• Corpus ID: 256358776

Extraordinary-log Universality of Critical Phenomena in Plane Defects

  title={Extraordinary-log Universality of Critical Phenomena in Plane Defects},
  author={Yanan Sun and Minghui Hu and Jian-Ping Lv},
There is growing evidence that extraordinary-log critical behavior emerges on the open surfaces of critical systems in a semi-infinite geometry. Here, using extensive Monte Carlo simulations, we observe extraordinary-log critical behavior on the plane defects of O(2) critical systems in an infinite geometry. In this extraordinary-log critical phase, the large-distance two-point correlation G obeys the logarithmic finite-size scaling G ∼ (ln L ) − ˆ q with the linear size L , having the critical… 

Figures and Tables from this paper

The ordinary surface universality class of the 3D O($N$) model

We study the critical behavior at the ordinary surface universality class of the three-dimensional O($N$) model, bounded by a two-dimensional surface. Using high-precision Monte Carlo simulations of

Extraordinary-Log Surface Phase Transition in the Three-Dimensional XY Model.

This work explores the three-dimensional XY model by Monte Carlo simulations, and provides strong evidence for the emergence of logarithmic universality, and proposes that the finite-size scaling of g(r,L) has a two-distance behavior: simultaneously containing a large-distance plateau whose height decayslogarithmically with L as g(L)∼(lnL)^{-η[over ^]^{'}}.

Quantum extraordinary-log universality of boundary critical behavior

Recent discovery of the extraordinary-log universality has generated tremendous interest in classical and quantum boundary critical phenomena. However, the classical-quantum correspondence of such a

Classical-quantum correspondence of special and extraordinary-log criticality: Villain's bridge

There has been much recent progress on exotic surface critical behavior, yet the classical-quantum correspondence of special and extraordinary-log criticality remains largely unclear. Employing worm

Engineering Surface Critical Behavior of (2+1)-Dimensional O(3) Quantum Critical Points.

This work shows that three types of SCB universality are realized in the dimerized Heisenberg models at the (2+1)-dimensional O(3) quantum critical points by engineering the surface configurations.

A plane defect in the 3d O$(N)$ model

It was recently found that the classical 3d O(N) model in the semi-infinite geometry can exhibit an “extraordinary-log” boundary universality class, where the spin-spin correlation function on the

Surface criticality of the antiferromagnetic Potts model

We study the three-state antiferromagnetic Potts model on the simple-cubic lattice, paying at-tention to the surface critical behaviors. When the nearest neighboring interactions of the surface is

Surface critical properties of the three-dimensional clock model

Using Monte Carlo simulations and finite-size scaling analysis, we show that the q -state clock model with q = 6 on the simple cubic lattice with open surfaces has a rich phase diagram; in particular,

Boundary Criticality of the 3D O(N) Model: From Normal to Extraordinary.

It was recently realized that the three-dimensional O(N) model possesses an extraordinary boundary universality class for a finite range of N≥2. For a given N, the existence and universal properties

Universal conductivity in a two-dimensional superfluid-to-insulator quantum critical system.

For the first time, the shape of the σ(iω(n)) - ρ(∞) function in the Matsubara representation is accurate enough for a conclusive comparison and establishes the particlelike nature of charge transport.

A Monte Carlo study of surface critical phenomena: The special point

We study the special point in the phase diagram of a semi-infinite system, where the bulk transition is in the three-dimensional Ising universality class. To this end we perform a finite size scaling