arXiv subjects

Mario Solís

Publications and source records attributed to Mario Solís.

4 recordsLinked to original sources

arXiv2026

Reduce dimensional quantum criticality for Non-Fermi liquids

We present a reduced dimension theoretical framework for studying quantum field theories at finite density, providing a tractable model for investigating non-Fermi liquid (NFL) behavior near quantum phase transitions. Our approach departs from the standard paradigm by placing bosons and fermions in different spatial dimensions: bosonic fields reside in a $(d+1)$-dimensional bulk, while fermionic fields are confined on a $d$-dimensional boundary. This dimensional separation significantly simplifies the renormalization group (RG) analysis of gapless boson-fermion coupling. We demonstrate that the tree-level boson exchange contributions, which typically exhibit logarithmic divergences, become finite in our reduced-dimension scheme. Furthermore, the $\log^2$ and $\log^3$ divergences that characterize 1-loop four-fermion interactions in conventional treatments are reduced to logarithmic divergences within this framework, substantially improving the convergence properties of the perturbative expansion and allowing controlled theoretical analysis of NFL physics.

cond-mat.str-el↗

arXiv2026

Plasticity from Symmetry: A Gauge-Theoretic Framework

Plastic deformation is widely regarded as an intrinsically dissipative phenomenon and its theoretical description is largely phenomenological. We argue instead that plasticity possesses a non-dissipative, symmetry determined backbone: defect kinematics are fixed by symmetry prior to dissipation and separate from constitutive assumptions. Starting from the spontaneous breaking of spacetime symmetries in a crystalline phase, we construct an effective field theory in which elasticity and geometry reorganize into a coupled higher-rank tensor vector gauge structure. The gauge fields are not postulated, rather they emerge naturally from stress and defect conservation laws. Dislocations, disclinations, and torsional defects appear as gauge charges of non-integrable geometry whose continuity equations and mobility constraints follow directly from Gauss laws. This clarifies the long-standing ambiguity over which variables are fundamental in the gauge theory of defects and shows that plasticity admits an ideal gauge-theoretic formulation, with dissipative flow arising as a controlled deformation of this conservative theory.

cond-mat.mtrl-sci↗

arXiv2023

Nonrelativistic Dirac fermions on the torus

Two dimensional conformal feld theories have been extensively studied in the past. When considered on the torus, they are strongly constrained by modular invariance. However, introducing relevant deformations or chemical potentials pushes these theories away from criticality, where many of their aspects are still poorly understood. In this note we make a step towards filling this gap, by analyzing the theory of a Dirac fermion on the torus, deformed by a mass term and a chemical potential for the particle number symmetry. The theory breaks conformal and Lorentz invariance, and we study its spectrum and partition function. We also focus on two limits that are interesting on their own right: a massless relativistic fermion with nonzero chemical potential (a simple model for CFTs at finite density), and nonrelativistic Schrodinger fermions (of relevance in condensed matter systems). Taking inspiration from recent developments in massive modular forms, we obtain a representation of the torus free energy based on Fourier-transforming over a twisted boundary condition. This dual representation fullfills many properties analogous to modular invariance in CFTs. In particular, we use this result to derive Cardy-like formulas for the high energy density of states of these theories.

hep-th↗

arXiv2023

Revisiting the electronic properties of dislocated graphene sheets

The interplay between topological defects, such as dislocations or disclinations, and the electronic degrees of freedom in graphene has been extensively studied. In the literature, for the study of this kind of problems, it is in general used either a gauge theory or a curved spatial Riemannian geometry approach, where, in the geometric case, the information about the defects is contained in the metric and the spin-connection. However, these topological defects can also be associated to a Riemann-Cartan geometry where curvature and torsion plays an important role. In this article we study the interplay between a wedge dislocations in a planar graphene sheet and the properties of its electronic degrees of freedom. Our approach relies in its relation with elasticity theory through the so called elastic-gauge, where their typical coefficients, as for example the Poisson's ratio, appear directly in the metric, and consequently also in the electronic spectrum.

cond-mat.str-el↗