Magnetic excitations near the quantum phase transition in the Ising ferromagnet<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="normal">Li</mml:mi><mml:mi mathvariant="normal">Ho</mml:mi><mml:msub><mml:mi mathvariant="normal">F</mml:mi><mml:mn>4</mml:mn></mml:msub></mml:mrow></mml:math>

Rønnow, Henrik M.; Jensen, J.; Parthasarathy, Raghuveer; Aeppli, G.; Rosenbaum, T. F.; McMorrow, D. F.; Kraemer, Conradin

doi:10.1103/physrevb.75.054426

Cited by 53 publications

(113 citation statements)

References 39 publications

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“…Furthermore, the interactions are weaker than the level splitting caused by the anisotropy. 4 Similarities between classical and quantum-mechanical predictions, as epitomized by the red curves in Figs. 3 and 4, respectively, indicate the need to study quantum-phase transitions on a materials-specific basis.…”

Section: Discussionmentioning

confidence: 99%

“…The energy-level splitting between the ground-state and first excited doublets is 45 energy units. This splitting is much larger than the interaction strength between the Ho 3+ ions, which is epitomized by the Curie temperature, 1.53 K for LiHoF 4 . 3 Excited levels can therefore be ignored at all temperatures of interest, and the system behaves like an Ising spin with two spin orientations (s z = ±1).…”

Section: Quantum-mechanical Limitmentioning

confidence: 99%

“…3 Excited levels can therefore be ignored at all temperatures of interest, and the system behaves like an Ising spin with two spin orientations (s z = ±1). [2][3][4] However, this argumentation applies to small fields only, not to the transverse fields that cause the magnetization M z to vanish at the zero-temperature (or low-temperature) quantum-phase transition. Figure 4 shows the expectation values <J x > as a function of the transverse field H x .…”

Section: Quantum-mechanical Limitmentioning

confidence: 99%

“…1,2 The quasi-one-dimensional tetragonal compound LiHoF 4 is generally regarded an experimental textbook example of an Ising-like QPT. [3][4][5][6] In the absence of a transverse magnetic field and at low temperatures (including the Curie temperature of about 1.53 K), the ground state of the Ho 3+ ions is a well-defined and nearly degenerate crystal-field doublet (J z = ±8), and this doublet can be mapped onto an Ising spin. However, for two reasons, the Ising character of the magnetism of LiHoF 4 merits a re-examination.…”

Section: Introductionmentioning

confidence: 99%

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On the Ising character of the quantum-phase transition in LiHoF4

Skomski

2016

AIP Advances

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It is investigated how a transverse magnetic field affects the quantum-mechanical character of LiHoF4, a system generally considered as a textbook example for an Ising-like quantum-phase transition. In small magnetic fields, the low-temperature behavior of the ions is Ising-like, involving the nearly degenerate low-lying Jz = ± 8 doublet. However, as the transverse field increases, there is a substantial admixture of states having |Jz| < 8. Near the quantum-phase-transition field, the system is distinctively non-Ising like, and all Jz eigenstates yield ground-state contributions of comparable magnitude. A classical analog to this mechanism is the micromagnetic single point in magnets with uniaxial anisotropy. Since Ho3+ has J = 8, the ion’s behavior is reminiscent of the classical limit (J = ∞), but quantum corrections remain clearly visible.

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Section: Discussionmentioning

confidence: 99%

Section: Quantum-mechanical Limitmentioning

confidence: 99%

Section: Quantum-mechanical Limitmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

On the Ising character of the quantum-phase transition in LiHoF4

Skomski

2016

AIP Advances

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“…12 One aspect of LiHoF 4 which makes it such an interesting material is remarkably well defined and relatively simple microscopic Hamiltonian. 13,14 A recent theme of investigation is the effect of transverse magnetic field on the hardness of this ferromagnet, observed via bulk magnetization measurements taken at 100 mK. 15 A logical complement would be therefore to directly image how the domain structure is modified during this process.…”

