Detecting spontaneous symmetry breaking in finite-size spectra of frustrated quantum antiferromagnets
TL;DR: Exact diagonalization is a powerful numerical technique for analysing static and dynamical quantities in quantum many-body lattice models as discussed by the authors, which provides unbiased information concerning quantum numbers, energies and wavefunctions of the low-energy eigenstates for almost any kind of microscopic model.
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Abstract: Exact diagonalization is a powerful numerical technique for analysing static and dynamical quantities in quantum many-body lattice models. It provides unbiased information concerning quantum numbers, energies and wavefunctions of the low-energy eigenstates for almost any kind of microscopic model. The information about energies and quantum numbers is particularly useful to detect possible spontaneous symmetry breaking at T = 0. We review some of the advances in the field of frustrated quantum magnets which have been possible thanks to detailed symmetry analysis of exact diagonalization spectra. New results concerning the kagome and star lattice Heisenberg antiferromagnets are presented.
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Citations
Numerical study of magnetization plateaus in the spin- 1 2 kagome Heisenberg antiferromagnet
Sylvain Capponi,Oleg Derzhko,Oleg Derzhko,Oleg Derzhko,Andreas Honecker,Andreas M. Läuchli,Johannes Richter +6 more
TL;DR: In this paper, the existence of several magnetization plateaux for the kagome S = 1=2antiferromagnetic Heisenberg model in a magnetic field was clarified. But the authors did not specify the exact localized magnon eigenstate.
Valence bond glass phase in dilute kagome antiferromagnets.
TL;DR: A theory for site dilution in the kagome lattice Heisenberg model provides a framework for a comprehensive understanding of thermodynamic, neutron, and Raman measurements in the herbertsmithite material ZnCu3(OH)6Cl2, including recently reported H/T and omega/T scaling.
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Low energy excitations of the kagome antiferromagnet and the spin gap issue
P. Sindzingre,Claire Lhuillier +1 more
TL;DR: In this paper, the authors report the results of exact diagonalizations of SU(2) invariant models on various lattices (square, triangular, hexagonal, checkerboard and kagome lattices).
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Quantum Spin Ice and dimer models with Rydberg atoms
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TL;DR: In this article, the problem of approximately realizing quantum spin ice in two dimensions with cold atoms in optical lattices is addressed, where the relevant interactions are obtained by weakly admixing van der Waals interactions between laser admixed Rydberg states to the atomic ground state atoms, exploiting the strong angular dependence of interactions between rydberg p-states together with the possibility of designing steplike potentials.
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Generalized hard-core dimer model approach to low-energy Heisenberg frustrated antiferromagnets: General properties and application to the kagome antiferromagnet
TL;DR: In this article, a general theoretical framework for low-energy properties of bidimensional frustrated Quantum Heisenberg antiferromagnets (QHAF) is proposed.
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