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The role of Berry phase in the spectrum of order parameter dynamics: a new perspective on Haldane's conjecture on antiferromagnetic spin chains | | Yue Yu
; Qian Niu
; | | Date: |
17 Mar 2000 | | Subject: | Strongly Correlated Electrons | cond-mat.str-el hep-th | | Affiliation: | ITP, Beijing) and Qian Niu (U. of Texas, Austin | | Abstract: | We formulate the dynamics of local order parameters by extending the recently developed adiabatic spinwave theory involving the Berry curvature, and derive a formula showing explicitly the role of the Berry phase in determining the spectral form of the low-lying collective modes. For antiferromagnetic spin chains, the Berry phase becomes a topological invariant known as the Chern number. Our theory predicts the existence of the Haldane gap for a topologically trivial ground state, and a linear dispersion of low-lying excitations for a non-trivial ground state. | | Source: | arXiv, cond-mat/0003293 | | Services: | Forum | Review | PDF | Favorites | |
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