Nontrivial quantized Berry phases for itinerant spin liquids

Abstract

Quantized Berry phases as local order parameters in t-J models are studied. A texture pattern of the local order parameters is topologically stable due to the quantization of non-Abelian Berry phases defined by low-energy states below a spin gap, which exists in the large J/t case with a few electrons. We have confirmed that itinerant singlets in the wide class of t-J models carry the nontrivial Berry phase pi. In the large J/t case for the one-dimensional t-J model, Berry phases are uniformly pi when the number of electrons is N =4n +2, ($n=0,1,2,...$).

8 pages, 4 figures

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Cited by in corpus (10)

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• Topological Identification of Spin-1/2 Two-Leg Ladder with Four-Spin Ring Exchange
• Path-integral Monte Carlo method for the local Z_2 Berry phase
• Fractionally Quantized Berry Phase, Adiabatic Continuation, and Edge States
• Sequential quantum phase transitions in $J_1$-$J_2$ Heisenberg chains with integer spins ($S>1$): Quantized Berry phase and valence-bond solids
• Fractionally quantized Berry phases of magnetization plateaux in spin-$1/2$ Heisenberg multimer chains
• Fractionally quantized Berry's phase in an anisotropic magnet on the Kagome lattice
• Quantized Berry Phases of a Spin-1/2 Frustrated Two-Leg Ladder with Four-Spin Exchange
• Berry's phase in the multimode Peierls states