Alladi Ramakrishnan Hall

Free, higher derivative scalar field drives quantum phase transition

Santhosh Kumar S

IISER Thiruvananthapuram

We explicitly show that sixth order spatial derivative, Lorentz symmetry violating term in two dimensional space leads to quantum phase transition. We show that around the critical point, the number of zero modes increases dramatically and catalyzes the change in the ground state property of the many-body wave function. We extend the analysis to three dimensional cylindrical geometry and show that the entanglement heat-capacity has similar profile to the heat capacity measurements of high temperature superconductors. We explicitly show that the long-range interactions in the
two dimensional surface explain key features of high temperature superconductors.