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Luk’yanchuk, I.; Jório, Ado; Saint‐Grégoire, P.

doi:10.1103/physrevb.61.3147

Cited by 11 publications

(3 citation statements)

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“…[3, p. 59]). Their discovery triggered considerable theoretical [7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24] and experimental interest [25,26], which has continued over the years, and after a phase of somewhat reduced intensity, has regained a lot of momentum recently [27,28,29,30,31,32,33]-in particular, on the theory side [34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51].…”

Section: Introductionmentioning

confidence: 99%

Bulk and boundary critical behavior at Lifshitz points

Diehl

2005

Pramana - J Phys

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Lifshitz points are multicritical points at which a disordered phase, a homogeneous ordered phase, and a modulated ordered phase meet. Their bulk universality classes are described by natural generalizations of the standard φ 4 model. Analyzing these models systematically via modern fieldtheoretic renormalization group methods has been a long-standing challenge ever since their introduction in the middle of the 1970s. We survey the recent progress made in this direction, discussing results obtained via dimensionality expansions, how they compare with Monte Carlo results, and open problems. These advances opened the way towards systematic studies of boundary critical behavior at m-axial Lifshitz points. The possible boundary critical behavior depends on whether the surface plane is perpendicular to one of the m modulation axes or parallel to all of them. We show that the semi-infinite field theories representing the corresponding surface universality classes in these two cases of perpendicular and parallel surface orientation differ crucially in their Hamiltonian's boundary terms and the implied boundary conditions, and explain recent results along with our current understanding of this matter.

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Section: Introductionmentioning

confidence: 99%

Bulk and boundary critical behavior at Lifshitz points

Diehl

2005

Pramana - J Phys

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“…Thus, in view of Hornreich's 17 original idea regarding "a new multicritical point whose critical behavior is strikingly different from any reported previously" the extension of the LP concept to a first-order phase transition 19 has nothing to do with the main feature of LP i.e., critical behavior. Despite this, attempts are being made at labeling as LPs even those points in which all three incoming transition lines are of the first order, 25 i.e., where there is no critical behavior at all.…”

Section: Discussionmentioning

confidence: 99%

Evolution of the magnetic field–temperature phase diagram inUAs1−xSex

2010

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The evolution of the magnetic field-temperature phase diagram of UAs 1−x Se x with x in the range of 0-0.1 is studied by means of magnetocaloric and specific-heat measurements. Our interest is focused on the hightemperature phase transitions and especially on the point, where the paramagnetic ͑P͒ and two ordered phases meet. For undoped UAs these two ordered states are the ferrimagnetic ͑Fi͒ and the type-I antiferromagnetic phases. According to Sinha et al. ͓Phys. Rev. Lett. 45, 1028 ͑1980͔͒ the antiferromagnetic phase transition is in the vicinity of a Lifshitz point. Furthermore, Kuznietz et al. ͓J. Magn. Magn. Mater. 61, 246 ͑1986͔͒ showed that an incommensurate phase ͑IC͒ emerges between the type-I ͑or type-IA͒ antiferromagnetic and paramagnetic phases in the case of UAs 1−x Se x with 0 Ͻ x Ͻ 0.15 in zero magnetic field. The results reported in this paper show the existence of a T Fi/IC ͑B͒ line that separates the ferrimagnetic region from a phase, which cannot be identified on the basis of our thermodynamic measurements. However, one may assume it is the IC phase, consistent with the above mentioned zero field results. The T Fi/IC ͑B͒ line merges with the order-disorder line at point ͑B p , T p ͒, where the critical line ͑IC/P͒ meets with two first order transitions lines: Fi/P and Fi/IC. This point can be considered as an analog of a Lifshitz point. A simple phenomenological description of the phase transitions near this special point is provided.

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“…On the other hand, another group in A2BO4-type dielectrics (group II), e.g. K2MoO4, K2WO4, Rb2MoO4, and Rb2WO4, take the monoclinic -K2MoO4 type structure (space group C2/m) at room temperature and two typical first-order anomalies were observed above room temperature by differential scanning calorimetry (DSC) measurement [5]. Furthermore, in Rb2MoO4, the existence of polymorphous structures has been confirmed at room temperature Ferroelectrics Vol.513, 67-71 (2017) 2 [6].…”

Section: Introductionmentioning

confidence: 99%

Heat capacity and X-ray scattering studies on phase transitions of Rb₂MoO₄

et al. 2017

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The structural phase transitions of Rb2MoO4 have been reinvestigated using heat capacity measurement and X-ray scattering technique. In as-grown single crystals of Rb2MoO4, the crystal structure is a monoclinic one isomorphous to -K2MoO4 (-sequence) at room temperature. The -sequence transforms into the -sequence (isomorohius to -K2SO4, space group Pnam) at a temperature range from 400 to 500 K. This  transition is reconstructive and depends on both temperature and time, especially with accompanying the temperaturedependent incubation time. In the -sequence, an incommensurate phase characterized by wave vector qx = 1/3 ~ 2/5 was observed below T3=223 K.

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Thermodynamics of the incommensurate state inRb2WO4:The Lifshitz point in

Cited by 11 publications

References 20 publications

Bulk and boundary critical behavior at Lifshitz points

Bulk and boundary critical behavior at Lifshitz points

Evolution of the magnetic field–temperature phase diagram inUAs1−xSex

Heat capacity and X-ray scattering studies on phase transitions of Rb₂MoO₄

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Thermodynamics of the incommensurate state inRb2WO4:The Lifshitz point in

Cited by 11 publications

References 20 publications

Bulk and boundary critical behavior at Lifshitz points

Bulk and boundary critical behavior at Lifshitz points

Evolution of the magnetic field–temperature phase diagram inUAs1−xSex

Heat capacity and X-ray scattering studies on phase transitions of Rb2MoO4

Contact Info

Product

Resources

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Heat capacity and X-ray scattering studies on phase transitions of Rb₂MoO₄