Metamagnetic Quantum Criticality in Sr3Ru2O7

Schofield, A. J.; Millis, Andrew J.; Grigera, S. A.; Lonzarich, G. G.

doi:10.1007/3-540-45814-x_18

Cited by 3 publications

(5 citation statements)

References 39 publications

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“…In this work, we illustrate and compute these signatures within a specific model, i.e., the spin-fluctuation theory for quantum critical metamagnetism, which was put forward by Millis et al 22,23 extending earlier work by Moriya 24 and Yamada. 25 We derive the detailed magnetic field and temperature dependence of thermodynamic quantities, specify the crossover lines in the phase diagram, and give details for the predicted behaviour of thermal expansion that already appeared in a short publication.…”

Section: Introductionmentioning

confidence: 83%

“…12 The outline of the paper is as follows. In section II we introduce the model of Millis et al 22,23 , derive the phase diagram and compute the free energy density. In section III we present the result for thermodynamic quantities, and we conclude in section IV with a summary and discussion.…”

Section: Introductionmentioning

confidence: 99%

“…The potential for the Ising order parameter is promoted to a quantum critical theory by allowing for spatial and temporal variations. The resulting action reads 22,23…”

Section: Introductionmentioning

confidence: 99%

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Quantum criticality in itinerant metamagnets

Zacharias

Garst

2013

Phys. Rev. B

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Critical thermodynamics close to a metamagnetic quantum critical endpoint (QCEP) in a metal is discussed within the framework of spin-fluctuation theory. We analyze the effective potential for the Ising order parameter that is renormalized by spin-fluctuations and acquires a characteristic temperature dependence. The resulting magnetic field, H, and temperature, T, dependence of the magnetization, specific heat, thermal expansion, magnetostriction, susceptibility and the Gr\"uneisen parameter are determined, and the crossover lines in the (H,T) phase diagram are specified. We point out that the metamagnetic QCEP is intrinsically unstable with respect to a magnetoelastic coupling.Comment: 11 pages, 9 figure

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Section: Introductionmentioning

confidence: 83%

Section: Introductionmentioning

confidence: 99%

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Quantum criticality in itinerant metamagnets

Zacharias

Garst

2013

Phys. Rev. B

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“…12 Until recently, it was believed that the metamagnetic transition in this material could be tuned to a quantum critical end point for which a spin fluctuation type of theory was considered appropriate. 13 However, recent experiments on cleaner samples reveal that the approach to the quantum critical end point is pre-empted by a new phase transition, whose origin is itself a subject of investigation currently.…”

Section: Introductionmentioning

confidence: 99%

Interaction correction of conductivity near a ferromagnetic quantum critical point

Paul

2008

Phys. Rev. B

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We calculate the temperature dependence of conductivity due to interaction correction for a disordered itinerant electron system close to a ferromagnetic quantum critical point which occurs due to a spin density wave instability. In the quantum critical regime, the crossover between diffusive and ballistic transport occurs at a temperature, where γ is the parameter associated with the Landau damping of the spin fluctuations, τ is the impurity scattering time, and EF is the Fermi energy. For a generic choice of parameters, T * is few orders of magnitude smaller than the usual crossover scale 1/τ . In the ballistic quantum critical regime, the conductivity has a T (d−1)/3 temperature dependence, where d is the dimensionality of the system. In the diffusive quantum critical regime we get T 1/4 dependence in three dimensions, and ln 2 T dependence in two dimensions. Away from the quantum critical regime we recover the standard results for a good metal.

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“…In two dimensions, the best candidate for a ferromagnetic type of quantum critical behavior is the metamagnetic transition in Sr 3 Ru 2 O 7 [9,10]. This strongly anisotropic compound can be tuned to a quantum critical end point which is believed to be suitable for a description within the spin fluctuation scenario [11]. Transport properties of disordered metallic systems are well understood in the case when the electron-electron interaction is weak enough (so that the system is away from any QCP and the symmetries of the FL state are not broken) [1,12].…”

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confidence: 99%

Quantum Correction to Conductivity Close to a Ferromagnetic Quantum Critical Point in Two Dimensions

et al. 2005

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We study the temperature dependence of the conductivity due to quantum interference processes for a two-dimensional disordered itinerant electron system close to a ferromagnetic quantum critical point. Near the quantum critical point, the cross-over between diffusive and ballistic regimes of quantum interference effects occurs at a temperature T * = 1/τ γ(EF τ ) 2 , where γ is the parameter associated with the Landau damping of the spin fluctuations, τ is the impurity scattering time, and EF is the Fermi energy. For a generic choice of parameters, T * is smaller than the nominal crossover scale 1/τ . In the ballistic quantum critical regime, the conductivity behaves as T 1/3 .PACS numbers: 75.45.+j, 72.15.Rn The interplay between disorder, electron correlations, and low dimensionality is one of the most fascinating topics in the modern condensed matter. To date, most of the studies were limited to the case of "good metals" which, at high enough temperatures, behave as Fermi Liquids (FL) [1,2,3]. However, this interplay is expected to become crucial in the vicinity of a quantum critical point (QCP) where electron correlations are particularly strong [4,5]. Experiments on systems close to quantum phase transitions show striking deviations from the FL theory. In particular, anomalous exponents in the temperature dependence of the conductivity have been observed [6,7], which suggest the presence of strong quantum fluctuations. Of special interest is the case of charge transport in the vicinity of a ferromagnetic QCP. Since ferromagnetic spin fluctuations do not break any lattice symmetry, the contribution of inelastic scattering to resistivity is zero in a clean system, unless Umklapp processes are allowed to relax momentum. In a dirty system, the "interaction" correction to the residual conductivity is expected to be particularly important due to a long-range interaction in the vicinity of the QCP. This correction is due to quantum interference between semi-classical electron paths scattered by the impurities and the self-consistent potential of Friedel oscillations [2]. The goal of this paper is to examine the conductivity of a two-dimensional (2D) disordered metal close to a ferromagnetic QCP and at low enough temperatures, when the lattice-mediated scattering at spin fluctuations is frozen out and the temperature dependence of the conductivity is mainly due to quantum interference effects.The experiments indicate that most of the threedimensional compounds, such as UGe 2 [6] and ZrZn 2 [7], undergo a first-order zero-temperature ferromagnetic transition. More recently, the transition observed in Zr 1−x Nb x Zn 2 is found to be second order down to the lowest measured transition temperature [8]. In two dimensions, the best candidate for a ferromagnetic type of quantum critical behavior is the metamagnetic transition in Sr 3 Ru 2 O 7 [9,10]. This strongly anisotropic compound can be tuned to a quantum critical end point which is believed to be suitable for a description within the spin fluctuation scenario [11]...

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Metamagnetic Quantum Criticality in Sr3Ru2O7

Cited by 3 publications

References 39 publications

Quantum criticality in itinerant metamagnets

Quantum criticality in itinerant metamagnets

Interaction correction of conductivity near a ferromagnetic quantum critical point

Quantum Correction to Conductivity Close to a Ferromagnetic Quantum Critical Point in Two Dimensions

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