Bulletin of the American Physical Society
APS March Meeting 2015
Volume 60, Number 1
Monday–Friday, March 2–6, 2015; San Antonio, Texas
Session A11: Cuprate Superconductivity: Charge Density Waves and Charge Order 
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Sponsoring Units: DCMP Chair: Wei Ku, Brookhaven National Laboratory Room: 007B 
Monday, March 2, 2015 8:00AM  8:12AM 
A11.00001: Origin of charge density wave instability in the underdoped cuprates Vivek Mishra, M. R. Norman The exact nature of the normal state in the underdoped cuprates is still debatable. Recent experimental results favor the existence of an unconventional charge density wave with dwave form factor above the superconducting transition. Here we study the charge density wave instability within the Eliashberg framework. We find the full momentum structure of the leading charge density wave order and compare its strength to the superconductivity driven by spinfluctuation mediated pairing interaction. [Preview Abstract] 
Monday, March 2, 2015 8:12AM  8:24AM 
A11.00002: ABSTRACT WITHDRAWN 
Monday, March 2, 2015 8:24AM  8:36AM 
A11.00003: Interplay between pairdensitywave and chargedensitywave orders in underdoped cuprates Daniel Agterberg, Yuxuan Wang, Andrey Chubukov We analyze the interplay between chargedensitywave (CDW) and pairdensitywave (PDW) orders within the spinfermion model for the cuprates. We show that both orders do emerge in the spinfermion model as preemptive orders to antiferromagnetism, and are constructed out of pairs of ``hot'' fermions on the Fermi surface. We that the two orders are nearly degenerate and are related by an approximate SU(2) particlehole symmetry of the spinfermion model. The SU(2) symmetry is exact if one neglects the curvature of the Fermi surface in hot regions, in which case the CDW and PDW, each breaking translational U(1) symmetry, become components of an O(4)symmetric supervector. We show that the curvature of the Fermi surface breaks this degeneracy and that the meanfield transition temperature is higher for the PDW order. However, we also argue that both CDW and PDW order break additional discrete $Z_2$ symmetries and show that the feedback from $Z_2$ order on the CDW order is stronger. This feedback increases the critical temperature for CDW order compared to that for PDW order. Which state develops first depends on system parameters. We also consider the case when both orders are present at low $T$ and argue that simultaneous presence of CDW and PDW orders induce a variety of states. [Preview Abstract] 
Monday, March 2, 2015 8:36AM  8:48AM 
A11.00004: Composite Charge Order In Cuprate Superconductors Andrey Chubukov, Yuxuan Wang We analyze charge order in holedoped cuprates. We argue that magneticallymediated interaction, which is known to give rise to dwave superconductivity, also gives rise to chargedensitywave instabilities with momenta $Q_x =(Q,0)$ and $Q_y =(0,Q)$, as seen in the experiments. We show that the emerging charge order with $Q_x/Q_y$ is of stripe type and that a stripe charge order parameter by itself has two components: one is incommensurate density variation, another is incommensurate current. Both components are nonzero in the CDWordered state, with the relative phase $\pm\pi/2$. Such an order breaks time reversal symmetry. We further show that, before a true incommensurate CDW order sets in, the system develops a preemptive composite order which breaks lattice rotational symmetry and timereversal symmetry but preserves a translational $U(1)$ symmetry. We discuss the interplay between our CDW order and superconductivity and the spinfluctuation scenario for the pseudogap phase. [Preview Abstract] 
Monday, March 2, 2015 8:48AM  9:00AM 
