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- Anders W. Sandvik
- Physical review letters
- 2007

Using ground-state projector quantum Monte Carlo simulations in the valence-bond basis, it is demonstrated that nonfrustrating four-spin interactions can destroy the NÃ©el order of the two-dimensionalâ€¦ (More)

- Anders W. Sandvik
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2003

A quantum Monte Carlo algorithm for the transverse Ising model with arbitrary short- or long-range interactions is presented. The algorithm is based on sampling the diagonal matrix elements of theâ€¦ (More)

- Anders W. Sandvik
- Physical review letters
- 2005

A Monte Carlo method for quantum spin systems is formulated in the valence-bond basis. The nonorthogonality allows for an efficient importance-sampled projection of the ground state out of anâ€¦ (More)

- Jie Lou, Anders W. Sandvik, Leon M. Balents
- Physical review letters
- 2007

We study the three-dimensional XY model with a Zq anisotropic term. At temperatures T<Tc this dangerously irrelevant perturbation is relevant only above a length scale Lambda, which diverges as aâ€¦ (More)

- Anders W. Sandvik
- Physical review letters
- 2010

The antiferromagnetic to valence-bond-solid phase transition in the two-dimensional J-Q model (an S=1/2 Heisenberg model with four-spin interactions) is studied using large-scale quantum Monte Carloâ€¦ (More)

- Anders W. Sandvik, Guifre Vidal
- Physical review letters
- 2007

We show that the formalism of tensor-network states, such as the matrix-product states (MPS), can be used as a basis for variational quantum Monte Carlo simulations. Using a stochastic optimizationâ€¦ (More)

These lecture notes introduce quantum spin systems and seve ral computational methods for studying their ground-state and finite-temperature pro pe ties. Symmetry-breaking and critical phenomena areâ€¦ (More)

- Anders W. Sandvik
- Physical review letters
- 2006

The S = 1/2 Heisenberg model is considered on bilayer and single-layer square lattices with couplings J1, J2, with each spin belonging to one J2-coupled dimer. A transition from a NÃ©el to disorderedâ€¦ (More)

We discuss a projector Monte Carlo method for quantum spin models formulated in the valence bond basis, using the S = 1/2 Heisenberg antiferromagnet as an example. Its singlet ground state can beâ€¦ (More)

- Olav F. SyljÅ¯asen, Anders W. Sandvik
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2002

We introduce the concept of directed loops in stochastic series expansion and path-integral quantum Monte Carlo methods. Using the detailed balance rules for directed loops, we show that it isâ€¦ (More)