Thermal Hofstadter Butterflies
Natalia Cort\'es, Bastian Castorene, Francisco J. Pe\~na, Damian Melo, Sergio E. Ulloa, and Patricio Vargas

TL;DR
This paper explores the thermodynamic properties of Hofstadter butterflies in various 2D lattices, revealing fractal patterns and magneto-thermal effects that could enable new spectroscopic techniques.
Contribution
It provides the first detailed analysis of entropy and specific heat in fractal electronic spectra, uncovering self-similar thermodynamic signatures linked to the Hofstadter butterfly.
Findings
Identification of self-similar entropy and specific heat patterns.
Observation of magneto-thermo oscillations and magnetocaloric effects.
Entropy minima as fingerprints of fractal spectra.
Abstract
Fractal electronic spectra arising from the competition between lattice periodicity and magnetic flux are a fundamental hallmark of two-dimensional quantum systems. While the spectral properties of Hofstadter butterflies are well documented, their thermodynamic response has remained remarkably unexplored. We present an original characterization of the electronic entropy , and specific heat , at half-filling, for square, honeycomb, and triangular lattices under a magnetic field. We demonstrate that these observables exhibit fast and slow magneto-thermo oscillations and pronounced magnetocaloric effects. We identify striking self-similarity in and , tracing heart-shaped specific heat and tunnel-like entropy contours that repeat at specific lattice-dependent magnetic fluxes. Entropy minima at low temperatures play a remarkable role, acting as fingerprints for the…
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Taxonomy
TopicsAdvanced Condensed Matter Physics · Theoretical and Computational Physics · Quantum many-body systems