A11.00005: GinzburgLandau Theory of multicomponent order parameter in the cuprate pseudogap regime Laimei Nie, Subir Sachdev, Steven Kivelson We study a LandauGinzburgWilson effective field theory of a quasi2D system with potential disorder in which incommensurate chargedensity wave and superconducting orders are intertwined. The model is shown to exhibit a rich phase diagram at a largeN meanfield level, where both superconducting and nematic, but not chargedensity wave order, can persist in the presence of the quenched disorder. We select three representative sets of input parameters and compute the corresponding CDW structure factors. Where nematicity and SC coexist, the peak height of the CDW structure factor decreases monotonically as a function of increasing T, unlike what is seen in Xray experiments in YBCO. In the parameter regime where no nematic phase occurs, we compute to oneloop order the nematic correlation length, which is shown to be much shorter than CDW correlation length. [Preview Abstract] 
Monday, March 2, 2015 9:00AM  9:12AM 
A11.00006: Quasiparticle transport coefficients from a mean field bond density wave state in highTc cuprates Girish Sharma, Kangjun Seo, Sumanta Tewari The pseudogap regime in low hole doped high Tc cuprate superconductors exhibits peculiar experimental signatures like the detection of enhanced negative signals for Hall, Seebeck and Nernst coefficients. This has been ascribed to a competing density wave order with superconductivity near 1/8 hold doping and low temperature regimes. Starting with a mean field quasiparticle model describing a biaxial bond density wave (BDW) state with Q1 = (0, 2?/3) and Q2 = (2?/3, 0), we show that the Fermi surface is reconstructed with the emergence of electron and holelike pockets in the Brillouin zone. Employing semiclassical Boltzmann dynamics, the emergence of an enhanced negative Hall, Seebeck and Nernst coefficients is shown which is consistent with experimental data. This type of response is not seen for a uniaxial BDW order of type Q1 or Q2. [Preview Abstract] 
Monday, March 2, 2015 9:12AM  9:24AM 
A11.00007: Monte Carlo studies of diamagnetism and charge density wave order in the cuprate pseudogap regime Lauren Hayward Sierens, Andrew Achkar, David Hawthorn, Roger Melko, Subir Sachdev The pseudogap regime of the holedoped cuprate superconductors is often characterized experimentally in terms of a substantial diamagnetic response and, from another point of view, in terms of strong charge density wave (CDW) order. We introduce a dimensionless ratio, $R$, that incorporates both diamagnetic susceptibility and the correlation length of CDW order, and therefore reconciles these two fundamental characteristics of the pseudogap [PRB 90, 094515 (2014)]. We perform Monte Carlo simulations on a classical model that considers angular fluctuations of a sixdimensional order parameter [Science 343, 1336 (2014)], and compare our Monte Carlo results for $R$ with existing data from torque magnetometry and xray scattering experiments on YBa$_2$Cu$_3$O$_{6+x}$. We achieve qualitative agreement, and also propose future experiments to further investigate the behaviour of this dimensionless ratio. [Preview Abstract] 
Monday, March 2, 2015 9:24AM  9:36AM 
A11.00008: The charge susceptibility in the cuprate pseudogap phase: Similiarities and differences between Fermi pockets and Fermi arcs scenarios Peter Scherpelz, Adam Rancon, Yan He, K. Levin Recent experimental results have provided a variety of evidence for incommensurate charge ordering in underdoped cuprates. To understand these experimental findings, here we address the calculation of charge response functions. We perform these calculations for both the Fermi arcs approach, and the Fermi pockets scenario of Yang, Rice, and Zhang. Critically, we include vertex corrections that have previously been omitted, and which are shown to exactly satisfy the sum rules. We show that these corrections lead to a doublepeak structure in the susceptibility, as well as significant suppression of the susceptibility for low $q$. These effects have a straightforward physical interpretation: They represent the inclusion of charged bosonic, spin singlet degrees of freedom. See also Scherpelz et al., PRB 90 060506(R) (2014). [Preview Abstract] 
Monday, March 2, 2015 9:36AM  9:48AM 
