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Quantum Critical Spinon Deconfinement | Zaira Nazario
; David I. Santiago
; | Date: |
14 Jun 2006 | Subject: | Strongly Correlated Electrons; Statistical Mechanics | Abstract: | The natural spin 1 excitations of 2+1 D antiferromagnets are made of constituent confined quarks of spin 1/2, spinons. In the quantum paramagnetic phase spinons confinement is due to quantum tunneling events, instantons. There have been recent suggestions of new critical points where spinons are deconfined. We find that irrespective of the intrinsic spin of the antiferromagnet, instanton events disappear at the deconfined critical point because the massless spinons screen them effectively and because instanton tunelling becomes infinitely costly. Spinons are deconfined irrespective of microscopic spin. Berry phase terms relevant to the paramagnetic phase make the confinement length scale diverge more strongly for half-integer spins, next strongest for odd integer spins, and weakest for even integer spins. There is an emergent photon at the deconfined critical point, but the ``semimetallic’’ nature of critical spinons screens such photon making it irrelevant to long distance physics and the deconfined spinons are strictly free particles. A unique prediction of having critical free spinons is an anomalous exponent eta for the susceptibility exactly equal to one. | Source: | arXiv, cond-mat/0606386 | Services: | Forum | Review | PDF | Favorites |
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