Antiferromagnetic and spiral phases in at-t’-Jmodel

Psaltakis, G.C.; Papanicolaou, N.

doi:10.1103/physrevb.48.456

Cited by 23 publications

(40 citation statements)

References 32 publications

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“…We have demonstrated that flux quantization and a concomitant finite value of superfluid weight D s occur in the metallic phase-modulated AF ground state of the t-t ′ -J model (1). By appealing to the universality class of the two-dimensional XY model, the corresponding superconducting transition temperature T c is related to D s linearly, via (10). The inclusion of leading quantumfluctuation effects in D s provides then a reasonable estimate for the order of magnitude and the doping dependence of T c in the cuprates.…”

Section: Discussionmentioning

confidence: 99%

“…In all the aforementioned works, the lack of an effective model for doped antiferromagnets expressed in terms of hard-core bosons has prevented the systematic study of their flux quantization properties in conjunction with the optical and magnetic ones. Such a model, however, has been postulated from the outset by Psaltakis and Papanicolaou [10] and consists of a t-t ′ -J Hamiltonian and a suitable 1/N expansion that provide a reasonably simple many-body calculational framework for the study of the relevant issues. When leading quantum-fluctuation effects are taken into account in the context of this model, the generic experimental features of the optical conductivity, the Drude weight and the total optical weight in the cuprates are qualitatively reproduced.…”

Section: Introductionmentioning

confidence: 99%

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High-temperature superconductivity in doped antiferromagnets

Psaltakis¹

1999

Physica C: Superconductivity

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In the context of an effective model for doped antiferromagnets, whereby the charge carriers are treated as hard-core bosons, we demonstrate that the ground state energy close to half-filling is an even periodic function of the external magnetic flux threading the square lattice in an Aharonov-Bohm geometry. The period is equal to the flux quantum $\Phi_{0}=2\pi\hbar c/q$ entering the Peierls phase factor of the hopping matrix elements. Thus flux quantization and a concomitant finite value of superfluid weight D_{s} occur along with metallic antiferromagnetism. We argue that the charge q in the associated flux quantum might be set equal to 2e. The superconducting transition temperature T_{c} is related to D_{s} linearly, in accordance to the generic Kosterlitz-Thouless type of transition in a two-dimensional system, signalling the coherence of the phase fluctuations of the condensate. The calculated dependence of T_{c} on hole concentration is qualitatively similar to that observed in the high-temperature superconducting cuprates.Comment: 5 pages, REVTEX file (2 Postscript figures). Proc. of 1st Euroconference on "Anomalous Complex Superconductors". To appear in Physica C (1999

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

High-temperature superconductivity in doped antiferromagnets

Psaltakis¹

1999

Physica C: Superconductivity

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“…In all the afore-mentioned works, the lack of an effective model for doped antiferromagnets expressed in terms of hard-core bosons has prevented the systematic study of their flux quantization properties in conjunction with the optical and magnetic ones. Such a model, however, has been postulated from the outset by Psaltakis and Papanicolaou [8] and consists of a t-t ′ -J Hamiltonian and a suitable 1/N expansion that provide a reasonably simple many-body calculational framework for the study of the relevant issues. When leading quantum-fluctuation effects are taken into account in the context of this model, the generic experimental features of the optical conductivity, the Drude weight, and the total optical weight in the cuprates are qualitatively reproduced.…”

Section: Introductionmentioning

confidence: 99%

Flux quantization and superfluid weight in doped antiferromagnets

Psaltakis¹

1998

J. Phys.: Condens. Matter

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Doped antiferromagnets, described by a t-t ′ -J model and a suitable 1/N expansion, exhibit a metallic phase-modulated antiferromagnetic ground state close to half-filling. Here we demonstrate that the energy of latter state is an even periodic function of the external magnetic flux threading the square lattice in an Aharonov-Bohm geometry. The period is equal to the flux quantum Φ0 = 2πhc/q entering the Peierls phase factor of the hopping matrix elements. Thus flux quantization and a concomitant finite value of superfluid weight Ds occur along with metallic antiferromagnetism. We argue that in the context of the present effective model, whereby carriers are treated as hardcore bosons, the charge q in the associated flux quantum might be set equal to 2e. Finally, the superconducting transition temperature Tc is related to Ds linearly, in accordance to the generic Kosterlitz-Thouless type of transition in a two-dimensional system, signaling the coherence of the phase fluctuations of the condensate. The calculated dependence of Tc on hole concentration is qualitatively similar to that observed in the high-temperature superconducting cuprates.

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“…Using a variety of numerical and analytic techniques, a wide range of interesting phenomena has been investigated in doped antiferromagnets. In particular, it was suggested that spiral phases with an inhomogeneous staggered magnetization may replace the Néel phase of the undoped antiferromagnet even at arbitrarily small doping [7,11,19,22,24,25,26,27,28,29,32,33,36,37,38,39,40,42,43]. In a spiral phase the staggered magnetization develops a helix structure, and the Néel ordered antiferromagnet thus turns into a helimagnet.…”

Section: Introductionmentioning

confidence: 99%

“…The effect of antiferromagnetic spin fluctuations on the dynamics of doped holes has been investigated in great detail in the condensed matter literature [2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43]. Using a variety of numerical and analytic techniques, a wide range of interesting phenomena has been investigated in doped antiferromagnets.…”

Section: Introductionmentioning

confidence: 99%

Homogeneous versus spiral phases of hole-doped antiferromagnets: A systematic effective field theory investigation

et al. 2007

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Using the low-energy effective field theory for magnons and holes -the condensed matter analog of baryon chiral perturbation theory for pions and nucleons in QCD -we study different phases of doped antiferromagnets. We systematically investigate configurations of the staggered magnetization that provide a constant background field for doped holes. The most general configuration of this type is either constant itself or it represents a spiral in the staggered magnetization. Depending on the values of the low-energy parameters, a homogeneous phase, a spiral phase, or an inhomogeneous phase is energetically favored. The reduction of the staggered magnetization upon doping is also investigated.

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Antiferromagnetic and spiral phases in at-t’-Jmodel

Cited by 23 publications

References 32 publications

High-temperature superconductivity in doped antiferromagnets

High-temperature superconductivity in doped antiferromagnets

Flux quantization and superfluid weight in doped antiferromagnets

Homogeneous versus spiral phases of hole-doped antiferromagnets: A systematic effective field theory investigation

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