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2012

A reintroduction of dynamical SU(2) gauge fields in Hubbard models

Orland, Peter

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This is a preprint from 1990, in which it is explained how non-Abelian gauge magnets originate as effective dynamics in models of hopping particles.

In particular, an explicit model is discussed in which both link and plaquette terms appear.
The motivation (as explained in a brief apology) to reintroduce the idea is some recent theoretical progress on the topic of optical lattices.

A reintroduction of dynamical SU(2) gauge fields in Hubbard models · Around

Built on

G. ’t Hooft, Nucl. Phys. B138
1978
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E. Fradkin and S. Shenker, Phys. Rev. D19
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D. Horn, Phys. Lett. 100B (1981) 149
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J. Schoenfeld, Nucl. Phys. B185
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F. C. Zhang and T.M. Rice, Phys. Rev. B37
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P. W. Anderson, Science 235
1988
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P. B. Wiegmann, Phys. Rev. Lett. 60
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Earlier work this paper cites.

Similar

V. J. Emery, Phys. Rev Lett. 58
1988
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See for example I. Affleck, in Fields, Strings and Critical Phenomena
1988
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G. Baskaran and P. W. Anderson, Phys. Rev B37
1988
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G. Baskaran and R. Shankar, Mod. Phys. Lett. B2
1988
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V. Kalmeyer and R. B. Laughlin, Phys. Rev. Lett. 59
1989
Cited alongside, same era.
R. Batlogg, R. J. Cava, L. W. Rupp, A. M. Mujse, J. P. Remeika, W. F. Peck, A. S. Cooper and G. P. Espinosa, Phys. Rev. Lett. 61
1989
Cited alongside, same era.
P. Orland, http://ccdb5fs.kek.jp/cgi-bin/img/allpdf?200031897 (1990)

Then

D. Horn, Phys. Lett. B 100
1990
Later among the works it cites.
P. Orland and D. Rohrlich, Nucl. Phys. B338
1990
Later among the works it cites.
E. Fradkin and S. Kivelson, Mod. Phys. Lett. B4
1990
Later among the works it cites.
P. Orland, Nucl. Phys. B372
1992
Later among the works it cites.
L. Tagliacozzo, A. Celi, A. Zamora and M. Lewenstein, arXiv:1205.0496 [cond-mat.quant-gas]
Original
2012
Closest in time.
T. Grass, K. Saha, K. Sengupta and M. Lewenstein, Phys. Rev. A 84
Original
2012
Closest in time.

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1990

Cited alongside, same era.