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Finite temperature quantum field theory in the heat kernel method is used to study the heat capacity of condensed matter. The lattice heat is treated a la P. Debye as energy of the elastic (sound) waves. The dimensionless functional of free…

Statistical Mechanics · Physics 2019-04-10 Yuri V. Gusev

The field (geometrical) theory of specific heat is based on the universal thermal sum, a new mathematical tool derived from the evolution equation in the Euclidean four-dimensional spacetime, with the closed time coordinate. This theory…

Materials Science · Physics 2021-01-21 Yuri Vladimirovich Gusev

We investigate analytically the low temperature behavior of the specific heat $C_v(T)$ for a large class of quantum disordered models within Mean Field approximation. This includes the vibrational modes of a lattice pinned by impurity…

Disordered Systems and Neural Networks · Physics 2009-11-10 Gregory Schehr

The thermodynamic behavior of QCD matter at high temperature is currently studied by lattice QCD theory. The main features are the fast rise of the energy density $\epsilon$ around the critical temperature $T_c$ and the large trace anomaly…

High Energy Physics - Phenomenology · Physics 2015-05-27 Salvatore Plumari , Wanda M. Alberico , Vincenzo Greco , Claudia Ratti

An effective quasiparticle description of the thermodynamics of deconfined matter, compatible with both finite-temperature lattice data and the perturbative limit, is generalized to finite chemical potential. Within this approach, the…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Peshier , B. Kampfer , G. Soff

We construct a quantum mechanical model of perfectly isotropic amorphous solids as fuzzy crystals and establish an analytical theory of vibrations for glasses at low temperature. Our theoretical framework relies on the basic principle that…

Disordered Systems and Neural Networks · Physics 2021-05-21 T. Cardoso e Bufalo , R. Bufalo , A. Tureanu

We study $\phi^4$ lattice field theory at finite chemical potential $\mu$ in two and four dimensions, using a worldline representation that overcomes the complex action problem. We compute the particle number at very low temperature as a…

High Energy Physics - Lattice · Physics 2018-09-10 Oliver Orasch , Christof Gattringer , Mario Giuliani

Recent progress in the synthesis and processing of nano-structured materials and systems calls for an improved understanding of thermal properties on small length scales. In this context, the question whether thermodynamics and, in…

Materials Science · Physics 2007-05-23 M. Hartmann , G. Mahler , O. Hess

While the ability to measure low temperatures accurately in quantum systems is important in a wide range of experiments, the possibilities and the fundamental limits of quantum thermometry are not yet fully understood theoretically. Here we…

Quantum Physics · Physics 2019-07-10 Patrick P. Potts , Jonatan Bohr Brask , Nicolas Brunner

The low-temperature properties of glasses present important differences with respect to crystalline matter. In particular, models such as the Debye model of solids, which assume the existence of an underlying regular lattice, predict that…

Disordered Systems and Neural Networks · Physics 2023-01-03 Matteo Baggioli , Rico Milkus , Alessio Zaccone

Low-temperature specific-heat study has been performed on the insulating giant dielectric constant material CaCu3Ti4O12 and two related compounds, Bi2/3Cu3Ti4O12 and La0.5Na0.5Cu3Ti4O12, from 0.6 to 10 K. From analyzing the specific heat…

Materials Science · Physics 2009-11-13 C. P. Sun , Jianjun Liu , J. -Y. Lin , Chun-gang Duan , W. N. Mei , H. D. Yang

We present a novel mechanism for the anomalous behaviour of the specific heat in low-temperature amorphous solids. The analytic solution of a mean-field model belonging to the same universality class as high-dimensional glasses, the…

Disordered Systems and Neural Networks · Physics 2019-07-29 Silvio Franz , Thibaud Maimbourg , Giorgio Parisi , Antonello Scardicchio

The temperature dependence of most solid-state properties is dominated by lattice vibrations, but metals display notable purely electronic effects at low temperature, such as the linear specific heat and the linear entropy, that were…

Materials Science · Physics 2026-01-15 Xavier Gonze , Christian Tantardini , Antoine Levitt

The first-order confinement transition of a strongly coupled composite dark matter theory can provide a possible source of gravitational waves in the early universe. In this work, on behalf of the Lattice Strong Dynamics (LSD)…

High Energy Physics - Lattice · Physics 2025-02-04 Venkitesh Ayyar , Nobuyuki Matsumoto , Aaron S. Meyer , Sungwoo Park

Low-temperature properties of crystalline solids can be understood using harmonic perturbations around a perfect lattice, as in Debye's theory. Low-temperature properties of amorphous solids, however, strongly depart from such descriptions,…

Soft Condensed Matter · Physics 2016-07-29 Ludovic Berthier , Patrick Charbonneau , Yuliang Jin , Giorgio Parisi , Beatriz Seoane , Francesco Zamponi

A first-order, confinement/deconfinement phase transition appears in the finite temperature behavior of many non-Abelian gauge theories. These theories play an important role in proposals for completion of the Standard Model of particle…

High Energy Physics - Lattice · Physics 2026-04-10 Ed Bennett , Biagio Lucini , David Mason , Maurizio Piai , Enrico Rinaldi , Davide Vadacchino , Fabian Zierler

We investigate the properties of impenetrable bosons confined in a one-dimensional lattice at finite temperature in the presence of an additional incommensurate periodic potential. Relying on the exact Fermi-Bose mapping, we study the…

Quantum Gases · Physics 2011-12-14 Nicolas Nessi , Aníbal Iucci

QCD at finite temperature and density is becoming increasingly important for various experimental programmes, ranging from heavy ion physics to astro-particle physics. The non-perturbative nature of non-abelian quantum field theories at…

High Energy Physics - Lattice · Physics 2009-11-02 Owe Philipsen

In this work, we study the thermodynamic behavior of heavy-flavored meson matter in the framework of $(\sigma,\omega)$-meson-exchange model in relativistic mean field theory. We find a decreasing of the effective masses of $D$ and $B$…

High Energy Physics - Phenomenology · Physics 2012-12-06 L. M. Abreu , E. S. Nery , R. Rodrigues da Silva

There has been a surge of experimental effort recently in cooling trapped fermionic atoms to quantum degeneracy. By varying an external magnetic field, interactions between atoms can be made arbitrarily strong. When the S wave scattering…

High Energy Physics - Lattice · Physics 2009-11-10 Matthew Wingate
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