Coupling of order parameter to conduction electrons produces long-ranged susceptibility at T=0 in metallic magnets, generically driving first-order quantum phase transitions in most 3D homogeneous-magnetization systems while leaving some classes second-order.
We have chosen the staggered magnetization to point in thex-direction
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Generic Long-Range Order-Parameter Correlations in Metallic Quantum Magnets
Coupling of order parameter to conduction electrons produces long-ranged susceptibility at T=0 in metallic magnets, generically driving first-order quantum phase transitions in most 3D homogeneous-magnetization systems while leaving some classes second-order.