Overlapping Hot Spots and Charge Modulation in Cuprates

Volkov, Pavel A.; Efetov, K. B.

doi:10.1007/s10948-016-3372-y

Cited by 10 publications

(12 citation statements)

References 56 publications

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“…(4.10) and (4.11) that, in this limit, the correlation function C T (t) is periodic in real time with the frequency 2γ. This frequency equals to the excitation gap in SFMOHS studied previously [28][29][30].…”

Section: Direct Analytic Continuation In Time Domainmentioning

confidence: 88%

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Slowly decaying real-time oscillations in instanton crystal

Starkov¹,

Efetov²

2021

Preprint

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Instanton crystal is a fascinating phase which is encountered when the minimum of the free energy corresponds to a configuration with an imaginary-time-dependent order parameter in the form of a chain of alternating instantons and anti-instantons. We present the results of the investigation of the real-time correlation functions of the order parameter in the instanton crystal phase. In order to obtain the correlation functions in real-time, we formulate an original method of analytic continuation from imaginary times, which is easily adapted into an efficient numerical scheme for the computations. The resulting correlation functions exhibit non-trivial slowly decaying oscillations in real-time, which is reminiscent of prethermal time crystals.

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Section: Direct Analytic Continuation In Time Domainmentioning

confidence: 88%

“…The model exhibiting the Instanton Crystal State was proposed in [8] on the basis of the Spin-Fermion model with Overlapping Hot Spots (SFMOHS) studied previously in [5,[28][29][30]. In the Lagrangian formulation, the grand canonical partition function is given by the functional integral…”

Section: A Modelmentioning

confidence: 99%

Slowly decaying real-time oscillations in instanton crystal

Starkov¹,

Efetov²

2021

Preprint

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“…(2.2) and (2.4)). As we explain in Section VII, the model introduced in the present paper originates from the Spin-Fermion model with Overlapping Hotspots (SF-MOHS) studied in references [18][19][20]. As a consequence, we have chosen the fermionic dispersion in the same form as it appears in SFMOHS:…”

Section: Numerical Analysis Of the Modelmentioning

confidence: 99%

Phase transition into Instanton Crystal

Starkov,

Efetov

2020

Preprint

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We propose a class of models exhibiting instanton crystal phase. In this phase, the minimum of the free energy corresponds to a configuration with an imaginary-time-dependent order parameter in a form of a chain of alternating instantons and antiinstantons. The resulting characteristic feature of this state is that the average of the order parameter over the imaginary time vanishes. In order to study the model in a broad region of parameters of the model quantitatively, and prove the existence of the instanton crystal phase, we develop an efficient numerical scheme, suitable for the exact treatment of the proposed models. In a certain limit, results demonstrating the existence of the instanton crystal phase are obtained also analytically. The numerical study of the model shows that there is a phase transition between the instanton crystal and the state with the imaginarytime-independent order parameter.

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“…However, at temperatures relevant for the pseudogap state this argument does not have to hold -the experimentally reported correlation lengths 130,131 are indeed rather small. Moreover, ARPES experiments 3 show that the effects of the pseudogap extend well beyond the 'hot spots' to the Brillouin zone edges (π, 0), (0, π) without being significantly weakened.~1 A different approach has been introduced in 85,86 . As ξ AF becomes smaller, the 'hot spots' expand and and can eventually overlap and merge forming two 'hot regions' (see the right part of Fig.1).…”

Section: Modelmentioning

confidence: 99%

Charge and current orders in the spin-fermion model with overlapping hot spots

Volkov

Efetov

2018

Phys. Rev. B

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Experiments carried over the last years on the underdoped cuprates have revealed a variety of symmetry-breaking phenomena in the pseudogap state. Charge-density waves, breaking of C4 rotational symmetry as well as time-reversal symmetry breaking have all been observed in several cuprate families. In this regard, theoretical models where multiple non-superconducting orders emerge are of particular interest. We consider the recently introduced (Phys. Rev. B 93, 085131 (2016)) spin-fermion model with overlapping 'hot spots' on the Fermi surface. Focusing on the particle-hole instabilities we obtain a rich phase diagram with the chemical potential relative to the dispersion at (0, π); (π, 0) and the Fermi surface curvature in the antinodal regions being the control parameters. We find evidence for d-wave Pomeranchuk instability, d-form factor charge density waves as well as commensurate and incommensurate staggered bond current phases similar to the d-density wave state. The current orders are found to be promoted by the curvature. Considering the appropriate parameter range for the hole-doped cuprates, we discuss the relation of our results to the pseudogap state and incommensurate magnetic phases of the cuprates.

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Overlapping Hot Spots and Charge Modulation in Cuprates

Abstract: plain important features of the charge modulations observed recently.

Cited by 10 publications

References 56 publications

Slowly decaying real-time oscillations in instanton crystal

Slowly decaying real-time oscillations in instanton crystal

Phase transition into Instanton Crystal

Charge and current orders in the spin-fermion model with overlapping hot spots

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