# Universal Scaling of the Neel Temperature of Near-Quantum-Critical Quasi-Two-Dimensional Heisenberg Antiferromagnets

@article{Yao2007UniversalSO, title={Universal Scaling of the Neel Temperature of Near-Quantum-Critical Quasi-Two-Dimensional Heisenberg Antiferromagnets}, author={Dao-Xin Yao and Anders W. Sandvik}, journal={Physical Review B}, year={2007}, volume={75}, pages={052411} }

We use a quantum Monte Carlo method to calculate the Neel temperature T_N of weakly coupled S=1/2 Heisenberg antiferromagnetic layers consisting of coupled ladders. This system can be tuned to different two-dimensional scaling regimes for T > T_N. In a single-layer mean-field theory, \chi_s^{2D}(T_N)=(z_2J')^{-1}, where \chi_s^{2D} is the exact staggered susceptibility of an isolated layer, J' the inter-layer coupling, and z_2=2 the layer coordination number. With a renormalized z_2, we find… Expand

#### 3 Citations

Dimensional crossover and phase transitions in coupled chains: Density matrix renormalization group results

- Physics
- 2020

Quasi-one-dimensional (Q1D) systems, i.e., three- and two-dimensional (3D/2D) arrays composed of weakly coupled one-dimensional lattices of interacting quantum particles, exhibit rich and fascinating… Expand

Bridging Lattice-Scale Physics and Continuum Field Theory with Quantum Monte Carlo Simulations

- Physics
- 2013

We discuss designer Hamiltonians—lattice models tailored to be free from sign problems (“de-signed”) when simulated with quantum Monte Carlo (QMC) methods but which still host complex many-body… Expand

Reduced dimensionality in layered quantum dimer magnets: Frustration vs. inhomogeneous condensates

- Physics
- 2007

Motivated by recent experiments on BaCuSi2O6, we investigate magnetic excitations and quantum phase transitions of layered dimer magnets with inter-layer frustration. We consider two scenarios, (A) a… Expand

#### References

Quantum phase transitions

- Physics
- 1999

Nature abounds with phase transitions. The boiling and freezing of water are everyday examples of phase transitions, as are more exotic processes such as superconductivity and superfluidity. The… Expand