A11.00009: Fully consistent theory of response functions in the cuprate pseudogap phase: Implementing the Ward Takahashi identity ChienTe Wu, Rufus Boyack, Peter Scherpelz, Kathryn Levin There is a multiplicity of pairingbased theories of the cuprate pseudogap associated with Fermi surface reconstruction or charge ordering, which have a simple meanfieldlike self energy. These include the scenario of Yang, Rice and Zhang and the recent Amperean pairing scenario of Lee. We demonstrate here how to arrive at precise response functions for this class of theories which include vertex corrections, where necessary. Thus one can address two body physics experiments at the same level of accuracy that one addresses the one body physics of photoemission spectroscopy. We do so by exploiting the Ward Takahashi identity. As an illustration, we present the spin dynamical response functions of neutron scattering for three different scenarios, finding that a recently proposed pair Amperean pairing scheme is readily distinguishable from other related scenarios. [Preview Abstract] 
Monday, March 2, 2015 9:48AM  10:00AM 
A11.00010: Emergent loop current order from pair density wave superconductivity Manoj Kashyap, Drew Melchert, Daniel Agterberg In addition to charge density wave (CDW) order, there is evidence that the pseudogap phase in the cuprates breaks time reversal symmetry. Here we show that pair density wave (PDW) states give rise to a translational invariant nonsuperconducting order parameter that breaks time reversal and parity symmetries, but preserves their product. This secondary order parameter has a different origin, but shares the same symmetry properties as a magnetoelectric loop current order that has been proposed earlier in the context of the cuprates to explain the appearance of intracell magnetic order. We further show that, due to fluctuations, this secondary loop current order, which represents the breaking of discrete symmetries, can preempt PDW order, which breaks both continuous and discrete symmetries. In such a phase, the emergent loop current order coexists with spatial short range CDW and short range superconducting order. Finally, we propose a PDW phase that accounts for intracell magnetic order and the Kerr effect, has CDW order consistent with xray scattering and nuclear magnetic resonance observations, and quasiparticle properties consistent with angle resolved photoemission scattering. [Preview Abstract] 
Monday, March 2, 2015 10:00AM  10:12AM 
A11.00011: Vortices and charge order in high$T_{c}$ superconductors Matthias Einenkel, Hendrik Meier, Catherine P\'epin, Konstantin B. Efetov We theoretically investigate the vortex state of the cuprate hightemperature superconductors in the presence of magnetic fields. Assuming the recently derived nonlinear $\sigma$model for fluctuations in the pseudogap phase, we find that the vortex cores consist of two crossed regions of elliptic shape, in which a static charge order emerges. Charge density wave order manifests itself as satellites to the ordinary Bragg peaks directed along the axes of the reciprocal copper lattice. Quadrupole density wave (bond order) satellites, if seen, are predicted to be along the diagonals. The intensity of the satellites should grow linearly with the magnetic field, in agreement with the result of recent experiments. [Preview Abstract] 
Monday, March 2, 2015 10:12AM  10:24AM 
A11.00012: Orbital symmetry of charge density wave order in La$_{1.875}$Ba$_{0.125}$CuO$_4$ and YBa$_2$Cu$_3$O$_{6.67}$ David Hawthorn, Andrew Achkar, Feizhou He, Ronny Sutarto, Christopher McMahon, Martin Zwiebler, Markus H\"{u}cker, Genda Gu, Ruixing Liang, Doug Bonn, Walter Hardy, Jochen Geck Recent theories of charge density wave (CDW) order in high temperature superconductors have predicted a primarily $d$ CDW orbital symmetry. Here, we report on the orbital symmetry of CDW order in the canonical cuprate superconductors La$_{1.875}$Ba$_{0.125}$CuO$_4$ (LBCO) and YBa$_2$Cu$_3$O$_{6.67}$ (YBCO), using resonant soft xray scattering and a model mapped to the CDW orbital symmetry. From measurements sensitive to the O sublattice, we conclude that LBCO has predominantly $s'$ CDW orbital symmetry, in contrast to the $d$ orbital symmetry recently reported in other cuprates. Additionally, we find that the C$_4$ orbital symmetry of the Cu sublattice scattering is approximately preserved in LBCO and broken in YBCO. This work highlights orbital symmetry as an additional key property of CDW order that distinguishes the different cuprate families. We discuss how the CDW symmetry may be related to the ``1/8anomaly'' and to static spin ordering. [Preview Abstract] 
