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A Line of Critical Points in 2+1 Dimensions: Quantum Critical Loop Gases and Non-Abelian Gauge Theory | | Michael Freedman
; Chetan Nayak
; Kirill Shtengel
; | | Date: |
12 Aug 2004 | | Journal: | Phys.Rev.Lett. 94 (2005) 147205 | | Subject: | Strongly Correlated Electrons | cond-mat.str-el | | Abstract: | We (1) construct a one-parameter family of lattice models of interacting spins; (2) obtain their exact ground states; (3) derive a statistical-mechanical analogy which relates their ground states to O(n) loop gases; (4) show that the models are critical for $dleq sqrt{2}$, where $d$ parametrizes the models; (5) note that for the special values $d=2cos(pi/(k+2))$, they are related to doubled level-$k$ SU(2) Chern-Simons theory; (6) conjecture that they are in the universality class of a non-relativistic SU(2) gauge theory; and (7) show that its one-loop $eta$-function vanishes for all values of the coupling constant, implying that it is also on a critical line. | | Source: | arXiv, cond-mat/0408257 | | Services: | Forum | Review | PDF | Favorites | |
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