An effective quantum rotor model connects finite-size energy splittings seen in exact diagonalization to the ObQD selection energy scale, allowing detection of quantum-selected order in one-, two-, and three-dimensional frustrated spin models.
Studying Continuous Symmetry Breaking using Energy Level Spectroscopy
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abstract
Tower of States analysis is a powerful tool for investigating phase transitions in condensed matter systems. Spontaneous symmetry breaking implies a specific structure of the energy eigenvalues and their corresponding quantum numbers on finite systems. In these lecture notes we explain the group representation theory used to derive the spectral structure for several scenarios of symmetry breaking. We give numerous examples to compute quantum numbers of the degenerate groundstates, including translational symmetry breaking or spin rotational symmetry breaking in Heisenberg antiferromagnets. These results are then compared to actual numerical data from Exact Diagonalization.
fields
cond-mat.str-el 2years
2025 2verdicts
UNVERDICTED 2representative citing papers
Reports spontaneous continuous symmetry breaking and a tower of states in a 1D comb-chain antiferromagnet with short-range interactions, linked to the Marshall-Lieb-Mattis theorem.
citing papers explorer
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Finite-Size Spectral Signatures of Order by Quantum Disorder: A Perspective from Anderson's Tower of States
An effective quantum rotor model connects finite-size energy splittings seen in exact diagonalization to the ObQD selection energy scale, allowing detection of quantum-selected order in one-, two-, and three-dimensional frustrated spin models.
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Spontaneous continuous-symmetry breaking and tower of states in a comb chain
Reports spontaneous continuous symmetry breaking and a tower of states in a 1D comb-chain antiferromagnet with short-range interactions, linked to the Marshall-Lieb-Mattis theorem.