Monday, March 2, 2015 10:24AM  10:36AM 
A11.00013: Origin of Variety of LowEnergy ``Competing'' States Including dform Factor Density Waves in Cuprates WeiLin Tu, TingKuo Lee One of the most puzzling facts about the cuprate high temperature superconductors is the observation of a variety of lowenergy states in coexistence with the superocnductivity and/or antiferromagnetism in the underdoped regime. These states could have a unidirectional charge density wave like structure or a bidirectional checkerboard structure. Some of them like the stripe state could also have an intertwined charge density and spin density waves together. Can all these different states caused by different mechanisms and competing with the superconducting state? Can these states also be consistent with the recently observed dform factor density wave in cuprates? In this talk we will present reasons to show that these states are all orginated from the same strong correlation inherent in the cuprates. [Preview Abstract] 
Monday, March 2, 2015 10:36AM  10:48AM 
A11.00014: SpinFluctuationDriven Nematic ChargeDensityWave in Cuprate Superconductors: ChargeOrbitalSpin Multimode Fluctuations Caused by Vertex Corrections Youichi Yamakawa, Masahisa Tsuchiizu, Hiroshi Kontani We explain the recently discovered nematic chargedensitywave (CDW) state in cuprate superconductors on the basis of the threeorbital $d$$p$ Hubbard model, by including the vertex correction (VC) [1]. Due to the strong chargespin interference given by the VC, the CDW instability at $q=(\Delta_{\rm FS},0)$, $(0,\Delta_{\rm FS})$ is strongly promoted near the magnetic critical point. Here, $\Delta_{\rm FS}$ is the wavenumber connected by the neighboring hot spots. The obtained spinfluctuationdriven CDW is described as the ``intraunitcell orbital order'' accompanied by the charge transfer between the neighboring atomic orbitals. The obtained nematictype charge pattern is similar to the STM results. The CDW in cuprates has a close relation to the nematic orbital order in Febased superconductors. [1] Y. Yamakawa and H. Kontani, arXiv:1406.7520. [Preview Abstract] 
(Author Not Attending)

A11.00015: Charge Order Instability in Doped Resonating Valence Bond State and Magnetic Orbits from Reconstructed Fermi Surface in Underdoped Cuprates Long Zhang, JiaWei Mei Recent experiments reveal incommensurate charge density wave (CDW) and quantum oscillations (QO) in the pseudogap phase of underdoped cuprates. In this work, we take a phenomenological synthesis of the resonating valence bond (RVB) state and the CDW order. Starting from the YangRiceZhang (YRZ) ansatz for the Green's function of the RVB state, we show that the CDW instability at wavevectors connecting the tips of the Fermi arcs can induce Fermi surface reconstruction. We find three primary magnetic orbits in the QO spectrum, the CDWinduced electronlike $\alpha$ and holelike $\beta$ orbits and the $\gamma$ orbit enclosing the initial nodal YRZ hole pockets due to magnetic breakdown. Their combinations naturally explain the multicomponent QO pattern observed in experiments. The $\gamma$ orbit encloses an area satisfying the generalized Luttinger theorem. The cyclotron mass of the $\gamma$ orbit increases monotonically with doping in agreement with the optical Hall angle measurements , while that of the $\alpha$ orbit is enhanced as the CDW order vanishes on approaching two critical dopings. However, we find that the enhancement of $m_{H}^{\alpha}$ is overestimated in QO experiments due to the ignorance of the impact of the CDW order suppression with increasing temperature. [Preview Abstract] 
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