标题： 受挫磁体中的安培相 显示英文标题

标题： Ampère phase in frustrated magnets

摘要： 我们报告了一类新的代数自旋液体，其中宏观简并的基态流形不是像自旋冰那样的库仑型，而是安培型。表征安培相的局部约束不是高斯定律，而是安培定律，即对磁化矢量场的旋度的条件，而不是对其散度的条件。因此，在这种流形中演化的激发态不是磁荷标量准粒子，即库仑相中的所谓磁单极子，而是矢量磁环（或虚构电流线）。我们通过分析证明，在继承合作顺磁体性质并受到局部无旋约束的宏观简并流形中，磁关联在空间中以幂律衰减，其指数是空间维度d：安培相是一种d-代数自旋液体。使用具有适当簇动力学的蒙特卡罗模拟，我们在二维和三维的例子中数值验证了这一物理，并说明了安培相与其库仑相的对比。 显示英文摘要

摘要： We report a new class of algebraic spin liquids, in which the macroscopically degenerate ground state manifold is not Coulombic, like in spin ices, but Amp\`ere-like. The local constraint characterizing an Amp\`ere phase is not a Gauss law, but rather an Amp\`ere law, i.e., a condition on the curl of the magnetization vector field and not on its divergence. As a consequence, the excitations evolving in such a manifold are not magnetically charged scalar quasiparticles, the so-called magnetic monopoles in Coulomb phases, but instead vectorial magnetic loops (or fictional current lines). We demonstrate analytically that in a macroscopically degenerate manifold inheriting the properties of a cooperative paramagnet and subject to a local curl-free contraint, magnetic correlations decay in space with a power law whose exponent is the space dimension d: the Amp\`ere phase is a d-algebraic spin liquid. Using Monte Carlo simulations with appropriate cluster dynamics, we confirm this physics numerically in two- and three-dimensional examples, and illustrate how the Amp\`ere phase compares to its Coulomb counterpart.