Fetching the paper…
Reading the bibliography…
We study the quasi-two-dimensional quantum O(2) model, a quantum generalization of the Lawrence-Doniach model, within the nonperturbative renormalization-group approach and propose a generic phase diagram for layered three-dimensional systems with an O(2)-symmetric order parameter.
V. L. Berezinskii, Sov. Phys. JETP 32
1970
Earlier work this paper cites.
W. E. Lawrence and S. Doniach, in Proceedings of the 12th International Conference on Low Temperature Physics LT12 , edited by E. Kanada, Kyoto (Academic, New York, 1970)
1970
Earlier work this paper cites.
V. L. Berezinskii, Sov. Phys. JETP 34
1971
Earlier work this paper cites.
J. M. Kosterlitz and D. J. Thouless, “Ordering, metastability and phase transitions in two-dimensional systems,” J. of Phys. C 6
1973
Earlier work this paper cites.
V.L. Berezinskii and A. Ya. Blank, “Thermodynamics of layered isotropic magnets at low temperatures,” Soviet Phys. JETP 37
1973
Earlier work this paper cites.
J. M. Kosterlitz and D. J. Thouless, “The critical properties of the two-dimensional xy model,” J. Phys. C 7
1974
Earlier work this paper cites.
V.L. Pokrovskii and G.V. Uimin, “Magnetic properties of plane and layer systems,” Sov. Phys. JETP 38
1974
Earlier work this paper cites.
Jorge V. José, Leo P. Kadanoff, Scott Kirkpatrick, and David R. Nelson, “Renormalization, vortices, and symmetry-breaking perturbations in the two-dimensional planar model,” Phys. Rev. B 16
1977
Earlier work this paper cites.
David R. Nelson and J. M. Kosterlitz, “Universal Jump in the Superfluid Density of Two-Dimensional Superfluids,” Phys. Rev. Lett. 39
1977
Earlier work this paper cites.
Vinay Ambegaokar, B. I. Halperin, David R. Nelson, and Eric D. Siggia, “Dynamics of superfluid films,” Phys. Rev. B 21
1980
Earlier work this paper cites.
Shinobu Hikami and Toshihiko Tsuneto, “Phase Transition of Quasi-Two Dimensional Planar System,” Prog. Theor. Phys. 63
1980
Earlier work this paper cites.
Petter Minnhagen and G. G. Warren, “Superfluid density of a two-dimensional fluid,” Phys. Rev. B 24
1981
Earlier work this paper cites.
Petter Minnhagen, “The two-dimensional Coulomb gas, vortex unbinding, and superfluid-superconducting films,” Rev. Mod. Phys. 59
1987
Earlier work this paper cites.
Subodh R. Shenoy, “Vortex-loop scaling in the three-dimensional XY ferromagnet,” Phys. Rev. B 40
1989
Earlier work this paper cites.
Wolfhard Janke and Tetsuo Matsui, “Crossover in the XY model from three to two dimensions,” Phys. Rev. B 42
1990
Earlier work this paper cites.
Petter Minnhagen and Peter Olsson, “Monte Carlo calculation of the vortex interaction for high- T c {\mathit{T}}_{\mathit{c}} superconductors,” Phys. Rev. B 44
1991
Earlier work this paper cites.
A. Schmidt and T. Schneider, “Dimensional crossover in the layeredxy-model,” Zeitschrift für Physik B Condensed Matter 87
1992
Earlier work this paper cites.
Stephen W. Pierson and Oriol T. Valls, “Renormalization-group study of a layered-superconductor model,” Phys. Rev. B 45
1992
Cited alongside, same era.
Stephen W. Pierson, Oriol T. Valls, and Hocine Bahlouli, “Critical behavior of a layered-superconductor model,” Phys. Rev. B 45
1992
Cited alongside, same era.
K.H. Fischer, “Kosterlitz-Thouless transition in layered high-Tc superconductors,” Physica C: Superconductivity 210
1993
Cited alongside, same era.
C. Wetterich, “Exact evolution equation for the effective potential,” Phys. Lett. B 301
1993
Cited alongside, same era.
Biplab Chattopadhyay and Subodh R. Shenoy, “Kosterlitz-Thouless signatures from 3D vortex loops in layered superconductors,” Phys. Rev. Lett. 72
1994
Cited alongside, same era.
Rémi Desbuquois, Lauriane Chomaz, Tarik Yefsah, Julian Léonard, Jérôme Beugnon, Christof Weitenberg, and Jean Dalibard, “Superfluid behaviour of a two-dimensional Bose gas,” Nature Physics 8
2012
Later among the works it cites.
Nicolas Laflorencie, “Sliding phase in randomly stacked 2d superfluids/superconductors,” Europhys. Lett. 99
2012
Later among the works it cites.
