Abstract
Recent work has analysed how deformations due to the insertion of a defect in a flat hexagonal lattice affect the ground state structure of an interacting fermion field theory. Such modifications result in an increase of the order parameter in the vicinity of the defect and can be explained by a kirigami effect, that is the combined effect of the curvature, locally introduced by the deformation in the lattice tessellation, and of a synthetic gauge field induced by the boundary conditions along the cut, performed to introduce the defect. In this work, we extend the formalism and previous results to include finite temperature effects.
Highlights
Quasiparticles in quantum materials are influenced by the configuration of the crystals in which they move
The unavoidable presence of defects induces an effective change in the topology and the geometry of the lattice, with drastic consequences on quasiparticles propagation
The Coleman-Weinberg mechanism [78] explains how symmetries may spontaneously break as a result of quantum effects, predicting a phase transition from a broken to a restored symmetry phase as the mass is increased
Summary
Quasiparticles in quantum materials are influenced by the configuration of the crystals in which they move. The unavoidable presence of defects induces an effective change in the topology and the geometry of the lattice, with drastic consequences on quasiparticles propagation. Novel developments have enlightened the response of these materials to geometrical deformation and/or electromagnetic stimulation In such a context, classical EinsteinCartan geometry (see [33] and reference therein) provides the best framework within which modeling the effective theories that describe exotic quantum phases, with torsioninduced defects contributing in a critical way to current anomalies [34,35,36,37,38,39,40]. Fermion conductivity of quantum materials is in general sensible to the intrinsic conformational properties of the hosting lattices and to the temperature of the system and eventually to the occurrence of inhomogeneous and anisotropic phases. We will see how this proposal can be extended to the case of symmetry breaking on engineered curved lattices
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