Explore the words cloud of the UniCoSM project. It provides you a very rough idea of what is the project "UniCoSM" about.
The following table provides information about the project.
Coordinator |
UNIVERSITA DEGLI STUDI ROMA TRE
Organization address contact info |
Coordinator Country | Italy [IT] |
Total cost | 1˙235˙875 € |
EC max contribution | 1˙235˙875 € (100%) |
Programme |
1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC)) |
Code Call | ERC-2016-COG |
Funding Scheme | ERC-COG |
Starting year | 2017 |
Duration (year-month-day) | from 2017-03-01 to 2022-02-28 |
Take a look of project's partnership.
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1 | UNIVERSITA DEGLI STUDI ROMA TRE | IT (ROMA) | coordinator | 1˙235˙875.00 |
Universality is a central concept in several branches of mathematics and physics. In the broad context of statistical mechanics and condensed matter, it refers to the independence of certain key observables from the microscopic details of the system. Remarkable examples of this phenomenon are: the universality of the scaling theory at a second order phase transition, at a quantum critical point, or in a phase with broken continuous symmetry; the quantization of the conductivity in interacting or disordered quantum many-body systems; the equivalence between bulk and edge transport coefficients. Notwithstanding the striking evidence for the validity of the universality hypothesis in these and many other settings, a fundamental understanding of these phenomena is still lacking, particularly in the case of interacting systems.
This project will investigate several key problems, representative of different instances of universality. It will develop along three inter-connected research lines: scaling limits in Ising and dimer models, quantum transport in interacting Fermi systems, continuous symmetry breaking in spin systems and in models for pattern formation or nematic order. Progresses on these problems will come from an effective combination of the complementary techniques that are currently used in the mathematical theory of universality, such as: constructive renormalization group, reflection positivity, functional inequalities, discrete harmonic analysis, rigidity estimates. We will pay particular attention to the study of some poorly understood aspects of the theory, such as the role of boundary corrections, the loss of translational invariance in multiscale analysis, and the phenomenon of continuous non-abelian symmetry breaking. The final goal of the project is the development of new tools for the mathematical analysis of strongly interacting systems. Its impact will be an improved fundamental understanding of universality phenomena in condensed matter.
year | authors and title | journal | last update |
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2019 |
Domenico Monaco, Stefan Teufel Adiabatic currents for interacting fermions on a lattice published pages: 1950009, ISSN: 0129-055X, DOI: 10.1142/s0129055x19500090 |
Reviews in Mathematical Physics 31/03 | 2019-11-07 |
2019 |
Horia D. Cornean, Domenico Monaco, Massimo Moscolari Parseval Frames of Exponentially Localized Magnetic Wannier Functions published pages: , ISSN: 0010-3616, DOI: 10.1007/s00220-019-03542-0 |
Communications in Mathematical Physics | 2019-11-07 |
2019 |
Giuliani, Alessandro; Mastropietro, Vieri; Porta, Marcello Quantization of the interacting Hall conductivity in the critical regime published pages: , ISSN: , DOI: |
Journal of Statistical Physics (to appear) | 2019-11-07 |
2019 |
Disertori, Margherita; Giuliani, Alessandro; Jauslin, Ian Plate-nematic phase in three dimensions published pages: , ISSN: , DOI: |
Communications in Mathematical Physics (to appear) | 2019-11-07 |
2019 |
Erignoux, Clément; Simon, Marielle Equilibrium fluctuations for the disordered harmonic chain perturbed by an energy conserving noise published pages: , ISSN: , DOI: |
hal.archives-ouvertes.fr | 2019-11-07 |
2019 |
Alessandro Giuliani, Vieri Mastropietro, Fabio Toninelli Non-integrable dimers: Universal fluctuations of tilted height profiles published pages: , ISSN: , DOI: |
arXiv.org | 2019-11-07 |
2019 |
Horia D. Cornean, David Gontier, Antoine Levitt, Domenico Monaco Localised Wannier Functions in Metallic Systems published pages: 1367-1391, ISSN: 1424-0637, DOI: 10.1007/s00023-019-00767-6 |
Annales Henri Poincaré 20/4 | 2019-11-07 |
2019 |
Alessandro Giuliani, Fabio Lucio Toninelli Non-integrable dimer models: Universality and scaling relations published pages: 103301, ISSN: 0022-2488, DOI: 10.1063/1.5109618 |
Journal of Mathematical Physics 60/10 | 2019-11-07 |
2019 |
Francis Comets, Giambattista Giacomin, Rafael L. Greenblatt Continuum Limit of Random Matrix Products in Statistical Mechanics of Disordered Systems published pages: 171-219, ISSN: 0010-3616, DOI: 10.1007/s00220-019-03466-9 |
Communications in Mathematical Physics 369/1 | 2019-11-07 |
2019 |
Giuliani, A.; Mastropietro, V.; Porta, M. Anomaly non-renormalization in interacting Weyl semimetals published pages: , ISSN: , DOI: |
arXiv.org | 2019-11-07 |
2019 |
Giuliani, Alessandro; Theil, Florian Long range order in atomistic models for solids published pages: , ISSN: , DOI: |
arXiv.org | 2019-11-07 |
2017 |
Giuliani, Alessandro Order, disorder and phase transitions in quantum many body systems published pages: , ISSN: , DOI: |
arXiv.org | 2019-11-07 |
2018 |
Giovanni Antinucci, Vieri Mastropietro, Marcello Porta Universal Edge Transport in Interacting Hall Systems published pages: 295-359, ISSN: 0010-3616, DOI: 10.1007/s00220-018-3192-y |
Communications in Mathematical Physics 362/1 | 2019-07-18 |
2017 |
Vieri Mastropietro, Marcello Porta Spin Hall insulators beyond the helical Luttinger model published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.96.245135 |
Physical Review B 96/24 | 2019-07-18 |
2018 |
Vieri Mastropietro, Marcello Porta Canonical Drude Weight for Non-integrable Quantum Spin Chains published pages: 379-397, ISSN: 0022-4715, DOI: 10.1007/s10955-018-1994-0 |
Journal of Statistical Physics 172/2 | 2019-07-18 |
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