Universality in Condensed Matter and Statistical Mechanics

Energy correlations of non-integrable Ising models: The scaling limit in the cylinder

Author(s): Giovanni Antinucci, Alessandro Giuliani, Rafael L. Greenblatt
Published in: Communications in Mathematical Physics, Issue 397, 2023, Page(s) 393-483, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-022-04481-z

Conformal invariance and Renormalization Group

Author(s): Giuliani, Alessandro
Published in: Markov Processes And Related Fields, Issue 27(4), 2021, Page(s) 665-686, ISSN 1024-2953
Publisher: Polymat

Gentle introduction to rigorous Renormalization Group: a worked fermionic example

Author(s): Alessandro Giuliani, Vieri Mastropietro, Slava Rychkov
Published in: Journal of High Energy Physics, Issue 2021/1, 2021, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep01(2021)026

Hydrodynamic Limit for an Active Exclusion Process

Author(s): Clément ERIGNOUX
Published in: MÉMOIRES DE LA SMF, 2021
Publisher: Société Mathématique de France

Emergence of Time-Dependent Point Interactions in Polaron Models

Author(s): Raffaele Carlone, Michele Correggi, Marco Falconi, Marco Olivieri
Published in: SIAM Journal on Mathematical Analysis, Issue 53/4, 2021, Page(s) 4657-4691, ISSN 0036-1410
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/20m1381344

Semiclassical analysis of quantum asymptotic fields in the Yukawa theory

Author(s): Zied Ammari; Marco Falconi; Marco Olivieri
Published in: Journal of Differential Equations, Issue 357, 2023, Page(s) 236-274, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.1016/j.jde.2023.01.037

Středa formula for charge and spin currents

Author(s): Domenico Monaco, Massimo Moscolari
Published in: Reviews in Mathematical Physics, Issue 33/01, 2021, Page(s) 2060003, ISSN 0129-055X
Publisher: World Scientific Publishing Co
DOI: 10.1142/s0129055x2060003x

Non-integrable Ising Models in Cylindrical Geometry: Grassmann Representation and Infinite Volume Limit

Author(s): Giovanni Antinucci; Alessandro Giuliani; Rafael L. Greenblatt
Published in: Ann. Henri Poincaré, Issue 23, 2022, Page(s) 1061-1139, ISSN 1424-0637
Publisher: Birkhauser Verlag
DOI: 10.1007/s00023-021-01107-3

Bogoliubov dynamics and higher-order corrections for the regularized Nelson model

Author(s): Marco Falconi; Nikolai Leopold; David Mitrouskas; Sören Petrat
Published in: Rev. Math. Phys., Issue 33, 2023, Page(s) 2350006, ISSN 0129-055X
Publisher: World Scientific Publishing Co
DOI: 10.1142/s0129055x2350006x

The zeros of the partition function of the pinning model

Author(s): Giambattista Giacomin; Rafael L. Greenblatt
Published in: Mathematical Physics, Analysis and Geometry, Issue 25, 2022, Page(s) 16, ISSN 1572-9656
Publisher: Springer Nature B.V.
DOI: 10.1007/s11040-022-09428-3

The Dilute Fermi Gas via Bogoliubov Theory

Author(s): Marco Falconi, Emanuela L. Giacomelli, Christian Hainzl, Marcello Porta
Published in: Annales Henri Poincaré, Issue 22/7, 2021, Page(s) 2283-2353, ISSN 1424-0637
Publisher: Birkhauser Verlag
DOI: 10.1007/s00023-021-01031-6

Non-analyticity of the Correlation Length in Systems with Exponentially Decaying Interactions

Author(s): Yacine Aoun; Dmitry Ioffe; Sébastien Ott; Yvan Velenik
Published in: Communications in Mathematical Physics, Issue 386, 2021, Page(s) 433–467, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-021-04038-6

Quasi-Classical Dynamics

Author(s): M. Correggi, M. Falconi, M. Olivieri
Published in: Journal of the European Mathematical Society, Issue 25(2), 2023, Page(s) 731–783, ISSN 1435-9855
Publisher: European Mathematical Society Publishing House
DOI: 10.4171/jems/1197

Spin Hall conductivity in insulators with nonconserved spin

Author(s): Domenico Monaco, Lara Ulčakar
Published in: Physical Review B, Issue 102/12, 2020, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/physrevb.102.125138

Lyapunov exponent for products of random Ising transfer matrices: the balanced disorder case

Author(s): Giambattista Giacomin; Rafael L. Greenblatt
Published in: ALEA, Lat. Am. J. Probab. Math. Stat., Issue 19, 2022, Page(s) 701-728, ISSN 1980-0436
Publisher: Instituto Nacional de Matematica Pura e Aplicada
DOI: 10.30757/alea.v19-27