A. Rançon and N. Dupuis, “Universal thermodynamics of a two-dimensional Bose gas,” Phys. Rev. A 85
2012
Later among the works it cites.
Bertrand Delamotte, “An Introduction to the Nonperturbative Renormalization Group,” in Renormalization Group and Effective Field Theory Approaches to Many-Body Systems , Lecture Notes in Physics, Vol. 852, edited by A. Schwenk and J. Polonyi (Springer Berlin Heidelberg, 2012) pp. 49–132
2012
Later among the works it cites.
A. Rançon and N. Dupuis, “Quantum XY criticality in a two-dimensional Bose gas near the Mott transition,” Europhys. Lett. 104
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Subodh R. Shenoy and Biplab Chattopadhyay, “Anisotropic three-dimensional XY model and vortex-loop scaling,” Phys. Rev. B 51
1995
Cited alongside, same era.
Stephen W. Pierson, “Critical behavior of vortices in layered superconductors,” Phys. Rev. B 51
1995
Cited alongside, same era.
Mark Friesen, “Vortex unbinding and layer decoupling in a quasi-two-dimensional superconductor,” Phys. Rev. B 51
1995
Cited alongside, same era.
M. Gräter and C. Wetterich, “Kosterlitz-Thouless Phase Transition in the Two Dimensional Linear σ \sigma{{}} Model,” Phys. Rev. Lett. 75
1995
Cited alongside, same era.
G. v. Gersdorff and C. Wetterich, “Nonperturbative renormalization flow and essential scaling for the Kosterlitz-Thouless transition,” Phys. Rev. B 64
2001
Cited alongside, same era.
J. Berges, N. Tetradis, and C. Wetterich, “Non-perturbative renormalization flow in quantum field theory and statistical physics,” Phys. Rep. 363
2002
Cited alongside, same era.
L. Benfatto, C. Castellani, and T. Giamarchi, “Kosterlitz-Thouless Behavior in Layered Superconductors: The Role of the Vortex Core Energy,” Phys. Rev. Lett. 98
2007
Cited alongside, same era.
2013
Later among the works it cites.
A. Rançon, O. Kodio, N. Dupuis, and P. Lecheminant, “Thermodynamics in the vicinity of a relativistic quantum critical point in 2 + 1 2+1 dimensions,” Phys. Rev. E 88
2013
Later among the works it cites.
Rémi Desbuquois, Tarik Yefsah, Lauriane Chomaz, Christof Weitenberg, Laura Corman, Sylvain Nascimbène, and Jean Dalibard, “Determination of Scale-Invariant Equations of State without Fitting Parameters: Application to the Two-Dimensional Bose Gas Across the Berezinskii-Kosterlitz-Thouless Transition,” Phys. Rev. Lett. 113
2014
Later among the works it cites.
P. Jakubczyk, N. Dupuis, and B. Delamotte, “Reexamination of the nonperturbative renormalization-group approach to the Kosterlitz-Thouless transition,” Phys. Rev. E 90
2014
Later among the works it cites.
A. Rançon, “Nonperturbative renormalization group approach to quantum X Y XY spin models,” Phys. Rev. B 89
2014
Later among the works it cites.
Shunsuke C. Furuya, Maxime Dupont, Sylvain Capponi, Nicolas Laflorencie, and Thierry Giamarchi, “Dimensional modulation of spontaneous magnetic order in quasi-two-dimensional quantum antiferromagnets,” Phys. Rev. B 94
2016
Later among the works it cites.
P. Jakubczyk and A. Eberlein, “Thermodynamics of the two-dimensional 𝑋𝑌 \mathit{XY} model from functional renormalization,” Phys. Rev. E 93
2016
Later among the works it cites.
Filip Kos, David Poland, David Simmons-Duffin, and Alessandro Vichi, “Precision islands in the Ising and O(N ) models,” Journal of High Energy Physics 2016
2016
Later among the works it cites.
Francesco Delfino and Ettore Vicari, “Dimensional crossover of Bose-Einstein-condensation phenomena in quantum gases confined within slab geometries,” Phys. Rev. A 96
2017
Closest in time.
Pawel Jakubczyk and Walter Metzner, “Longitudinal fluctuations in the Berezinskii-Kosterlitz-Thouless phase,” Phys. Rev. B 95
2017
Closest in time.
Jan Krieg and Peter Kopietz, “Dual lattice functional renormalization group for the Berezinskii-Kosterlitz-Thouless transition: Irrelevance of amplitude and out-of-plane fluctuations,” Phys. Rev. E 96
2017
Closest in time.
Nicolò Defenu, Andrea Trombettoni, István Nándori, and Tilman Enss, “Nonperturbative renormalization group treatment of amplitude fluctuations for | 𝝋 | 4 {|\boldsymbol{\varphi}|}^{4} topological phase transitions,” Phys. Rev. B 96
2017
Closest in time.