Electronic quasiparticles in the quantum dimer model: Density matrix renormalization group results

Lee, Junhyun; Sachdev, Subir; White, Steven R.

doi:10.1103/physrevb.94.115112

Cited by 12 publications

(15 citation statements)

References 22 publications

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“…Close to the V-M phase transition, equation (A.1) fails to describe the behavior of the EE, but sufficiently far away from the transition point the fit agrees well with the numerical data. Such EE behavior has also been observed in other models [34,55,[78][79][80], and is ascribed to the fact that in the vicinity of the phase transition, the low-energy excitations become massive because of the presence of a gapped low-energy spectrum, and the leading order of S ℓ ( ) is not described by equation (A.1) any more. We show the central charge as a function of U J 2 ( ), for the same set of data, in panels (c) and (d).…”

Section: Appendix a Numerical Analysis Of The Phase Diagramsupporting

confidence: 70%

Spin-gap spectroscopy in a bosonic flux ladder

2018

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Ultracold bosonic atoms trapped in a two-leg ladder pierced by a magnetic field provide a minimal and quasi-one-dimensional instance to study the interplay between orbital magnetism and interactions. Using time-dependent matrix-product-state simulations, we investigate the properties of the so-called 'Meissner' and 'vortex' phases which appear in such a system, focusing on the experimentally accessible observables. We discuss how to experimentally monitor the phase transition, and show that the response to the modulation of the density imbalance between the two legs of the ladder is qualitatively different in the two phases. We argue that this technique can be used as a tool for many-body spectroscopy, allowing us to quantitatively measure the spin gap in the Meissner phase. We finally discuss its experimental implementation.

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Section: Appendix a Numerical Analysis Of The Phase Diagramsupporting

confidence: 70%

Spin-gap spectroscopy in a bosonic flux ladder

2018

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“…However, if the confinement length scale is very large, the fermions should effectively realize a U (1) FL* state. This picture of an effective deconfined phase has been supported by DMRG studies of a particular dimer model of the U (1) FL* [31].…”

Section: Model Of Z 2 -Fl* With Bosonic Chargonsmentioning

confidence: 65%

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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“…Most of the numerical results in the present paper have been obtained with a Density Matrix Renormalization Group (DMRG) algorithm [15][16][17], while most of the earlier numerical investigations of quantum dimer models in the context of 2D models have been performed either with exact diagonalizations (ED) or Quantum Monte Carlo (QMC). When DMRG has been used, the quantum dimer constraint has not been encoded explicitly, but through an additional term in the Hamiltonian that penalizes energetically the states that do not satisfy the local constraints of the model [11,18,19]. In this section we explain how to explicitly implement the local constraint in a variational Matrix Product States (MPS) algorithm.…”

Section: Fibonacci Anyon Chainmentioning

confidence: 99%

DMRG investigation of constrained models: from quantum dimer and quantum loop ladders to hard-boson and Fibonacci anyon chains

Chepiga

Mila

2019

SciPost Phys.

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Motivated by the presence of Ising transitions that take place entirely in the singlet sector of frustrated spin-1/2 ladders and spin-1 chains, we study two types of effective dimer models on ladders, a quantum dimer model and a quantum loop model. Building on the constraints imposed on the dimers, we develop a Density Matrix Renormalization Group algorithm that takes full advantage of the relatively small Hilbert space that only grows as Fibonacci number. We further show that both models can be mapped rigorously onto a hard-boson model first studied by Fendley, Sengupta and Sachdev [Phys. Rev. B 69, 075106 (2004)], and combining early results with recent results obtained with the present algorithm on this hard-boson model, we discuss the full phase diagram of these quantum dimer and quantum loop models, with special emphasis on the phase transitions. In particular, using conformal field theory, we fully characterize the Ising transition and the tricritical Ising end point, with a complete analysis of the boundary-field correspondence for the tricritical Ising point including partially polarized edges. Finally, we show that the Fibonacci anyon chain is exactly equivalent to special critical points of these models.Contents arXiv:1809.00746v2 [cond-mat.str-el]

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Electronic quasiparticles in the quantum dimer model: Density matrix renormalization group results

Cited by 12 publications

References 22 publications

Spin-gap spectroscopy in a bosonic flux ladder

Spin-gap spectroscopy in a bosonic flux ladder

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

DMRG investigation of constrained models: from quantum dimer and quantum loop ladders to hard-boson and Fibonacci anyon chains

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