Coexistence of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi mathvariant="normal">Θ</mml:mi><mml:mrow><mml:mi>I</mml:mi><mml:mi>I</mml:mi></mml:mrow></mml:msub></mml:math>-loop-current order with checkerboard<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>d</mml:mi></mml:math>-wave CDW/PDW order in a hot-spot model for cuprate superconductors

Carvalho, Vanuildo S. de; Pépin, C.; Freire, Hermann

doi:10.1103/physrevb.93.115144

Cited by 16 publications

(12 citation statements)

References 47 publications

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“…More generally, discrete symmetry breaking usually happens at higher temperature than continuous symmetry breaking. A strong influence of the LCs state on both unidirectional and bidirec-tional d -wave charge-density-wave/pair-density-wave (CDW/PDW) composite orders has been emphasized [29,90]. In these approaches, whatever the theoretical framework, the IUC LC order has to be intertwined with other states of matter [91].…”

Section: Loop Currents and Pseudogapmentioning

confidence: 99%

Loop currents in quantum matter

Bourgès¹,

Bounoua²,

Sidis³

2022

Comptes Rendus. Physique

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In many quantum materials, strong electron correlations lead to the emergence of new states of matter. In particular, the study in the last decades of the complex phase diagram of high temperature superconducting cuprates highlighted intra-unit-cell electronic instabilities breaking discrete Ising-like symmetries, while preserving the lattice translation invariance. Polarized neutron diffraction experiments have provided compelling evidences supporting a new form of intra-unit-cell magnetism, emerging concomitantly with the so-called pseudogap state of these materials. This observation is currently interpreted as the magnetic hallmark of an intra-unit-cell loop current order, breaking both parity and time-reversal symmetries. More generally, this magneto-electric state is likely to exist in a wider class of quantum materials beyond superconducting cuprates. For instance, it has been already observed in hole-doped Mott insulating iridates or in the spin liquid state of hole-doped 2-leg ladder cuprates.

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Section: Loop Currents and Pseudogapmentioning

confidence: 99%

Loop currents in quantum matter

Bourgès¹,

Bounoua²,

Sidis³

2022

Comptes Rendus. Physique

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“…In this paper, we only justify that the loop current state can be visible for temperatures T > T c and do not explicitly show that the upper temperature limit is T * . There are also other phenomenological proposals 150,151 and proposals based microscopic three orbital models 152,153 for the existence of loop current order in the PG phase. We also note that the magnetic moments derived from microscopic mean field models are usually far smaller compared to what it is found in experiments.…”

Section: Loop Current Statementioning

confidence: 99%

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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“…The present study shows that an antiferromagnetic quantum critical point 36 is not necessary to obtain pseudogap or d-wave superconductivity. The interplay with other broken-symmetry phases, such as charge density waves [37][38][39] , or loop currents [40][41][42][43][44][45] are important issues to be considered in subsequent investigations.…”

Section: Phase Diagrammentioning

confidence: 99%

Pseudogap and superconductivity in two-dimensional doped charge-transfer insulators

et al. 2016

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High-temperature superconductivity emerges upon doping a state of matter that is insulating because of interactions. A widely studied model considers one orbital per CuO2 unit cell on a square lattice with a strong intra-orbital repulsion that leads to a so-called Mott-Hubbard insulator.Here we solve a model that takes into account, within each unit cell, two oxygen orbitals where there is no electron-electron repulsion and a copper orbital with strong electron-electron repulsion. The insulating phase is a so-called charge-transfer insulator, not a Mott-Hubbard insulator. Using cluster dynamical mean-field theory with continuous-time quantum Monte Carlo as an impurity solver and 12 atoms per cluster, we report the normal and superconducting phase diagram of this model as a function of doping, interaction strength and temperature. As expected, the three-orbital model is consistent with the experimental observation that doped holes are located predominantly on oxygens, a result that goes beyond the one-orbital model. Nevertheless, the phase boundary between pseudogap and correlated metal, the Widom line, and the origin of the pairing energy (kinetic vs potential) are similar to the one-orbital model, demonstrating that these are emergent phenomena characteristic of doped Mott insulators, independently of many microscopic details. Broader implications are discussed.The appearance of high-temperature superconductivity upon doping an interaction-driven insulator is one of the most surprising phenomena in nature. A major goal of research in that field is to chart the phase diagram in the hope of providing key insights into an unconventional pairing mechanism and into the nature of the strongly correlated states of matter observed. With experiments driving this quest, and revealing a complex phase diagram 1 , theory is challenged to provide a framework to explain such complexity. The challenge comes from the fact that the insulating phase that is doped arises from interactions so strong 2 that tools to describe such a nonperturbative regime are needed. Significant progress has been made in this area by novel theoretical approaches such as cluster extensions 3-5 of dynamical mean-field theory (DMFT) 6 .The physics that must be understood is that of a square lattice made of CuO 2 unit cells where electrons on copper interact strongly. Intense effort devoted to study the case of a single orbital per unit-cell with an on-site repulsion, i.e. the two-dimensional Hubbard model, has shown that this simple model captures the basic phenomenology of cuprates 7,8 . A more realistic model for the cuprates includes three orbitals per CuO 2 unit cell 9,10 . The necessity of this model is demonstrated by numerous experiments that show that doped holes are found on oxygen 11 . The ability to delocalize on oxygen allows electrons to feel a much weaker effective interaction, but at one-hole per unit-cell and strong-enough repulsion on copper, one obtains a charge-transfer insulator 12 . It is this kind of interactiondriven insulator of t...

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Coexistence ofΘII-loop-current order with checkerboardd-wave CDW/PDW order in a hot-spot model for cuprate superconductors

Cited by 16 publications

References 47 publications

Loop currents in quantum matter

Loop currents in quantum matter

Fractionalized pair density wave in the pseudogap phase of cuprate superconductors

Pseudogap and superconductivity in two-dimensional doped charge-transfer insulators

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