Universal Edge Transport in Interacting Hall Systems

Author(s): Giovanni Antinucci, Vieri Mastropietro, Marcello Porta
Published in: Communications in Mathematical Physics, Issue 362/1, 2018, Page(s) 295-359, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-018-3192-y

Spin Hall insulators beyond the helical Luttinger model

Author(s): Vieri Mastropietro, Marcello Porta
Published in: Physical Review B, Issue 96/24, 2017, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/PhysRevB.96.245135

Canonical Drude Weight for Non-integrable Quantum Spin Chains

Author(s): Vieri Mastropietro, Marcello Porta
Published in: Journal of Statistical Physics, Issue 172/2, 2018, Page(s) 379-397, ISSN 0022-4715
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-018-1994-0

Adiabatic currents for interacting fermions on a lattice

Author(s): Domenico Monaco, Stefan Teufel
Published in: Reviews in Mathematical Physics, Issue 31/03, 2019, Page(s) 1950009, ISSN 0129-055X
Publisher: World Scientific Publishing Co
DOI: 10.1142/s0129055x19500090

Non-integrable Dimers: Universal Fluctuations of Tilted Height Profiles

Author(s): Alessandro Giuliani, Vieri Mastropietro, Fabio Lucio Toninelli
Published in: Communications in Mathematical Physics, Issue 377/3, 2020, Page(s) 1883-1959, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-020-03760-x

Equilibrium fluctuations for the disordered harmonic chain perturbed by an energy conserving noise

Author(s): Clément Erignoux, Marielle Simon
Published in: Electronic Journal of Probability, Issue 24/0, 2019, ISSN 1083-6489
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/19-ejp399

Plate-Nematic Phase in Three Dimensions

Author(s): Margherita Disertori, Alessandro Giuliani, Ian Jauslin
Published in: Communications in Mathematical Physics, Issue 373/1, 2020, Page(s) 327-356, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-019-03543-z

Non-integrable dimer models: Universality and scaling relations

Author(s): Alessandro Giuliani, Fabio Lucio Toninelli
Published in: Journal of Mathematical Physics, Issue 60/10, 2019, Page(s) 103301, ISSN 0022-2488
Publisher: American Institute of Physics
DOI: 10.1063/1.5109618

Localised Wannier Functions in Metallic Systems

Author(s): Horia D. Cornean, David Gontier, Antoine Levitt, Domenico Monaco
Published in: Annales Henri Poincaré, Issue 20/4, 2019, Page(s) 1367-1391, ISSN 1424-0637
Publisher: Birkhauser Verlag
DOI: 10.1007/s00023-019-00767-6

Continuum Limit of Random Matrix Products in Statistical Mechanics of Disordered Systems

Author(s): Francis Comets, Giambattista Giacomin, Rafael L. Greenblatt
Published in: Communications in Mathematical Physics, Issue 369/1, 2019, Page(s) 171-219, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-019-03466-9

Parseval Frames of Exponentially Localized Magnetic Wannier Functions

Author(s): Horia D. Cornean, Domenico Monaco, Massimo Moscolari
Published in: Communications in Mathematical Physics, Issue 371/3, 2019, Page(s) 1179-1230, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-019-03542-0

Stefan problem for a nonergodic facilitated exclusion process

Author(s): Oriane Blondel, Clément Erignoux, Marielle Simon
Published in: Probability and Mathematical Physics, Issue 2/1, 2021, Page(s) 127-178, ISSN 2690-1005
Publisher: Mathematical Sciences Publishers
DOI: 10.2140/pmp.2021.2.127

Anomaly Non-renormalization in Interacting Weyl Semimetals

Author(s): Alessandro Giuliani, Vieri Mastropietro, Marcello Porta
Published in: Communications in Mathematical Physics, Issue 384/2, 2021, Page(s) 997-1060, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-021-04004-2

Beyond Diophantine Wannier diagrams: Gap labelling for Bloch–Landau Hamiltonians

Author(s): Horia Cornean, Domenico Monaco, Massimo Moscolari
Published in: Journal of the European Mathematical Society, Issue 23/11, 2021, Page(s) 3679-3705, ISSN 1435-9855
Publisher: European Mathematical Society Publishing House
DOI: 10.4171/jems/1079

Nematic first order phase transition for liquid crystals in the van der Waals–Kac limit

Author(s): Clément Erignoux, Alessandro Giuliani
Published in: Journal of Mathematical Physics, Issue 61/10, 2020, Page(s) 103306, ISSN 0022-2488
Publisher: American Institute of Physics
DOI: 10.1063/5.0007613

Hydrodynamics for SSEP with Non-reversible Slow Boundary Dynamics: Part I, the Critical Regime and Beyond

Author(s): C. Erignoux, P. Gonçalves, G. Nahum
Published in: Journal of Statistical Physics, Issue 181/4, 2020, Page(s) 1433-1469, ISSN 0022-4715
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-020-02633-w

Hydrodynamics for SSEP with non-reversibleslow boundary dynamics: Part II, below the criticalregime

