Computational Studies of Quantum Spin Systems
By A. Sandvik. 2010
596 citations recorded by the source corpus.
These lecture notes introduce quantum spin systems and several computational methods for studying their ground‐state and finite‐temperature properties. Symmetry‐breaking and critical phenomena are first discussed in the simpler setting of Monte Carlo studies of classical spin systems, to illustrate finite‐size scaling at continuous and first‐order phase transitions. Exact diagonalization and quantum Monte Carlo (stochastic series expansion) algorithms and their computer implementations are then discussed in detail. Applications of the methods are illustrated by results for some of the most essential models in quantum magnetism, such as the S = 1/2 Heisenberg antiferromagnet in one and two dimensions, as well as extended models useful for studying quantum phase transitions between antiferromagnetic and magnetically disordered states.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics
View Paper: https://www.semanticscholar.org/paper/11813ab6c78bdba59397078b8d2341bdf5c96b00
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In Atomic and Molecular Physics, and Optics
In Condensed Matter Physics
Citations in the corpus
- QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains (2016, background): “For all total momenta different from 0 and π, the translation operator does not commute with parity, in which case semi-momentum states producing a real Hamiltonian are the natural choice [51].”
- Thermodynamics (2021, unknown): “[39].”