Related Experiment Video
Updated: Jun 29, 2026

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
Published on: August 2, 2019
Evidence for an unconventional universality class from a two-dimensional dimerized quantum heisenberg model
Sandro Wenzel1, Leszek Bogacz, Wolfhard Janke
1Institut für Theoretische Physik and Centre for Theoretical Sciences (NTZ), Universität Leipzig, Leipzig, Germany. wenzel@itp.uni-leipzig.de
Abstract:
The two-dimensional J-J' dimerized quantum Heisenberg model is studied on the square lattice by means of (stochastic series expansion) quantum Monte Carlo simulations as a function of the coupling ratio alpha=J'/J. The critical point of the order-disorder quantum phase transition in the J-J' model is determined as alpha_c=2.5196(2) by finite-size scaling for up to approximately 10 000 quantum spins. By comparing six dimerized models we show, contrary to the current belief, that the critical exponents of the J-J' model are not in agreement with the three-dimensional classical Heisenberg universality class. This lends support to the notion of nontrivial critical excitations at the quantum critical point.
Related Concept Videos
First Law: Particles in Two-dimensional Equilibrium
Newton's first law tells us about the...
The Pauli Exclusion Principle
First Law: Particles in One-dimensional Equilibrium
Second Uniqueness Theorem
In contrast, consider that the electric field is non-unique and apply Gauss's law in divergence form in the region between the conductors and the integral form to the surface...
The Uncertainty Principle
The Quantum-Mechanical Model of an Atom
