Spin-Peierls transition in an anisotropic two-dimensional<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>XY</mml:mi></mml:math>model

Yuan, Qingshan; Zhang, Yumei; Chen, Hong

doi:10.1103/physrevb.64.012414

Cited by 12 publications

(7 citation statements)

References 28 publications

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“…The 2D (or quasi-1D) spin-Peierls instability without n.n.n. exchange J was studied by some authors [15][16][17]. It was found that the SP transition does not spontaneously occur unless the so called spin-lattice coupling (analogous to η here) exceeds a threshold.…”

Section: Discussionmentioning

confidence: 99%

Imperfect nesting and Peierls instability for a two-dimensional tight-binding model

2001

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Section: Discussionmentioning

confidence: 99%

Imperfect nesting and Peierls instability for a two-dimensional tight-binding model

2001

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“…Within the framework of the kinetic-energy-driven SC mechanism, the dynamical spin response of cuprate superconductors from low-energy to high-energy has been studied, 88,[202][203][204] where one of the main results is that both the damped but well-defined dispersive low-energy and high-energy spin excitations exist across the whole doping phase diagram. In the SC-state, 202 strongly renormalized due to the interaction between charge carriers and spins to form an hour-glass-shaped dispersion.…”

Section: Dynamical Spin Responsementioning

confidence: 99%

“…For the discussions of the dynamical spin response in cuprate superconductors, it is needed to calculate the full spin Green's function, which can be expressed as 88,[202][203][204] …”

Section: Dynamical Spin Structure Factor In Superconducting Statementioning

confidence: 99%

“…In this case, the dynamical spin structure factor S(k, ω) in Eq. (105) in the SC-state is reduced to that in the normal-state, where the spin self-energy is obtained in terms of the collective charge-carrier mode in the particle-hole channel only, and the calculated results are summarized as 88,[202][203][204] : (i) The commensurate resonance that originates from the creation of charge-carrier pairs and appears in the SCstate 7,175,177,180,185,186 is absent from the normal-state, while only the low-energy IC spin fluctuation in the SC-state persists into the normal-state. Moreover, the low-energy IC magnetic scattering peaks lie on a circle of radiusδ IC .…”

Section: Dynamical Spin Response In Normal-statementioning

confidence: 99%

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Kinetic-energy-driven superconductivity in cuprate superconductors

Feng

Lan

Zhao

et al. 2015

Int. J. Mod. Phys. B

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Superconductivity in cuprate superconductors occurs upon charge-carrier doping Mott insulators, where a central question is what mechanism causes the loss of electrical resistance below the superconducting (SC) transition temperature? In this paper, we attempt to summarize the basic idea of the kinetic-energy-driven SC mechanism in the description of superconductivity in cuprate superconductors. The mechanism of the kinetic-energy-driven superconductivity is purely electronic without phonons, where the charge-carrier pairing interaction in the particle-particle channel arises directly from the kinetic energy by the exchange of spin excitations in the higher powers of the doping concentration. This kinetic-energy-driven d-wave SC-state is controlled by both the SC gap and quasiparticle coherence, which leads to that the maximal SC transition temperature occurs around the optimal doping, and then decreases in both the underdoped and overdoped regimes. In particular, the same charge-carrier interaction mediated by spin excitations that induces the SC-state in the particle-particle channel also generates the normal-state pseudogap state in the particle-hole channel. The normal-state pseudogap crossover temperature is much larger than the SC transition temperature in the underdoped and optimally doped regimes, and then monotonically decreases upon the increase of doping, eventually disappearing together with superconductivity at the end of the SC dome. This kinetic-energy-driven SC mechanism also indicates that the strong * Corresponding author. 1530009-1 Int. J. Mod. Phys. B 2015.29. Downloaded from www.worldscientific.com by UNIVERSITY OF CALIFORNIA @ SAN DIEGO on 08/24/15. For personal use only. S. Feng et al.electron correlation favors superconductivity, since the main ingredient is identified into a charge-carrier pairing mechanism not from the external degree of freedom such as the phonon but rather solely from the internal spin degree of freedom of the electron. The typical properties of cuprate superconductors discussed within the framework of the kinetic-energy-driven SC mechanism are also reviewed. 1530009-2 Int. J. Mod. Phys. B 2015.29. Downloaded from www.worldscientific.com by UNIVERSITY OF CALIFORNIA @ SAN DIEGO on 08/24/15. For personal use only. Kinetic-energy-driven superconductivity in cuprate superconductors Hole doping Temperature T N AF SC T c T* ~ ∆ PG~λ * PG NM 1530009-3 Int. J. Mod. Phys. B 2015.29. Downloaded from www.worldscientific.com by UNIVERSITY OF CALIFORNIA @ SAN DIEGO on 08/24/15. For personal use only. 1530009-4 Int. J. Mod. Phys. B 2015.29. Downloaded from www.worldscientific.com by UNIVERSITY OF CALIFORNIA @ SAN DIEGO on 08/24/15. For personal use only.Kinetic-energy-driven superconductivity in cuprate superconductors singlets would become charged, resulting in a SC-state. The RVB state is fundamentally different from the conventional Néel state in which the doped charge carrier can move freely among the RVB spin liquid and then a better compromise between the charge-carrier kineti...

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“…20,23,24 In this case, the dynamical spin response in cuprate superconductors in the SC state has been discussed 21 based on the kinetic energy driven SC mechanism. Following their discussions, the full spin Green's function has been obtained within the framework of the equation of motion method in terms of the collective charge carrier modes in the particle-hole and particle-particle channels as…”

Section: Introductionmentioning

confidence: 99%

High-energy magnetic excitations in cuprate superconductors

Kuang

Lan

Zhao

et al. 2015

Int. J. Mod. Phys. B

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In this paper, the high-energy magnetic excitations in cuprate superconductors are studied based on the kinetic energy driven superconducting mechanism. The spin self-energy is evaluated explicitly in terms of the collective charge carrier modes in the particle-hole and particle-particle channels, and employed to calculate the dynamical spin structure factor. Our results show the existence of damped but well-defined dispersive spin excitations in the whole doping phase diagram. In particular, the charge carrier doping has a more modest effect on the high-energy spin excitations, and then the high-energy magnetic excitations retain roughly constant energy as a function of doping, with spectral weights and dispersion relations comparable to those found in the parent compound.

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Spin-Peierls transition in an anisotropic two-dimensionalXYmodel

Cited by 12 publications

References 28 publications

Imperfect nesting and Peierls instability for a two-dimensional tight-binding model

Imperfect nesting and Peierls instability for a two-dimensional tight-binding model

Kinetic-energy-driven superconductivity in cuprate superconductors

High-energy magnetic excitations in cuprate superconductors

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