Quantum magnetism in two dimensions: From semi-classical Néel order to magnetic disorder
By J. Richter, J. Schulenburg, A. Honecker. 2004
144 citations recorded by the source corpus.
It is known from the Mermin-Wagner theorem that magnetic long-range order can exist in two dimensions only at zero temperature, but even then it can still be destroyed e.g. by quantum fluctuations or geometric frustration. In this context, we review ground-state features of the s=1/2 Heisenberg antiferromagnet on two-dimensional lattices. In order to discuss the interplay of lattice topology and quantum fluctuations we focus on the 11 two-dimensional uniform Archimedean lattices which include e.g. the square, triangular and kagome lattice. The ground state of the spin-1/2 Heisenberg antiferromagnet is likely to be semi-classically ordered in most cases. However, the interplay of geometric frustration and quantum fluctuations gives rise to a quantum paramagnetic ground state without semi-classical long-range order on two lattices which are precisely those among the 11 uniform Archimedean with a highly degenerate ground state in the classical limit s→∞. The first one is the famous kagome lattice where many low-lying singlet excitations are known to arise in the spin gap. The second lattice, called star lattice, is a new example for a quantum paramagnet and has a clear gap to all excitations.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Materials Chemistry
View Paper: https://www.semanticscholar.org/paper/232a8fac9af5ab597cdca616c78de6b21871ef45
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In Atomic and Molecular Physics, and Optics
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- Peter Zoller
- Roderich Moessner
- Mark Saffman
- Andrew J. Daley
- Mikhail D. Lukin
- Nathan Goldman
- J. Dalibard
In Condensed Matter Physics
In Materials Chemistry
Citations in the corpus
- Quantum spin-ice and dimer models with Rydberg atoms (2014, background): “The 4–8 lattice (also known as the CAVO lattice) [99] represents a useful example to illustrate how the combination of a complicated lattice with simple Ising interactions can lead to intriguing quantum dynamics.”