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A limit on spin–charge separation in high-Tc superconductors from the absence of a vortex-memory effect


There is a long-standing debate about whether spin–charge separation is the root cause of the peculiar normal-state properties and high superconducting transition temperatures of the high-Tc materials. In the proposed1 state of matter, the elementary excitations are not electron-like, as in conventional metals, but rather the electron ‘fractionalizes’ to give excitations that are chargeless spin-1/2 fermions (spinons) and charge +e bosons (chargons). Although spin–charge separation has been well established in one dimension, the theoretical situation for two dimensions is controversial and experimental evidence for it in the high-Tc materials is indirect. A model2 with sharp experimental tests for a particular type of separation in two dimensions has recently been proposed. Here we report the results of those experimental tests, placing a conservative upper limit of 190 K on the energy of the proposed topological defects known as visons. There is still debate3 about the extent to which this experiment can settle the issue of spin–charge separation in the high-Tc copper oxides, because some forms of the separation are able to avoid the need for visons. But at least one class4,5,6 of theories that all predict a vortex-memory effect now are unlikely models for the copper oxides.

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Figure 1: Vortex ‘memory’ in the YBa2Cu3O6+x phase diagram.
Figure 2: Magnetic flux trapped in a superconducting ring.
Figure 3: Cross-sections and images of flux quanta trapped in a ring with Tc = 6.0 K.


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We thank T. Senthil, M.P.A. Fisher, S. Sachdev, S. Kivelson, P.A. Lee, R.B. Laughlin and P.W. Anderson for discussions, and R. Lee for technical assistance. This work was supported by NSF CAREER and MRSEC grants, a Terman fellowship, the Natural Science and Engineering Research Council of Canada, the Canadian Institute for Advanced Research and the Institute for Theoretical Physics.

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Correspondence to D. A. Bonn.

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Bonn, D., Wynn, J., Gardner, B. et al. A limit on spin–charge separation in high-Tc superconductors from the absence of a vortex-memory effect. Nature 414, 887–889 (2001).

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