Bose-Einstein Condensation of Dilute Magnons in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>TlCuCl</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>

Nikuni, Tetsuro; Oshikawa, Masaki; Oosawa, Akira; Tanaka, Hidekazu

doi:10.1103/physrevlett.84.5868

Cited by 686 publications

(794 citation statements)

References 21 publications

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“…The spontaneously broken gauge symmetry produces many fundamental properties of superfluid 4 He, such as its two-fluid hydrodynamics, critical exponents, and quantization of circulation. Recent interest in Bose condensation encompasses a broad range of topics 4 , including dilute atomic gases 5 , solid state excitations [6][7][8][9][10][11] , non-linear optical systems 12,13 , neutron stars 14 , and gravitation [15][16][17] . Bulk superfluid 4 He represents the strongly interacting limit of Bosecondensed systems due to the steeply repulsive core of its interatomic potential.…”

Section: Introductionmentioning

confidence: 99%

The Momentum Distribution of Liquid $$^4\hbox {He}$$

et al. 2017

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We report high-resolution neutron Compton scattering measurements of liquid 4 He under saturated vapor pressure. There is excellent agreement between the observed scattering and ab initio predictions of its lineshape. Quantum Monte Carlo calculations predict that the Bose condensate fraction is zero in the normal fluid, builds up rapidly just below the superfluid transition temperature, and reaches a value of approximately 7.5% below 1 K. We also used model fit functions to obtain from the scattering data empirical estimates for the average atomic kinetic energy and Bose condensate fraction. These quantities are also in excellent agreement with ab initio calculations.The convergence between the scattering data and Quantum Monte Carlo calculations is strong evidence for a Bose broken symmetry in superfluid 4 He. 1 arXiv:1703.03018v1 [cond-mat.other]

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Section: Introductionmentioning

confidence: 99%

The Momentum Distribution of Liquid $$^4\hbox {He}$$

et al. 2017

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“…Above 6 T a fieldinduced Néel order with transverse staggered magnetization is observed, [2] which has been described by a Bose-Einstein condensation of magnons. [1] The ground state of TlCuCl3 is very sensitive to pressure, hydrostatic pressure of order 0.5 GPa is sufficient to induce the Néel order already in zero magnetic field. [3] In order to obtain more information about this drastic influence of pressure we performed high-resolution measurements of the thermal expansion αi = ∂ ln Li/∂T and the magnetostriction ǫi = (Li(H) − Li(0))/Li(0) and derive the uniaxial pressure dependencies of the transition temperatures and fields.…”

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confidence: 99%

Uniaxial pressure dependencies of the phase boundary of TlCuCl3

Johannsen¹,

Oosawa²,

Tanaka³

et al. 2006

Physica B: Condensed Matter

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We present a thermal expansion and magnetostriction study of TlCuCl3, which shows a magnetic-field induced transition from a spin gap phase to a Néel ordered phase. Using Ehrenfest relations we derive huge and strongly anisotropic uniaxial pressure dependencies of the respective phase boundary, e.g. the transition field changes by about ±185 %/GPa depending on the direction of uniaxial pressure.

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“…The magnetic field is applied perpendicular to the bc plane which adds a Zeeman term to the model. For magnetic fields (B) close to the critical field (B c ), Zeeman term competes with the spin exchange interaction and system enters a field induced ferromagnetic state 5,6 . The field induced ferromagnetic phase (B > B c ) has gapped quasi-particles, gapped magnons.…”

Section: Introductionmentioning

confidence: 99%

“…In this work we have studied the mentioned quantum phase transition based on Bose-Einstein condensation of magnons via a bosonic gas model 7 . Bloch 8 applied the Bose-Einstein quantum statistics to the excitations in solids which gives the basic notion to relate Bose-Einstein of magnons to the magnetic ordering in the original spin model 6,9 .…”

Section: Introductionmentioning

confidence: 99%

Effect of anisotropy on the field-induced quantum critical properties of the three-dimensionals=12Heisenberg model

Rezania

Langari

2010

Phys. Rev. B

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The field induced quantum critical properties of the three dimensional spin-1/2 anisotropic antiferromagnetic Heisenberg model has been studied. We have investigated the quantum phase transition between the spiral order and field induced ferromagnetic order by means of Bose-Einstein condensation of magnons in terms of a bosonic representation. The effect of in-plane anisotropy on the critical properties has been studied via the bosonic model by Green's function approach. We have found an analytic expression for the gap exponent in addition to numerical results for the critical magnetic field in terms of anisotropy parameter. The in-plane anisotropy breaks the U(1) symmetry explicitly which changes the universal behavior by a drastic change on the gap exponent. Moreover, the critical magnetic field depends strongly on the in-plane anisotropies. The divergence of the transverse structure factor at the antiferromagnetic wave vector confirms the onset of the magnetic order which scales with the negative value of gap exponent as the magnetic field approaches the critical one. The transverse staggered magnetization as an order parameter vanishes with exponent β = 0.5 when the magnetic field reaches its critical value in low field region.

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Bose-Einstein Condensation of Dilute Magnons inTlCuCl3

Cited by 686 publications

References 21 publications

The Momentum Distribution of Liquid $$^4\hbox {He}$$

The Momentum Distribution of Liquid $$^4\hbox {He}$$

Uniaxial pressure dependencies of the phase boundary of TlCuCl3

Effect of anisotropy on the field-induced quantum critical properties of the three-dimensionals=12Heisenberg model

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