  Exploration of low temperature phase transitions associated with quantum
critical point is one of the most mystifying fields of research which is under
intensive focus in recent times. In this work, through comprehensive
experimental evidences, we report the possibility of achieving quantum
criticality in the neighborhood of a magnetic field-tuned tricritical point
separating paramagnetic, antiferromagnetic and metamagnetic phases in a
magnetic insulator, DyVO4. Magnetic susceptibility and heat capacity indicate
to the presence of a long-range second order antiferromagnetic transition at TN
~ 3.2 K. Field variation of Magnetic susceptibility and heat capacity, along
with differential magnetic susceptibility and DC field dependent AC
susceptibility gives evidence of the modification of the antiferromagnetic
structure below the tricritical point; implying the presence of a field-induced
first order metamagnetic transition which persists down to 1.8 K. Further, the
magnetic field dependence of the thermodynamic quantity -dM/dT, which is
related to magnetic Gruneisen parameter, approaches a minimum, followed by a
crossover near 5 kOe to a maximum; along with a hyperbolic divergence in
temperature response of dM/dT in the critical field regime. Temperature
response of heat capacity at 5 kOe also shows a deviation from the conventional
behavior. Entropic topography phase diagram allows tracking of the variation of
the entropy, which indicates towards the emergence of the peak at quantum
critical point into a V-shaped region at high temperatures. Our studies yield
an inimitable phase diagram describing a tricritical point at which the
second-order antiferromagnetic phase line terminates followed by a first order
line of metamagnetic transition, as the temperature is lowered, leading to
metamagnetic quantum critical end point.
