Collective mode in the SU(2) theory of cuprates

Morice, Corentin; Chakraborty, Debmalya; Pépin, C.

doi:10.1103/physrevb.98.224514

Cited by 13 publications

(8 citation statements)

References 83 publications

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“…170 The PDW ladder operators η and η † of the SU(2) fluctuations can form a collective mode, which is a signature of the O(3) fluctuations below T * . 176 The new concept introduced in this paper give some similar phenomenology as that of the emergent SU(2) symmetry picture.…”

Section: Su(2) Fluctuationsmentioning

confidence: 87%

Fractionalized pair density wave in the pseudogap phase of cuprate superconductors

et al. 2019

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The mysterious pseudo-gap (PG) phase of cuprate superconductors has been the subject of intense investigation over the last thirty years, but without a clear agreement about its origin. Owing to a recent observation in Raman spectroscopy, of a precursor in the charge channel, on top of the well known fact of a precursor in the superconducting channel, we present here a novel idea: the PG is formed through a Higgs mechanism, where two kinds of preformed pairs, in the particle-particle and particle-hole channels, become entangled through a freezing of their global phase. Remarkably, this entanglement is equivalent to fractionalizing a bond Cooper pair density wave (PDW) into its elementary parts; the particle-hole pair, giving rise to both density modulations and current modulations, and the particle-particle counterpart, leading to the formation of Cooper pairs. From this perspective, the "fractionalized PDW" becomes the central object around the formation of the pseudo-gap. The "locking" of phases between the charge and superconducting modes gives a unique explanation for the unusual global phase coherence of short-range charge modulations, observed below Tc on phase sensitive scanning tunneling microscopy (STM). A simple microscopic model enables us to estimate the mean-field values of the precursor gaps in each channel and the PG energy scale, and to compare them to the values observed in Raman scattering spectroscopy. We also discuss the possibility of a multiplicity of orders in the PG phase and give an overview of the phase diagram. arXiv:1906.01633v2 [cond-mat.supr-con]

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Section: Su(2) Fluctuationsmentioning

confidence: 87%

Fractionalized pair density wave in the pseudogap phase of cuprate superconductors

et al. 2019

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“…So, one-electron experimental probes, such as angle-resolved photoemission spectroscopy (ARPES) or scanning tunneling spectroscopy (STS), will not detect the induced PDW. However, twoelectron response functions, will have signatures of these PDW correlations, [129][130][131][132][133] and even be able to distinguish oddfrequency components. For example, the imaginary part of the density response function χ (q, Ω) can characterize various bosonic excitations or correlations at different momentum (q) and energies or frequencies (Ω) depending on the experimental probe.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

“…134 In fact, the momentum-dispersion of the finite Ω peak has been predicted to be signatures of the role of phonons 134 or collective modes. 133 Due to the difference in the frequency dependence of the OPDW and the EPDW, we expect the frequency-dispersion to play a key role in detecting the OPDW. At the same time, RIXS lacks good energy resolution, where instead M-EELS derives a clear advantage in having a very high energy resolution of 1 meV compared to a resolution of 40 meV in RIXS.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Odd-frequency pair density wave correlations in underdoped cuprates

Chakraborty,

Black-Schaffer

2020

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Pair density waves, identified by Cooper pairs with finite center-of-mass momentum, have recently been observed in copper oxide based high Tc superconductors (cuprates). A charge density modulation or wave is also ubiquitously found in underdoped cuprates. Within a general mean-field one-band model we show that the coexistence of charge density waves and superconductivity in d-wave superconductors like cuprates, generates an odd-frequency spin-singlet pair density wave, in addition to the even-frequency counterparts. The strength of the induced odd-frequency pair density wave depends on the modulation wave vector of the charge density wave, with the odd-frequency pair density waves even becoming comparable to the even-frequency ones in parts of the Brillouin zone. The odd-frequency component of the pair density waves also gets enhanced when the charge density wave is uni-axial. Such a coexistence of superconductivity and uni-axial charge density wave has already been experimentally verified at high magnetic fields in underdoped cuprates. We further discuss the possibility of an odd-frequency spin-triplet pair density wave generated in the coexistence regime of superconductivity and spin density waves, applicable to the iron-based superconductors. Our work thus presents a route to bulk odd-frequency superconductivity in high Tc superconductors.

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“…We can thus describe the SC and CDW fluctuations by a O(3) non-linear sigma model. We thus expect that the phenomenological consequences of these two approaches to be the same, with for example the description of the B-T phase diagram 40 or the presence of collective modes 41 .…”

Section: Discussionmentioning

confidence: 99%

Fractionalizing a local pair density wave: a good "recipe" for opening a pseudo-gap

Grandadam,

Chakraborty,

Pépin

2019

Preprint

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We give a concise version of a recently proposed concept of fractionalization of an order parameter, thus generating a constraint through a fictitious gauge field 1 . We argue that this new line of approach is key to explain the longstanding mystery of the pseudo-gap phase in cuprate superconductors. For example, the fractionalization of a finite momentum, charge two state living on latice bonds-also called Pair Density Wave, into a particleparticle and a particle-hole pair leads to the opening of a gap in the fermionic spectrum. It induces "phaselocking" between the particle-particle and particle-hole pairs. We describe the formation of the Fermi arcs in the spectrum and give an account of recent Raman spectroscopy results from a minimal microscopic model. We relate the "phase-locking" to intriguing STM experimental observations.

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Collective mode in the SU(2) theory of cuprates

Cited by 13 publications

References 83 publications

Fractionalized pair density wave in the pseudogap phase of cuprate superconductors

Fractionalized pair density wave in the pseudogap phase of cuprate superconductors

Odd-frequency pair density wave correlations in underdoped cuprates

Fractionalizing a local pair density wave: a good "recipe" for opening a pseudo-gap

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