Vanishing spin stiffness in the spin-1/2 Heisenberg chain for any nonzero temperature

2014/07/02 by J. M. P. Carmelo, Carmelo, J. M. P., Tomaž Prosen +3 · 2 citations
Physics and Astronomy · #Quantum many-body systems #Opinion Dynamics and Social Influence #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.1407.0732

Abstract

Whether at zero spin density m=0 and finite temperatures T>0 the spin stiffness of the spin-1/2 XXX chain is finite or vanishes remains an unsolved and controversial issue, as different approaches yield contradictory results. Here we provide an exact upper bound on the stiffness within a canonical ensemble at any fixed value of spin density m and show that it is proportional to m² L in the thermodynamic limit of chain length L→∞, for any finite, nonzero temperature. Moreover, we explicitly compute the stiffness at m=0 and confirm that it vanishes. This allows us to exactly exclude the possibility of ballistic transport within the canonical ensemble for T>0.

Cited by

• Finite-temperature transport in the gapped spin-1/2 XXZ chain and one-dimensional lattice spinless fermion model
• Ising spin-1/2 XXZ chain's quantum problems beyond the spinon paradigm

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