Heat capacity and thermal relaxation of bulk helium very near the lambda point

Lipa, J. A.; Swanson, D. R.; Nissen, J. A.; Chui, Talso

doi:10.1016/0921-4526(94)90218-6

Cited by 12 publications

(22 citation statements)

References 6 publications

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“…where the amplitude of the leading correction vanishes. Focussing on the neighbourhood of D * we obtain η = 0.03810 (8) and ν = 0.67169 (7), which are consistent with but more accurate than previous Monte Carlo results [12,13]. The discrepancy with the experiments on the λ-transition of 4 He [8-10] is not dissolved.…”

Section: Discussionsupporting

confidence: 79%

“…year ν η ω [11] ǫ-expansion 1998 0.6680 (35) 0.0380(50) 0.802 (18) [11] 3D-expansion 1998 0.6703 (15) 0.0354 (25) 0.789 (11) [12] MC+HT 2006 0.6717(1) 0.0381(2) 0.785 (20) [13] MC 2019 0.67183 (18) 0.03853(48) 0.77 (13) [ 14] conformal bootstrap 2016 0.6719(11) 0.03852 (64) present work MC 2019 0.67169 (7) 0.03810 (8) 0.789 (4) In the present work, we study a generalization of the N-state clock model, which is closely related with the ddXY model that has been studied in refs. [12,15].…”

Section: Ref Methodsmentioning

confidence: 99%

“…Since we have skipped the data with a large amplitude of corrections to scaling, already fits with i max = 2 are consistent with fits using i max = 3. As intermediate results we quote ω = 0.7896(8) for U 4 and L min = 18…”

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confidence: 99%

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Monte Carlo study of an improved clock model in three dimensions

Hasenbusch

2019

Phys. Rev. B

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We study a generalized clock model on the simple cubic lattice. The parameter of the model can be tuned such that the amplitude of the leading correction to scaling vanishes. In the main part of the study we simulate the model with Z 8 symmetry. At the transition, O(2) symmetry is restored.We perform Monte Carlo simulations using a hybrid of local Metropolis and cluster algorithms. The field variable requires less memory and the updates are faster than for a model with O(2) symmetry at the microscopic level. Our finite size scaling analysis yields accurate estimates for the critical exponents of the three-dimensional XY-universality class. In particular we get η = 0.03810(8), ν = 0.67169(7), and ω = 0.789(4). Furthermore we obtain estimates for fixed point values of phenomenological couplings and critical temperatures. * M.Hasenbusch@thphys.uni-heidelberg.de

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Section: Discussionsupporting

confidence: 79%

Section: Ref Methodsmentioning

confidence: 99%

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Monte Carlo study of an improved clock model in three dimensions

Hasenbusch

2019

Phys. Rev. B

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“…We show that, independently whether the noncritical component is in the normal or superfluid phase, the critical behavior of the condensing species belongs to the 3D XY universality class characterized by the breaking of a global U(1) symmetry and by short-range effective interactions. This is the same universality class associated with the BEC of a single bosonic gas [47][48][49][50] (and also with the superfluid transition in 4 He [51,52], with transitions in some liquid crystals characterized by density or spin waves and in magnetic systems with easy-plane anisotropy, etc. [53]).…”

Section: Introductionmentioning

confidence: 72%

Phase diagram and multicritical behaviors of mixtures of three-dimensional bosonic gases

Ceccarelli

Nespolo

Pelissetto³

et al. 2016

Phys. Rev. A

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We investigate the Bose-Einstein condensation (BEC) patterns, the critical and multicritical behaviors of three-dimensional mixtures of bosonic gases with density-density interactions, characterized by a global U(1) U(1) symmetry [one U(1) transformation for each species]. In particular, we consider the three-dimensional Bose-Hubbard model for two lattice bosonic gases coupled by an on-site interspecies density-density interaction. We study the phase diagram and the critical behaviors along the transition lines of the BEC of one or both species. We present mean-field calculations and finite-size scaling analyses of quantum Monte Carlo data. We also investigate the nature of the multicritical points where the BEC transition lines of the two species meet. The corresponding universality classes are inferred from a renormalization-group analysis of the corresponding multicritical U(1)U(1) Landau-Ginzburg-Wilson Φ4 theory. We find two distinct critical behaviors, associated with bicritical and tetracritical points, respectively, depending on the relative strength of the interspecies and intraspecies interactions

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“…The condensate wave function provides the complex order parameter of the BEC transition, whose critical behavior belongs to the U(1)-symmetric XY universality class. This implies that the length scale ξ of the critical modes diverges at T c as [62][63][64][65][66][67][68] ξ ∼ (T − T c ) −ν , ν = 0.6717 (1).…”

Section: The Hamiltonian Of Bh Models Readsmentioning

confidence: 99%

Dimensional crossover of Bose-Einstein-condensation phenomena in quantum gases confined within slab geometries

Delfino

Vicari

2017

Phys. Rev. A

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We investigate systems of interacting bosonic particles confined within slab-like boxes of size L 2 ×Z with Z ≪ L, at their three-dimensional (3D) BEC transition temperature Tc, and below Tc where they experience a quasi-2D Berezinskii-Kosterlitz-Thouless transition (at TBKT < Tc depending on the thickness Z). The low-temperature phase below TBKT shows quasi-long-range order: the planar correlations decay algebraically as predicted by the 2D spin-wave theory. This dimensional crossover, from a 3D behavior for T Tc to a quasi-2D critical behavior for T TBKT, can be described by a transverse finite-size scaling limit in slab geometries. We also extend the discussion to the offequilibrium behavior arising from slow time variations of the temperature across the BEC transition. Numerical evidence of the 3D→2D dimensional crossover is presented for the Bose-Hubbard model defined in anisotropic L 2 × Z lattices with Z ≪ L.

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Heat capacity and thermal relaxation of bulk helium very near the lambda point

Cited by 12 publications

References 6 publications

Monte Carlo study of an improved clock model in three dimensions

Monte Carlo study of an improved clock model in three dimensions

Phase diagram and multicritical behaviors of mixtures of three-dimensional bosonic gases

Dimensional crossover of Bose-Einstein-condensation phenomena in quantum gases confined within slab geometries

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