves, and vortex crystals. We also compute correlators with a Noether current insertion in between vortex states. Results for the scaling dimensions of traceless symmetric operators are given in arbitrary spacetime dimensions. * gabriel.cuomo@epfl.ch arXiv:1906.07283v2 [hep-th] 22 Jun 2019 1 IntroductionConformal field theories (CFTs) play a key role in particle and condensed matter physics. As fixed points of the renormalization group flow, they act as landmarks in the space of quantum field theories (QFTs). Through the AdS/CFT correspondence [1,2], they promise to shed light on quantum gravity. They also describe critical points for second order phase transitions. Finally, CFTs are also among the few examples of interacting QFTs where exact results are available without supersymmetry. Recently, the bootstrap program [3,4] achieved much progress in the study of CFTs, both through numerical [5,6] and analytical [7,8,9] techniques.Basic observables in CFTs are correlation functions of local operators in the vacuum. Despite this, sometimes one can make predictions for the CFT data defining the theory studying the dynamics of finite density states [10]. This is a consequence of the state/operator correspondence [11,12], which relates states in radial quantization to local operators with the same quantum numbers. So far, this idea has been mainly applied in the investigation of the superfluid phase in conformal field theories [10,13,14,15,16,17,18,19,20]. Indeed superfluids are the most natural candidates to describe states at large internal quantum numbers in CFTs. They admit a simple and universal effective field theory (EFT) description [21,22] which allows the computation of correlators in a perturbative expansion controlled by the charge density. The same strategy was recently applied also in the context of non-relativistic CFTs [23,24,25].As the angular momentum is increased, the superfluid starts rotating and vortices develop [26]. These can be included in the EFT as heavy topological defects [27,28,29]. In [30], this EFT was used to describe operators with large spin and large charge in three dimensional CFTs. In this work, we study the predictions of the vortex EFT for four dimensional CFTs.

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“…The continuous confined transitions from U1D to AFM or VBS we found should be described by QED 3 -Gross-Neveu O (2) or O(3) universality, depending on the symmetry group that the fermion bilinears break in the confined phase, and further carefully study of the critical properties of these transitions via QMC simulations and analytical calculations is certainly worthwhile [93]. Recently perturbative renormalization group calculations to higher orders have been carried out in attempt to accquire the critical properties of the deconfinement to confinement transition in form of QED 3 -Gross-Neveu universality classes [120][121][122][123][124][125] and to address the relevance or irrelevance of the monopole operators to the stability of the U1D phase [126][127][128], show substantial interests and great ongoing efforts along this direction.…”

Section: A Dirac Fermions Coupled With Phononsmentioning

confidence: 99%

Revealing fermionic quantum criticality from new Monte Carlo techniques

Liu

Pan

et al. 2019

J. Phys.: Condens. Matter

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This review summarizes recent developments in the study of fermionic quantum criticality, focusing on new progress in numerical methodologies, especially quantum Monte Carlo methods, and insights that emerged from recently large-scale numerical simulations. Quantum critical phenomena in fermionic systems have attracted decades of extensive research efforts, partially lured by their exotic properties and potential technology applications and partially awaked by the profound and universal fundamental principles that govern these quantum critical systems. Due to the complex and non-perturbative nature, these systems belong to the most difficult and challenging problems in the study of modern condensed matter physics, and many important fundamental problems remain open. Recently, new developments in model design and algorithm improvements enabled unbiased large-scale numerical solutions to be achieved in the close vicinity of these quantum critical points, which paves a new pathway towards achieving controlled conclusions through combined efforts of theoretical and numerical studies, as well as possible theoretical guidance for experiments in heavy-fermion compounds, Cu-based and Fe-based superconductors, ultra-cold fermionic atomic gas, twisted graphene layers, etc., where signatures of fermionic quantum criticality exist. CONTENTS

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Transition from a Dirac spin liquid to an antiferromagnet: Monopoles in a QED3 -Gross-Neveu theory

Cited by 47 publications

References 90 publications

Dynamics of compact quantum electrodynamics at large fermion flavor

Dynamics of compact quantum electrodynamics at large fermion flavor

Superfluids, vortices and spinning charged operators in 4d CFT

Revealing fermionic quantum criticality from new Monte Carlo techniques

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