arXiv subjects

Martino De Prato

Publications and source records attributed to Martino De Prato.

3 recordsLinked to original sources

arXiv2006

Spin-density-wave order in cuprates

We study the nature of the two-dimensional quantum critical point separating two phases with and without long-range spin-density-wave order, which has been recently observed in cuprate superconductors. We consider the Landau-Ginzburg-Wilson Hamiltonian associated with the spin-density critical modes, perform a mean-field analysis of the phase diagram, and study the corresponding renormalization-group flow in two different perturbative schemes at five and six loops, respectively. The analysis supports the existence of a stable fixed point in the full theory whose basin of attraction includes systems with collinear spin-density-wave order, as observed in experiments. The stable fixed point is characterized by an enlarged O(4)xO(3) symmetry. The continuous transition observed in experiments is expected to belong to this universality class. The corresponding critical exponents are nu = 0.9(2) and eta = 0.15(10).

cond-mat.stat-mech↗

arXiv2003

The normal-to-planar superfluid transition in Helium 3

We study the nature of the Helium-3 superfluid transition from the normal to the planar phase, which is expected to be stabilized by the dipolar interactions. We determine the RG flow of the corresponding Landau-Ginzburg-Wilson theory by exploiting two fixed-dimension perturbative schemes: the massive zero-momentum scheme and the minimal-subtraction scheme without $ε$ expansion. The analysis of the corresponding six-loop and five-loop series shows the presence of a stable fixed point in the relevant coupling region. Therefore, we predict the transition to be continuous. We also compute critical exponents. The specific-heat exponent $α$ is estimated as $α= 0.20(15)$, while the magnetic susceptibility and magnetization exponents $γ_H$ and $β_H$ for Helium 3 are $γ_H = -0.34(5)$, $β_H = 1.07(9)$.

cond-mat.stat-mech↗

arXiv2003

Third-harmonic exponent in three-dimensional N-vector models

We compute the crossover exponent associated with the spin-3 operator in three-dimensional O(N) models. A six-loop field-theoretical calculation in the fixed-dimension approach gives $ϕ_3 = 0.601(10)$ for the experimentally relevant case N=2 (XY model). The corresponding exponent $β_3 = 1.413(10)$ is compared with the experimental estimates obtained in materials undergoing a normal-incommensurate structural transition and in liquid crystals at the smectic-A--hexatic-B phase transition, finding good agreement.

cond-mat.stat-mech↗