Magnetic model of the tetragonal-orthorhombic transition in the cuprates

Fang, Chen; Hu, Jiangping; Kivelson, Steven; Brown, S.R.

doi:10.1103/physrevb.74.094508

Cited by 7 publications

(8 citation statements)

References 22 publications

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“…[89,90], which treated ζ as a phenomenological input parameter. It was also shown by mean-field [91], RG [34], and Monte Carlo [92] calculations that in three dimensional systems with anisotropic magnetic dispersion the degree of anisotropy tunes the system between the regimes of split second-order transitions and simultaneous first-order transitions. Making the spin interaction anisotropic in spin space has the same effect, i.e.…”

Section: J1 − J2 and Phenomenological Modelsmentioning

confidence: 99%

Preemptive nematic order, pseudogap, and orbital order in the iron pnictides

et al. 2012

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Starting from a microscopic itinerant model, we derive and analyze the effective low-energy model for collective magnetic excitations in the iron pnictides. We show that the stripe magnetic order is generally preempted by an Ising-nematic order which breaks C4 lattice symmetry but preserves O(3) spin-rotational symmetry. This leads to a rich phase diagram as function of doping, pressure, and elastic moduli, displaying split magnetic and nematic tri-critical points. The nematic transition may instantly bring the system to the verge of a magnetic transition, or it may occur first, being followed by a magnetic transition at a lower temperature. In the latter case, the preemptive nematic transition is accompanied by either a jump or a rapid increase of the magnetic correlation length, triggering a pseudogap behavior associated with magnetic precursors. Furthermore, due to the distinct orbital character of each Fermi pocket, the nematic transition also induces orbital order. We compare our results to various experiments, showing that they correctly address the changes in the character of the magneto-structural transition across the phase diagrams of different compounds, as well as the relationship between the orthorhombic and magnetic order parameters.

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Section: J1 − J2 and Phenomenological Modelsmentioning

confidence: 99%

Preemptive nematic order, pseudogap, and orbital order in the iron pnictides

et al. 2012

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“…The self-consistency equations can be derived using the same method employed in Ref. 37. Define the nematic order = K ͗ ជ n,1 ͑r͒ · ជ n,2 ͑r͒͘ / ͑NT͒ and n,␣ ͑r͒ , ␣ =1,2 are the Lagrangian multiplies for ជ n,␣ ͑r͒.…”

Section: ͑51͒mentioning

confidence: 99%

Theory of electron nematic order in LaFeAsO

et al. 2008

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We study a spin S quantum Heisenberg model on the Fe lattice of the rare-earth oxypnictide superconductors. Using both large S and large N methods, we show that this model exhibits a sequence of two phase transitions: from a high temperature symmetric phase to a narrow region of intermediate "nematic" phase, and then to a low temperature spin ordered phase. Identifying phases by their broken symmetries, these phases correspond precisely to the sequence of structural (tetragonal to monoclinic) and magnetic transitions that have been recently revealed in neutron scattering studies of LaOFeAs. The structural transition can thus be identified with the existence of incipient ("fluctuating") magnetic order.

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“…A similar mechanism was proposed for the lattice distortion in the cuprates. 25 The interlayer coupling J Ќ will drive the 2D Ising transition to a 3D Ising transition, but since it is much weaker than the intralayer couplings, it will not move the transition temperature significantly. However, the interlayer coupling stabilizes an O͑3͒ ordered phase at finite temperature.…”

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confidence: 99%

Ising and spin orders in the iron-based superconductors

2008

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Motivated by recent neutron scattering experiments, we study the ordering of spins in the iron-based superconductors LaFeAs͑O 1−x F x ͒, assuming them in proximity to a Mott insulator in the phase diagram. The ground state of the parent system with x = 0 is a spin-density wave with ordering wave vector Q ជ = ͑0,͒ or ͑ ,0͒. Upon raising the temperature, we find that the system restores SU͑2͒ symmetry, while an Ising symmetry remains broken, explaining the experimentally observed lattice distortion to a monoclinic crystal structure. Upon further temperature increase, the spins finally disorder at a second transition. The phase transition driven by doping with charge carriers similarly splits into an O͑3͒ transition and an Ising transition with z = 3 at larger doping.

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Magnetic model of the tetragonal-orthorhombic transition in the cuprates

Cited by 7 publications

References 22 publications

Preemptive nematic order, pseudogap, and orbital order in the iron pnictides

Preemptive nematic order, pseudogap, and orbital order in the iron pnictides

Theory of electron nematic order in LaFeAsO

Ising and spin orders in the iron-based superconductors

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