Section: Resultsmentioning

confidence: 99%

An ultra-low temperature scanning Hall probe microscope for magnetic imaging below 40 mK

Karcı

Piatek

Jorba

et al. 2014

Review of Scientific Instruments

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We describe the design of a low temperature scanning Hall probe microscope (SHPM) for a dilution refrigerator system. A detachable SHPM head with 25.4 mm OD and 200 mm length is integrated at the end of the mixing chamber base plate of the dilution refrigerator insert (Oxford Instruments, Kelvinox MX−400) by means of a dedicated docking station. It is also possible to use this detachable SHPM head with a variable temperature insert (VTI) for 2 K–300 K operations. A microfabricated 1μm size Hall sensor (GaAs/AlGaAs) with integrated scanning tunneling microscopy tip was used for magnetic imaging. The field sensitivity of the Hall sensor was better than 1 mG/√Hz at 1 kHz bandwidth at 4 K. Both the domain structure and topography of LiHoF4, which is a transverse-field Ising model ferromagnet which orders below TC = 1.53 K, were imaged simultaneously below 40 mK.

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Magnetic Frustration in Spinels, Spin Ice Compounds, A ₃ B ₅ O ₁₂ Garnet, and Multiferroic Materials

Zhao

Kimura

Cheng

et al. 2017

Handbook of Solid State Chemistry

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Frustrated magnets are materials in which localized magnetic moments, or spin, interact through competing exchange interactions that cannot be simultaneously satisfied, giving rise to a large degeneracy of the system ground state. Study of frustration began with antiferromagnets, in which frustration usually has a simple geometric origin. In addition to the fact that real magnetic materials are often frustrated due to several kinds of interactions, frustrated spin systems have their own interest in statistical mechanics. Recent studies show that many established statistical methods and theories have encountered many difficulties in dealing with frustrated systems. Since the mechanisms of many phenomena are not understood in real system (disordered systems, systems with long‐range interaction, three‐dimensional systems, etc.), it is worth to search for the origins of those phenomena in exactly solved systems. These exact results will help to understand qualitatively the behavior of real systems that are in general much more complicated. We survey how the discovery of new materials and improved experimental probes, together with complementary advances in theory, have reinvigorated the study of spin liquids and frustrated magnetism in general. We begin with several concepts in magnetic frustration: Geometric Frustration in Simple Atomic Systems, Fluctuations of the Spins in a Spin Liquid–Classical or Quantum, Spin Vice. After describing their basic physics, we discuss the experimental situation and Interesting Magnetic Frustrated Materials: Highly Frustrated Magnetism in Spinels, Spin Ice Compounds: Ho 2 Ti 2 O 7 and Dy 2 Ti 2 O 7 , A 3 B 5 O 12 Garnet Structure, and Magnetic Frustration in Multiferroic Materials.

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Magnetic excitations near the quantum phase transition in the Ising ferromagnetLiHoF4

Cited by 53 publications

References 39 publications

On the Ising character of the quantum-phase transition in LiHoF4

On the Ising character of the quantum-phase transition in LiHoF4

An ultra-low temperature scanning Hall probe microscope for magnetic imaging below 40 mK

Magnetic Frustration in Spinels, Spin Ice Compounds, A ₃ B ₅ O ₁₂ Garnet, and Multiferroic Materials

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Magnetic excitations near the quantum phase transition in the Ising ferromagnetLiHoF4

Cited by 53 publications

References 39 publications

On the Ising character of the quantum-phase transition in LiHoF4

On the Ising character of the quantum-phase transition in LiHoF4

An ultra-low temperature scanning Hall probe microscope for magnetic imaging below 40 mK

Magnetic Frustration in Spinels, Spin Ice Compounds, A 3 B 5 O 12 Garnet, and Multiferroic Materials

Contact Info

Product

Resources

About

Magnetic Frustration in Spinels, Spin Ice Compounds, A ₃ B ₅ O ₁₂ Garnet, and Multiferroic Materials