Specific-heat exponent and critical-amplitude ratio at the Lifshitz multicritical point

Bindilatti, V.; Becerra, C. C.; Oliveira, N. F.

doi:10.1103/physrevb.40.9412

Cited by 31 publications

(29 citation statements)

References 21 publications

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“…It would be interesting to compare some experimental results available for MnP like the specific heat critical amplitude ratio [17] with theoretical calculations within the context of an ǫ L -expansion using the techniques described in the present work. In addition, a thorough RG analysis to prove that all amplitude ratios are indeed universal for the Lifshitz critical behavior was not done yet.…”

Section: Discussionmentioning

confidence: 99%

“…The competition between the ferro and antiferromagnetic interactions in this system provokes a different critical behavior when compared to the pure Ising-like behavior. The magnetic compound MnP has been studied extensively in recent years, confirming the appearance of the uniaxial (m = 1) Lifshitz behavior which was obtained from theoretical [14,15,16] as well as experimental [17] investigations.…”

Section: Introductionmentioning

confidence: 94%

“…Some examples include high-T c superconductors [3,4,5], ferroelectric liquid crystals [6,7,8], uniaxial ferroelectrics [9], some types of polymers [10,11,12,13] and magnetic materials [14,15,16,17]. In particular, the confluence of a disordered, a uniformly ordered and a modulated ordered phase characterizes the special critical point associated to this critical behavior, known as the Lifshitz point.…”

Section: Introductionmentioning

confidence: 99%

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Renormalization-group picture of the Lifshitz critical behavior

Leite

2003

Phys. Rev. B

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New field theoretic renormalization group methods are developed to describe in a unified fashion the critical exponents of an m-fold Lifshitz point at the two-loop order in the anisotropic (m = d) and isotropic (m = d close to 8) situations. The general theory is illustrated for the N -vector φ 4 model describing a d-dimensional system. A new regularization and renormalization procedure is presented for both types of Lifshitz behavior. The anisotropic cases are formulated with two independent renormalization group transformations. The description of the isotropic behavior requires only one type of renormalization group transformation. We point out the conceptual advantages implicit in this picture and show how this framework is related to other previous renormalization group treatments for the Lifshitz problem. The Feynman diagrams of arbitrary loop-order can be performed analytically provided these integrals are considered to be homogeneous functions of the external momenta scales.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 94%

Section: Introductionmentioning

confidence: 99%

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Renormalization-group picture of the Lifshitz critical behavior

Leite

2003

Phys. Rev. B

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“…On the other hand, this amplitude ratio was determined experimentally for MnP and found to be A + A − = 0.65 ± 0.05 [13]. Replacing m = 1, d = 3 into the above expression we find A + A − = 0.74.…”

Section: Discussionmentioning

confidence: 91%

“…From the phenomenological viewpoint, theoretical and experimental studies have proved that manganese phosphide (MnP ) presents a pure uniaxial Lifshitz point (m = 1, d = 3, N = 1) [11,12]. Moreover, the experimental determination of the specific heat amplitude ratio for MnP was realized thirteen years ago by means of susceptibility measurements [13]. A theoretical attempt to describe this amplitude ratio was performed using the mean field approximation [14] by neglecting the contribution of the fluctuations, but the agreement with the experiment was not achieved.…”

Section: Introductionmentioning

confidence: 99%

Specific-heat amplitude ratio for anisotropic Lifshitz critical behaviors

Leite

2003

Phys. Rev. B

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We determine the specific heat amplitude ratio near a m-axial Lifshitz point and show its universal character. Using a recent renormalization group picture along with new field-theoretical ǫ L -expansion techniques, we established this amplitude ratio at one-loop order. We estimate the numerical value of this amplitude ratio for m = 1 and d = 3. The result is in very good agreement with its experimental measurement on the magnetic material M nP . It is shown that in the limit m → 0 it trivially reduces to the Ising-like amplitude ratio.

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Isothermal magnetocaloric effect in the vicinity of the Lifshitz point in Mn_0.9Co_0.1P

Plackowski

Matusiak

Sznajd

2011

Physica Status Solidi (b)

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The magnetic field -temperature (B − T ) phase diagram of the Mn 0.9 Co 0.1 P single crystal is studied in the vicinity of the Lifshitz point by means of isothermal magnetocaloric coefficient (M T ) and AC susceptibility measurements. Results confirm previously reported shape of the B − T phase diagram and locations of characteristic temperatures and fields. At the Curie temperature (T C ) the critical exponent ω, which describes a singularity of M T as a function of magnetic field (M T ∝ B −ω ), is estimated for B parallel to the easy axis to be equal to ω ≈ 0.35. Below T C an evidence of a new enigmatic phase, reported previously for pure MnP, is found in susceptibility data also for Mn 0.9 Co 0.1 P. However, the range of existence of this phase is significantly larger here, than in MnP. At the Lifshitz point we observe a sharp peak in the imaginary part of the magnetic susceptibility. A phenomenological theory is introduced to describe the field dependence of the critical lines from the disordered phase (paramagnetic) to ordered phases (ferromagnetic and modulated). The temperature and field dependences of the magnetocaloric coefficient and susceptibility are also calculated within the same framework.

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Specific-heat exponent and critical-amplitude ratio at the Lifshitz multicritical point

Cited by 31 publications

References 21 publications

Renormalization-group picture of the Lifshitz critical behavior

Renormalization-group picture of the Lifshitz critical behavior

Specific-heat amplitude ratio for anisotropic Lifshitz critical behaviors

Isothermal magnetocaloric effect in the vicinity of the Lifshitz point in Mn_0.9Co_0.1P

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Specific-heat exponent and critical-amplitude ratio at the Lifshitz multicritical point

Cited by 31 publications

References 21 publications

Renormalization-group picture of the Lifshitz critical behavior

Renormalization-group picture of the Lifshitz critical behavior

Specific-heat amplitude ratio for anisotropic Lifshitz critical behaviors

Isothermal magnetocaloric effect in the vicinity of the Lifshitz point in Mn0.9Co0.1P

Contact Info

Product

Resources

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Isothermal magnetocaloric effect in the vicinity of the Lifshitz point in Mn_0.9Co_0.1P