Algebraic charge liquids

Kaul, Ribhu K.; Kim, Yong Baek; Sachdev, Subir; Senthil, T.

doi:10.1038/nphys790

Cited by 122 publications

(213 citation statements)

References 30 publications

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“…28,29 Here, we shall provide a detailed study of the model of the underdoped cuprates proposed in Refs. 7,8,24,25, and show that it is consistent with the features A, B, and C of the theory of competing orders noted above, which are essential in the interpretation of the experiments.…”

Section: Introductionsupporting

confidence: 84%

“…We shall provide such a theory here, building upon the proposals of Refs. 7,8,24,25. Our theory will not have the problematic H = 0, T = 0 "normal" state of the phenomenological theory, and so cannot be mapped precisely onto it.…”

Section: Introductionmentioning

confidence: 99%

“…This effective theory omits numerous other couplings involving higher powers or gradients of the fields, which have been discussed in some detail in previous work. 7,8,24,25 It also omits the 1/r Coulomb repulsion between the g ± fermions-this will be screened by the Fermi surface excitations, and is expected to reduce the critical temperature as in the traditional strong-coupling theory of superconductivity. For simplicity, we will neglect such effects here, as they are not expected to modify our main conclusions on the theory of competing orders.…”

Section: Introductionmentioning

confidence: 99%

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Competition between spin density wave order and superconductivity in the underdoped cuprates

2009

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The Harvard community has made this article openly available. Please share how this access benefits you. Your story matters AbstractWe describe the interplay between d-wave superconductivity and spin density wave (SDW) order in a theory of the hole-doped cuprates at hole densities below optimal doping. The theory assumes local SDW order, and associated electron and hole pocket Fermi surfaces of charge carriers in the normal state. We describe quantum and thermal fluctuations in the orientation of the local SDW order, which lead to d-wave superconductivity: we compute the superconducting critical temperature and magnetic field in a 'minimal' universal theory. We also describe the back-action of the superconductivity on the SDW order, showing that SDW order is more stable in the metal. propose a finite temperature crossover phase diagram for the cuprates. In the metallic state, these are controlled by a 'hidden' quantum critical point near optimal doping involving the onset of SDW order in a metal. However, the onset of superconductivity results in a decrease in stability of the SDW order, and consequently the actual SDW quantum critical point appears at a significantly lower doping. All our analysis is placed in the context of recent experimental results.

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Section: Introductionsupporting

confidence: 84%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Competition between spin density wave order and superconductivity in the underdoped cuprates

2009

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“…The bosonic spin excitations have an energy gap 2 1 − 2 2 , as is easily seen by diagonalizing the quadratic form of L σ . The combined theory L d + L σ has a number of possible phases, distinct from the doublon metal [34,[44][45][46][47]. Condensation of b ±σ breaks the U(1) gauge symmetry and leads to antiferromagnetic order.…”

Section: Doublon Metalmentioning

confidence: 99%

Fermi surfaces and gauge-gravity duality

2011

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“…This particular location makes it impossible to originate from the d-density-wave "hidden order" that gives a holelike Fermi pocket centered around (π/2,π/2) point [24,25]. Among other possible origins of Fermi pocket formation [26,27,28], the phenomenological resonant valence bond picture [27] shows a fairly good agreement with our observations, in terms of the location, shape and area of the hole-like Fermi pocket and its doping dependence. In particular, the predicted Fermi pockets are pinned at (π/2,π/2) point [27] that is consistent with our experiment (Fig.…”

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confidence: 99%

Coexistence of Fermi arcs and Fermi pockets in a high-Tc copper oxide superconductor

Meng

Liu

Zhang

et al. 2009

Nature

217

198

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1In the pseudogap state of the high−T c copper-oxide (cuprate) superconductors [1], angle-resolved photoemission (ARPES) measurements have seen an Fermi arc, i.e., an open-ended gapless section in the large Fermi surface [2,3,4,5,6,7,8], rather than a closed loop expected of an ordinary metal. This is all the more puzzling because Fermi pockets (small closed Fermi surface features) have been suggested from recent quantum oscillation measurements [9,10,11,12,13,14]. The Fermi arcs have worried the high−T c community for many years because they cannot be understood in terms of existing theories. Theorists came up with a way out in the form of conventional Fermi surface pockets associated with competing order, with a back side that is for detailed reasons invisible by photoemission [15]. Here we report ARPES measurements of La-Bi2201 that give direct evidence of the Fermi pocket.The charge carriers in the pocket are holes and the pockets show an unusual dependence upon doping, namely, they exist in underdoped but not overdoped samples. A big surprise is that these Fermi pockets appear to coexist with the Fermi arcs. This coexistence has not been expected theoretically and the understanding of the mysterious pseudogap state in the high-T c cuprate superconductors will rely critically on understanding such a new finding.The high resolution Fermi surface mapping (Fig. 1a) on the underdoped La-Bi2201 UD18K sample using VUV laser reveals three Fermi surface sheets with low spectral weight (labeled as LP, LS and LPS in Fig. 1a) in the covered momentum space, in addition to the prominent main Fermi surface (LM). One particular Fermi surface sheet LP crosses the main band LM, forming an enclosed loop, an Fermi pocket, near the nodal region. Quantitative Fermi surface data measured from both VUV laser (Fig. 2a) and Helium discharge lamp ( (Fig. 2a) and HP band observed in Helium lamp measurement (Fig. 2b) are intrinsic; they can not be attributed to any of the umklapp bands or shadow bands (Fig. 2c). The location of the three bands can be well connected by the same superlattice vector, indicating that the HP and LPS bands correspond to the first order umklapp bands of the main Fermi pocket LP. The shape 2 and area of the Fermi pockets are also consistent in these two independent measurements, making a convincing case on the presence of the Fermi pocket. We note that in both the laser (Fig. 2a) and Helium lamp (Fig. 2b and SFig. 2 in the Supplementary) measurements, all the observed bands except for the "Fermi pocket bands" can be assigned by only one regular superstructure wavevector (0.24,0.24). The presence of additional superstructure, which would give rise to new bands, appears to be unlikely because there is no indication of such additional bands observed in our measurements.The Fermi pocket is observed both in the normal state and superconducting state, as shown in Fig. 3 for the La-Bi2201 UD18K sample. Moreover, its location, shape and area show little change with temperature (Figs. 3a and 3f). Below T c , the openi...

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Algebraic charge liquids

Cited by 122 publications

References 30 publications

Competition between spin density wave order and superconductivity in the underdoped cuprates

Competition between spin density wave order and superconductivity in the underdoped cuprates

Fermi surfaces and gauge-gravity duality

Coexistence of Fermi arcs and Fermi pockets in a high-Tc copper oxide superconductor

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