Ground state of two-dimensional Yukawa bosons: Applications to vortex melting

Magro, W. R.; Ceperley, David M.

doi:10.1103/physrevb.48.411

Cited by 36 publications

(64 citation statements)

References 12 publications

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“…QMC methods have been applied to the investigation of ground-state properties of 2D-SC Bosons by several authors including Xing and Tesanovic [13], Magro and Ceperley [14], Nordborg and Blatter [16], Rossi et al [15], achieving a semi-quantitative characterization of the zero-temperature phase diagram and off-diagonal properties. In the present work, we resort to the shadow path-integral ground state (SPIGS) [36,37] method to compute the imaginary-time intermediate scattering function…”

Section: The Pigs Methodsmentioning

confidence: 99%

“…The parameters in the correlation functions are fixed using on suitable optimization procedures [45,46]. In the present work, following [14] and [15], we relied on the following real and shadow correlations:…”

Section: Shadow Trial Wavefunctions and The Shadow-pigs Methodsmentioning

confidence: 99%

“…This phenomenon is reminiscent of hard-core systems like 4 He. [14]. The red points correspond to the three systems, studied in the present work, where we have computed F (q, τ ), S(q, ω) and one-body density-matrix.…”

Section: Static Propertiesmentioning

confidence: 99%

“…Below a critical threshold, the system is solid for intermediate values of the density and fluid at both very low and high density. The 2D-SC Bose system at T = 0 K has been studied by variational theory [13] and by exact ground-state methods, diffusion Monte Carlo [14] and shadow path integral ground state (SPIGS) simulations [15], and by exact finite-temperature path integral Monte Carlo simulations [16,17]. The main focus of those studies was the phase diagram of the system, and the calculation of ground-state equilibrium properties.…”

Section: Introductionmentioning

confidence: 99%

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Roton Excitations and the Fluid–Solid Phase Transition in Superfluid 2D Yukawa Bosons

et al. 2016

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We compute several groundstate properties and the dynamical structure factor of a 0-temperature system of Bosons interacting with the 2D screened Coulomb (2D-SC) potential. We resort to the exact shadow path-integral ground-state (SPIGS) quantum Monte Carlo method to compute the imaginary-time correlation function of the model, and to the genetic algorithm via falsification of theories (GIFT) to retrieve the dynamical structure factor. We provide a detailed comparison of groundstate properties and collective excitations of 2D-SC and 4 He atoms. The roton energy of the 2D-SC system is an increasing function of density, and not a decreasing one as in 4 He. This result is in contrast with the view that the roton is the soft mode of the fluid-solid transition. We uncover a remarkable quasi-universality of backflow and of other properties when expressed in terms of the amount of short range order as quantified by the height of the first peak of the static structure factor.

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Section: The Pigs Methodsmentioning

confidence: 99%

Section: Shadow Trial Wavefunctions and The Shadow-pigs Methodsmentioning

confidence: 99%

Section: Static Propertiesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Roton Excitations and the Fluid–Solid Phase Transition in Superfluid 2D Yukawa Bosons

et al. 2016

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“…Magro and Ceperley 4 have performed diffusion Monte Carlo ͑DMC͒ and variational Monte Carlo ͑VMC͒ numerical simulations to calibrate the ground state vortex properties and phases ͑liquid or solid͒ that correspond to the density and kinetic energy of the system. Similar work related to the first order phase transition of the Abrikosov lattice to liquid of vortices has been reported by Nordborg and Blatter 5 using the path integral Monte Carlo method.…”

Section: Yukawa Bose Fluid: An Introductionmentioning

confidence: 99%

Yukawa bosons in two-dimensional harmonic confinement

Rajagopal

2007

Phys. Rev. B

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The ground state property of Yukawa Bose fluid confined in a radial harmonic trap is studied. The calculation was carried out using the density functional theory formalism within the Kohn-Sham scheme. The excesscorrelation energy for this inhomogeneous fluid is approximated via the local density approximation. A comparison is also made with the Gross-Piteavskii model. We found that the system of bosons interacting in terms of Yukawa potential in a harmonic trap is energetically favorable compared to the ones interacting via contact delta potential.

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Path integral monte carlo simulation of vortices

Nordborg

Blatter

1996

Czech J Phys

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Ground state of two-dimensional Yukawa bosons: Applications to vortex melting

Cited by 36 publications

References 12 publications

Roton Excitations and the Fluid–Solid Phase Transition in Superfluid 2D Yukawa Bosons

Roton Excitations and the Fluid–Solid Phase Transition in Superfluid 2D Yukawa Bosons

Yukawa bosons in two-dimensional harmonic confinement

Path integral monte carlo simulation of vortices

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