Spin correlations in the algebraic spin liquid: Implications for high-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>superconductors

Rantner, Walter; Wen, Xiao-Gang

doi:10.1103/physrevb.66.144501

Cited by 176 publications

(256 citation statements)

References 52 publications

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“…adj : LO B (3) adj : NLO B (3) adj : N 2 LO Padé (2,1) B (3) adj : N 2 LO Padé (1,2) For B (0) adj , the prediction from large-N f is [4,6] 19) and the extrapolations obtained from the three-form and scalar adjoints give…”

Section: Bilinears As D →mentioning

confidence: 99%

“…At large N f , the gauged U(1) current, ψ i γ (3) µ ψ i , is set to zero by the EOM of the gauge field, hence the operator Q 1 is an EOM-vanishing operator. However, besides Q 3 , there still is…”

Section: Four-fermion Operators As D →mentioning

confidence: 99%

“…For large N f the theory flows in the IR to an interacting conformal field theory (CFT) that enjoys the same parity and global symmetry. The CFT observables are then amenable to perturbation theory in 1/N f ; this has been done for scaling dimensions [1][2][3][4][5][6][7][8][9][10][11], two-point functions of conserved currents [12][13][14], and the free energy [15]. The IR fixed point is expected to persist beyond this large-N f regime, but not much is known about it.…”

Section: Introductionmentioning

confidence: 99%

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Scaling dimensions in QED3 from the ϵ-expansion

Pietro

Stamou

2017

J. High Energ. Phys.

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Abstract:We study the fixed point that controls the IR dynamics of QED in d = 4 − 2 dimensions. We derive the scaling dimensions of four-fermion and bilinear operators beyond leading order in the -expansion. For the four-fermion operators, this requires the computation of a two-loop mixing that was not known before. We then extrapolate these scaling dimensions to d = 3 to estimate their value at the IR fixed point of QED 3 as function of the number of fermions N f . The next-to-leading order result for the four-fermion operators corrects significantly the leading one. Our best estimate at this order indicates that they do not cross marginality for any value of N f , which would imply that they cannot trigger a departure from the conformal phase. For the scaling dimensions of bilinear operators, we observe better convergence as we increase the order. In particular, the -expansion provides a convincing estimate for the dimension of the flavor-singlet scalar in the full range of N f .

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Section: Bilinears As D →mentioning

confidence: 99%

Section: Four-fermion Operators As D →mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Scaling dimensions in QED3 from the ϵ-expansion

Pietro

Stamou

2017

J. High Energ. Phys.

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“…In this paper we will focus on one such state that has played a central role in some previous theoretical work 24,25,26,27,28,29 on the cuprate problem. This state -dubbed the d-wave RVB or staggered flux (sF) spin liquid -is a quantum paramagnet that nevertheless has gapless spin carrying excitations.…”

Section: Introductionmentioning

confidence: 99%

Néel order, quantum spin liquids, and quantum criticality in two dimensions

Ghaemi

Senthil

2006

Phys. Rev. B

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This paper is concerned with the possibility of a direct second order transition out of a collinear Neel phase to a paramagnetic spin liquid in two dimensional quantum antiferromagnets. Contrary to conventional wisdom, we show that such second order quantum transitions can potentially occur to certain spin liquid states popular in theories of the cuprates. We provide a theory of this transition and study its universal properties in an ǫ expansion. The existence of such a transition has a number of interesting implications for spin liquid based approaches to the underdoped cuprates. In particular it considerably clarifies existing ideas for incorporating antiferromagnetic long range order into such a spin liquid based approach.

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“…However, with large enough fermion numbers N , the system is believed to be described by a conformal field theory (CFT), with the fixed point gauge field coupling e * 2 ∼ 1/N . Physics based on this conformal field theory at large-N case has been studied in many references 1,2,3,4 , and it has been shown that the order parameters of various spin ordered patterns with different symmetry breaking can be all described as fermion bilinears at these critical spin liquids.…”

Section: Introductionmentioning

confidence: 99%

Renormalization group studies on four-fermion interaction instabilities on algebraic spin liquids

2008

Phys. Rev. B

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We study the instabilities caused by four fermion interactions on algebraic spin liquids. Renormalization group (RG) is used for three types of previously proposed spin liquids on the square lattice: the staggered flux state of SU(2) spin system, the π−flux state of SU(4) spin system, and the π−flux state of SU(2) spin system. The low energy field theories of the first two types of spin liquids are QED3 with emerged SU(4) and SU(8) flavor symmetries , the low energy theory of the π−flux SU(2) spin liquid is the QCD3 with SU(2) gauge field and emergent Sp(4) (SO (5)) flavor symmetry. Suitable large-N generalization of these spin liquids are discussed, and a systematic 1/N expansion is applied to the RG calculations. The most relevant four fermion perturbations are identified, and the possible phases driven by relevant perturbations are discussed.

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Spin correlations in the algebraic spin liquid: Implications for high-Tcsuperconductors

Cited by 176 publications

References 52 publications

Scaling dimensions in QED3 from the ϵ-expansion

Scaling dimensions in QED3 from the ϵ-expansion

Néel order, quantum spin liquids, and quantum criticality in two dimensions

Renormalization group studies on four-fermion interaction instabilities on algebraic spin liquids

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