Critical exponents and equation of state of the three-dimensional Heisenberg universality class

By M. Campostrini, M. Hasenbusch, A. Pelissetto, P. Rossi, E. Vicari. 2001

342 citations recorded by the source corpus.

We improve the theoretical estimates of the critical exponents for the three-dimensional Heisenberg universality class. We find gamma=1.3960(9), nu=0.7112(5), eta=0.0375(5), alpha=-0.1336(15), beta=0.3689(3), and delta=4.783(3). We consider an improved lattice phi^4 Hamiltonian with suppressed leading scaling corrections. Our results are obtained by combining Monte Carlo simulations based on finite-size scaling methods and high-temperature expansions. The critical exponents are computed from high-temperature expansions specialized to the phi^4 improved model. By the same technique we determine the coefficients of the small-magnetization expansion of the equation of state. This expansion is extended analytically by means of approximate parametric representations, obtaining the equation of state in the whole critical region. We also determine a number of universal amplitude ratios.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics

View Paper: https://www.semanticscholar.org/paper/46bbca982237b2a1a3bf3e241dabf049b40b6b3d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

In Condensed Matter Physics

Citations in the corpus

The nonperturbative functional renormalization group and its applications (2020, methodology): “Table 1: Critical exponents ν, η andω for the three-dimensional O(N) universality class obtained in the FRG approach from DE to second [115, 116], fourth [117] and sixth [118] orders, LPA′′ [119, 120] and BMW approximation [121, 122], compared to Monte Carlo (MC) simulations [123–128], d = 3 perturb”
Bootstrapping the O(N ) vector models (2013, neutral): “5939(10) [51] 1.”
Minimally subtracted six loop renormalization of $O(n)$-symmetric $\phi^4$ theory and critical exponents (2017, background): “6(2) Monte Carlo combined with High-Temperature expansion [37]: η = 0.”
Bootstrapping the O(N) archipelago (2015, neutral): “The green rectangle is the Monte Carlo estimate [58].”
Boundary and interface CFTs from the conformal bootstrap (2015, background): “The critical indices η and ν for N = 0, 1, 2, 3 are taken respectively from references [42], [43], [44] and [45].”