Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2006-06-13
Mod.Phys.Lett.A21:2947-2960,2006
Physics
Condensed Matter
Strongly Correlated Electrons
15 pages and 6 figures, the version to appear in Mod.Phys.Lett.A
Scientific paper
10.1142/S0217732306022213
In this paper we shall study a gauge theory of nodal spinons which appears as a low-energy effective theory for antiferromagnetic (AF) Heisenberg models. In most of studies on the nodal spinons given so far, the gauge interaction between spinons was assumed weak and nonperturbative effects like instantons and vortices were ignored. In the present paper, we shall study strong-coupling gauge theory of nodal spinons and reveal its nontrivial phase structure. To this end, we employ recently developed lattice gauge theory techniques for studying finite-temperature and finite-density gauge theory. At low temperature and low spinon-density region, an AF long-range order exists. As temperature and/or density of spinons are increases, a phase transition to nonmagnetic phase takes place. Order of the phase transition is of second (first) order for low (high) density region of spinons. At a quantum critical point at vanishing temperature T=0, abrupt change of spinon density occurs as a function of the chemical potential. Implications of the results to the heavy-fermion materials and the high-$T_c$ cuprates are discussed.
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