Universal behavior at discontinuous quantum phase transitions

Abstract

Discontinuous quantum phase transitions besides their general interest are clearly relevant to the study of heavy fermions and magnetic transition metal compounds. Recent results show that in many systems belonging to these classes of materials, the magnetic transition changes from second order to first order as they approach the quantum critical point (QCP). We investigate here some mechanisms that may be responsible for this change. Specifically the coupling of the order parameter to soft modes and the competition between different types of order near the QCP. For weak first order quantum phase transitions general results are obtained. In particular we describe the thermodynamic behavior at this transition when it is approached from finite temperatures. This is the discontinuous equivalent of the non-Fermi liquid trajectory close to a conventional QCP in a heavy fermion material.

7 pages, 3 figures

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Cited by in corpus (7)

• Evolution of critical scaling behavior near a ferromagnetic quantum phase transition
• Stability of Quantum Critical Points in the Presence of Competing Orders
• Asymmetric superconductivity in metallic systems
• Fluctuation-induced First Order Quantum Phase Transition of U(1) Quantum Spin Liquid in Pyrochlore Quantum Antiferromagnet
• First order quantum phase transitions
• Quantum discontinuity fixed point and renormalization group flow of the SYK model
• Fluctuations in a superconducting quantum critical point of multi-band metals