  Recent studies of heavy-fermion systems with tunable quantum fluctuations
have focused on a variety of zero-temperature phase transitions that involve
not only the onset of magnetic order but also the destruction of Kondo
entanglement. Motivated by these developments, we investigate the effect of
enhanced quantum fluctuations induced by a transverse magnetic field in an
Ising-anisotropic Kondo lattice model, solved within an extended dynamical mean
field theory using the numerical renormalization group. A line of locally
critical points describes a direct transition from a Kondo-screened
paramagnetic heavy-fermion state to a Kondo-destroyed antiferromagnetic phase.
Along the line, the extracted critical exponents remain unchanged. By probing
the the interplay between quantum fluctuations of the local moments, the Kondo
effect, and magnetic order, this study provides significant new insight into
the global phase diagram of heavy-fermion systems.
