Superconductivity from a confinement transition out of a fractionalized Fermi liquid with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math>topological and Ising-nematic orders

Chatterjee, Shubhayu; Qi, Yang; Sachdev, Subir; Steinberg, Julia

doi:10.1103/physrevb.94.024502

Cited by 21 publications

(30 citation statements)

References 59 publications

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“…Our focus in the present paper is on Z 2 -FL* states with low energy bosonic chargons. One such Z 2 -FL* state with incommensurate spin correlations and Ising-nematic order was studied recently [24], and it exhibited a confinement transition to a superconducting state which is usually of the Fulde-Ferrell-Larkin-Ovchinnikov type, with spatial modulation of the superconducting order.…”

Section: Introductionmentioning

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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Section: Introductionmentioning

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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“…23. Similar analysis has been carried out in square lattice, 24 rectangular lattice, 25 and breathing Kagome lattice. 26 We would like to do the same for nonsymmorphic Kagome lattice, to figure out the correspondence between the eight bosonic states and the twelve fermionic states resulting from PSG analysis in Ref.…”

Section: Mapping Between Bosonic and Fermionic Spin Liquid Statesmentioning

confidence: 58%

“…However, through (25) and (26e), time reversal symmetry restricts the singlet parameters χ i j and ∆ i j to be real, and the triplet parameters E i j and D i j to be imaginary, for u a i j to be nonzero.…”

Section: B Mean Field Ansatzmentioning

confidence: 99%

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Fermionic spin liquid analysis of the paramagnetic state in volborthite

Chern¹,

Schaffer²,

Sorn³

et al. 2017

Phys. Rev. B

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Recently, thermal Hall effect has been observed in the paramagnetic state of Volborthite, which consists of distorted Kagome layers with S = 1/2 local moments. Despite the appearance of a magnetic order below 1 K, the response to external magnetic field and unusual properties of the paramagnetic state above 1 K suggest possible realization of exotic quantum phases. Motivated by these discoveries, we investigate possible spin liquid phases with fermionic spinon excitations in a non-symmorphic version of the Kagome lattice, which belongs to the two-dimensional crystallographic group p2gg. This non-symmorphic structure is consistent with the spin model obtained in the density functional theory (DFT) calculation. Using projective symmetry group (PSG) analysis and fermionic parton mean field theory, we identify twelve distinct Z 2 spin liquid states, four of which are found to have correspondence in the eight Schwinger boson spin liquid states we classified earlier. We focus on the four fermionic states with bosonic counterpart and find that the spectrum of their corresponding root U(1) states feature spinon Fermi surfaces. The existence of spinon Fermi surface in candidate spin liquid states may offer a possible explanation of the finite thermal Hall conductivity observed in Volborthite. CONTENTS

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“…Since Lu et al proposed a scheme of unifying bosonic and fermionic theories of spin liquid through vison PSG, 25 there have been several attempts [31][32][33] to treat time reversal symmetry in bosonic PSG on equal footing with fermionic PSG. Below we clarify such an approach and solve the bosonic PSG from algebraic identities (A9) and (A10) involving time reversal T , so that we can establish connection between bosonic and fermionic spin liquid states in the future.…”

Section: Time Reversal Symmetry In Bosonic Psgmentioning

confidence: 99%

Quantum spin liquid and magnetic order in a two-dimensional nonsymmorphic lattice: Considering the distorted kagome lattice of volborthite

et al. 2017

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The Kagome-lattice-based material, Volborthite, Cu 3 V 2 O 7 (OH) 2 · 2H 2 O, has been considered as a promising platform for discovery of unusual quantum ground states due to the frustrated nature of spin interactions. Here we explore possible quantum spin liquid and magnetically ordered phases in a two-dimensional nonsymmorphic lattice described by p2gg layer space group, which is consistent with the spatial anisotropy of the spin model derived from density functional theory (DFT) for Volborthite. Using the projective symmetry group (PSG) analysis and Schwinger boson mean field theory, we classify possible spin liquid phases with bosonic spinons and investigate magnetically ordered phases connected to such states. It is shown, in general, that only translationally invariant mean field states are allowed in two-dimensional non-symmorphic lattices, which simplifies the classification considerably. The mean field phase diagram of the DFT-derived spin model is studied and it is found that possible quantum spin liquid phases are connected to two types of magnetically ordered phases, a coplanar incommensurate (q, 0) spiral order as the ground state and a closely competing coplanar commensurate (π, π) spin density wave order. In addition, periodicity enhancement of the two-spinon continuum, a signature of symmetry fractionalization, is found in the spin liquid phases connected to the (π, π) spin density wave order. We discuss relevance of these results to recent and future experiments on Volborthite. CONTENTS

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Superconductivity from a confinement transition out of a fractionalized Fermi liquid withZ2topological and Ising-nematic orders

Cited by 21 publications

References 59 publications

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

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

Fermionic spin liquid analysis of the paramagnetic state in volborthite

Quantum spin liquid and magnetic order in a two-dimensional nonsymmorphic lattice: Considering the distorted kagome lattice of volborthite

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