Critical behavior of the magnetic susceptibility of the uniaxial ferromagnet LiHo<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">F</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>

Beauvillain, P.; Renard, J.P.; Laursen, I.; Walker, P.J.

doi:10.1103/physrevb.18.3360

Cited by 58 publications

(37 citation statements)

References 22 publications

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“…A summary of the extracted values of H c are listed in Table I. In Figs. 3(c) and 3(d), we show that β H = 0.47 (8), which is close to the mean-field exponent of 0.5. Within the uncertainty of the fits, the critical exponent does not change on dilution.…”

Section: B Transverse Field Dependencesupporting

confidence: 71%

Phase diagram of diluted Ising ferromagnetLiHoxY1−xF4

et al. 2016

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We present a systematic study of the phase diagram of LiHo x Y 1−x F 4 (0.25 x 1) Ising ferromagnets obtained from neutron scattering measurements and mean-field calculations. We show that while the thermal phase transition decreases linearly with dilution, as predicted by mean-field theory, the critical transverse field at the quantum critical point is suppressed much faster. This behavior is related to competition between off-diagonal dipolar coupling and quantum fluctuations that are tuned by doping and applied field, respectively. In this paper, we quantify the deviation of the experimental results from mean-field predictions, with the aim that this analysis can be used in future theoretical efforts towards a quantitative description.

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Section: B Transverse Field Dependencesupporting

confidence: 71%

Phase diagram of diluted Ising ferromagnetLiHoxY1−xF4

et al. 2016

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“…1 both the real and imaginary parts of the susceptibility as a function of T for zero transverse field. x 0 ͑T ͒ diverges at T c 1.53 K, below which the Ho spins order ferromagnetically [14,15]. At the identical temperature, there is a sharp increase in x 00 ͑T ͒, most likely due to the motion of domain walls [16].…”

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confidence: 97%

Quantum Critical Behavior for a Model Magnet

Bitko

Rosenbaum

Aeppli³

1996

Phys. Rev. Lett.

270

360

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The classical, thermally driven transition in the dipolar-coupled Ising ferromagnet LiHoF 4 ͑T c 1.53 K͒ can be converted into a quantum transition driven by a transverse magnetic field H t at T 0. The transverse field, applied perpendicular to the Ising axis, introduces channels for quantum relaxation, thereby depressing T c . We have determined the phase diagram in the H t -T plane via magnetic susceptibility measurements. The critical exponent, g 1, has a mean-field value in both the classical and quantum limits. A solution of the full mean-field Hamiltonian using the known LiHoF 4 crystal-field wave functions, including nuclear hyperfine terms, accurately matches experiment. [S0031-9007(96) Quantum phase transitions can differ fundamentally from their classical counterparts because of the unparalleled influence of the dynamics on the T 0 static critical behavior [1]. In addition, unusual electronic and magnetic behavior can arise at nonzero temperature. Thus includes the peculiar mix of the spin and charge degrees of freedom in transition-metal oxides [2], the apparent "non-Fermi-liquid" behavior of highly correlated f-electron compounds [3,4], and the unusual normal-state properties of the high-T c superconducting cuprates [5][6][7][8]. The remarkable properties of these systems have been ascribed in each case to the proximity of a T 0 quantum critical point.There remain considerable experimental and theoretical barriers to describing quantum phase transitions with fidelity and precision. In the high-temperature superconductors, for example, the superconductivity masks the direct study of the quantum order-disorder transition. In heavy-fermion materials, characterization of the T 0 magnetic instability is complicated by the presence of charge carriers and by substitutional disorder. In spin glasses [9], the combination of frustration and disorder impedes consensus on a correct description of even the thermally driven transition. Moreover, despite their power and elegance, pressure-tuning studies of quantum critical points [2,3,10] cannot approach the exactitude which has become the hallmark of experiments on classical critical phenomena.High-precision measurements of quantum critical behavior in clean, insulating magnets simply do not exist, even with the great current interest in quantum phase transitions. Therefore, we have carried out such measurements for a model magnet LiHoF 4 . The key conclusion is that the quantum critical behavior is mean-fieldlike, as predicted by long-standing and elegant theory identifying ͑T 0͒ quantum phase transitions in d dimensions with thermal phase transitions in d 1 1 dimensions [11]. Furthermore, a mean-field theory using known magnetic parameters quantitatively describes the observed magnetic susceptibility in both the quantum and the thermal regimes.LiHoF 4 in an external field H t is the experimental realization of the simplest quantum spin model, namely, the Ising magnet in a transverse magnetic field. The corresponding Hamiltonian iswhere the s's are Pauli spin mat...

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“…Using renormalization group arguments, Larkin and Khmelnitskii [8] and Aharony [9] showed that d * = 3 is the upper critical dimension for mean-field critical behaviour in a dipolar ferromagnet. This observation led to significant experimental efforts to find the expected logarithmic corrections to mean-field theory in LiHoF 4 [10,11,12,13,14]. The demagnetization field also renders the ferromagnetic transition quite peculiar in the presence of dipolar interactions [4] as these oppose a uniform magnetization and leads to the formation of domains below the transition [5,15].…”

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confidence: 99%

Collective Phenomena in the LiHo_xY_1−xF₄Quantum Ising Magnet: Recent Progress and Open Questions

Gingras

Henelius

2011

J. Phys.: Conf. Ser.

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Abstract. In LiHo x Y 1−x F 4 , the magnetic Holmium Ho 3+ ions behave as effective Ising spins that can point parallel or antiparallel to the crystalline c-axis. The predominant inter-Ho 3+ interaction is dipolar, while the Y 3+ ions are non-magnetic. The application of a magnetic field B x transverse to the c-axis Ising direction leads to quantum spin-flip fluctuations, making this material a rare physical realization of the celebrated transverse field Ising model. The problems of classical and transverse-field-induced quantum phase transitions in LiHo x Y 1−x F 4 in the dipolar ferromagnetic (x = 1), diluted ferromagnetic (0.25 x < 1) and highly diluted x 0.25 dipolar spin glass regimes have attracted much experimental and theoretical interest over the past twenty-five years. Two questions have received particular attention: (i) is there an antiglass (quantum disordered) phase at low Ho 3+ concentration and (ii) what is the mechanism responsible for the fast B x -induced destruction of the ferromagnetic (0.25 x < 1) and spin glass (x 0.25) phases? This paper reviews some of the recent theoretical and experimental progress in our understanding of the collective phenomena at play in LiHo x Y 1−x F 4 , in both zero and nonzero B x .

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Critical behavior of the magnetic susceptibility of the uniaxial ferromagnet LiHoF4

Cited by 58 publications

References 22 publications

Phase diagram of diluted Ising ferromagnetLiHoxY1−xF4

Phase diagram of diluted Ising ferromagnetLiHoxY1−xF4

Quantum Critical Behavior for a Model Magnet

Collective Phenomena in the LiHo_xY_1−xF₄Quantum Ising Magnet: Recent Progress and Open Questions

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Critical behavior of the magnetic susceptibility of the uniaxial ferromagnet LiHoF4

Cited by 58 publications

References 22 publications

Phase diagram of diluted Ising ferromagnetLiHoxY1−xF4

Phase diagram of diluted Ising ferromagnetLiHoxY1−xF4

Quantum Critical Behavior for a Model Magnet

Collective Phenomena in the LiHoxY1−xF4Quantum Ising Magnet: Recent Progress and Open Questions

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Collective Phenomena in the LiHo_xY_1−xF₄Quantum Ising Magnet: Recent Progress and Open Questions