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首页> 外文期刊>Annals of Physics >Theory of Spin Excitations in Undoped and Underdoped Cuprates
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Theory of Spin Excitations in Undoped and Underdoped Cuprates

机译:未掺杂和未掺杂铜酸盐中的自旋激发理论

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摘要

We consider the magnetic properties of high T_c cuprates from a gauge theory point of view, with emphasis on the underdoped regime. Underdoped cuprates possess certain antiferromagnetic correlations. as evidenced,for example, by different temperature dependence of the Cu and O site NMR relaxation rates, that are not captured well by slave boson mean field theories of the t-J model. We show that the inclusion of gauge fluctuations will remedy the deficiencies of the mean field theories. As a concrete illustration of the gauge-fluctuation restoration of the antiferromangetic correlation and the feasibility of the 1/N perturbation theory,the Heisenberg spin chain is analyzed in terms of a 1+1D U(1) gauge theory with massless Dirac fermions. The 1/N-perturbative treatment of the same gauge theory in 2+1D(which can be motivated from the mean field #pi#-flux phase of the Heisenberg model) leads to a dynamical mass generation corresponding to an antiferromagnetic ordering. On the other hand, it is argued that in a similar gauge theory with an additional coupling to a Bose(holon) field, symmetry breaking does not occur,but antiferromagnetic correlations are enhanced, which is the situation in the underdoped cuprates.
机译:我们从量规理论的角度考虑了高T_c铜酸盐的磁性能,重点是低掺杂体系。掺杂不足的铜酸盐具有某些反铁磁相关性。例如,通过对Cu和O位NMR弛豫率的不同温度依赖性证明,t-J模型的奴隶玻色子平均场理论不能很好地捕捉到这一点。我们表明,包含规范波动将弥补平均场理论的不足。作为反铁磁相关性的轨距波动恢复和1 / N扰动理论的可行性的具体例证,根据具有无质量Dirac费米子的1 + 1D U(1)轨距理论对Heisenberg自旋链进行了分析。相同规范理论在2 + 1D中的1 / N扰动处理(可以从Heisenberg模型的平均场#pi#-磁通相激发)导致产生动态质量,该质量对应于反铁磁有序。另一方面,有人认为,在类似的轨距理论中,附加了与玻色子(holon)场的耦合,不会发生对称破坏,但反铁磁相关性会增强,这是掺杂不足的铜酸盐的情况。

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