Author(s): C. Erignoux, P. Gonçalves, G. Nahum
Published in: Latin American Journal of Probability and Mathematical Statistics, Issue 17/2, 2020, Page(s) 791, ISSN 1980-0436
Publisher: Instituto Nacional de Matematica Pura e Aplicada
DOI: 10.30757/alea.v17-31

Multi-Channel Luttinger Liquids at the Edge of Quantum Hall Systems

Author(s): Vieri Mastropietro, Marcello Porta
Published in: Communications in Mathematical Physics, Issue 395, 2022, Page(s) 1097–1173, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-022-04443-5

Discrete and zeta-regularized determinants of the Laplacian on polygonal domains with Dirichlet boundary conditions

Author(s): Greenblatt, Rafael Leon
Published in: Journal of Mathematical Physics, Issue 64, 2023, Page(s) 043301, ISSN 0022-2488
Publisher: American Institute of Physics
DOI: 10.1063/5.0062138

On the Casimir Effect with -Like Potentials, and a Recent Paper by K. Ziemian (Ann. Henri Poincaré, 2021)

Author(s): Davide Fermi; Livio Pizzocchero
Published in: Ann. Henri Poincaré, 2023, ISSN 1424-0637
Publisher: Birkhauser Verlag
DOI: 10.1007/s00023-022-01263-0

Quantization of the Interacting Hall Conductivity in the Critical Regime

Author(s): Alessandro Giuliani, Vieri Mastropietro, Marcello Porta
Published in: Journal of Statistical Physics, Issue 180/1-6, 2020, Page(s) 332-365, ISSN 0022-4715
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-019-02405-1

Quadratic forms for Aharonov-Bohm Hamiltonians

Author(s): Davide Fermi
Published in: 2022
Publisher: arXiv.org
DOI: 10.48550/arxiv.2208.06285

Ground State Properties in the Quasi-Classical Regime

Author(s): Michele Correggi, Marco Falconi, Marco Olivieri
Published in: arxiv.org, 2020
Publisher: arxiv.org

Ground state energy of dilute Bose gases in 1D

Author(s): Johannes Agerskov; Robin Reuvers; Jan Philip Solovej
Published in: 2022
Publisher: arXiv.org
DOI: 10.48550/arxiv.2203.17183

Upper bound for the ground state energy of a dilute Bose gas of hard spheres

Author(s): Giulia Basti, Serena Cenatiempo, Alessandro Giuliani, Alessandro Olgiati, Giulio Pasqualetti, Benjamin Schlein
Published in: 2022
Publisher: arXiv.org
DOI: 10.48550/arxiv.2212.04431

Weakly non-planar dimers

Author(s): Alessandro Giuliani; Bruno Renzi; Fabio L. Toninelli
Published in: 2022
Publisher: arXiv.org
DOI: 10.48550/arxiv.2207.10428

Low temperature asymptotic expansion for classical O(N) vector models

Author(s): Alessandro Giuliani; Sébastien Ott
Published in: 2023
Publisher: arXiv.org
DOI: 10.48550/arxiv.2302.07299

Scaling limits and universality of Ising and dimer models

Author(s): Alessandro Giuliani
Published in: arxiv.org, 2021
Publisher: arxiv.org

Towards a derivation of Classical ElectroDynamics of charges and fields from QED

Author(s): Zied Ammari; Marco Falconi; Fumio Hiroshima
Published in: 2022
Publisher: arXiv.org
DOI: 10.48550/arxiv.2202.05015

Periodic striped states in Ising models with dipolar interactions

Author(s): Davide Fermi; Alessandro Giuliani
Published in: The Physics and Mathematics of Elliott Lieb, Issue 1, 2022, Page(s) 269–293, ISBN 978-3-98547-021-1
Publisher: EMS Press
DOI: 10.4171/90-1/12

Mathematical Problems in Quantum Physics

Author(s): Federico Bonetto, David Borthwick, Evans Harrell, Michael Loss
Published in: Contemporary Mathematics, Issue 717, 2018, Page(s) 65-76, ISBN 9781-470449391
Publisher: American Mathematical Society
DOI: 10.1090/conm/717/14441

ORDER, DISORDER AND PHASE TRANSITIONS IN QUANTUM MANY BODY SYSTEMS

Author(s): Alessandro Giuliani
Published in: Istituto Lombardo - Accademia di Scienze e Lettere - Rendiconti di Scienze, Issue 150, 2020, ISSN 2384-986X
Publisher: pagepress
DOI: 10.4081/scie.2016.576

Long range order in atomistic models for solids

Author(s): Alessandro Giuliani, Florian Theil
Published in: Journal of the European Mathematical Society, Issue 24/10, 2019, Page(s) 3505–3555, ISSN 1435-9855
Publisher: European Mathematical Society Publishing House
DOI: 10.4171/jems/1169

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