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We employ scaling arguments and optimal fluctuation theory to establish a general relation between quantum Griffiths singularities and the Harris criterion for quantum phase transitions in disordered systems. If a clean critical point…

Disordered Systems and Neural Networks · Physics 2014-02-25 Thomas Vojta , José A. Hoyos

Quantum groups have a long and fruitful history of applications in integrable systems. Can quantum group symmetries exist in the absence of integrability? We provide an explicit example of a system with quantum group global symmetry which…

High Energy Physics - Theory · Physics 2026-01-27 Victor Gorbenko , Aleksandr Zhabin

We show that phase transitions in Ising systems with planar defects, i.e., disorder perfectly correlated in two dimensions are destroyed by smearing. This is caused by effects similar to but stronger than the Griffiths phenomena:…

Disordered Systems and Neural Networks · Physics 2009-11-10 Thomas Vojta

We investigate the low-energy properties of the orthogonal-dimer spin chain characterized by a frustrated dimer-plaquette structure. When the competing antiferromagnetic couplings are varied, the first-order quantum phase transition occurs…

Strongly Correlated Electrons · Physics 2009-10-31 Akihisa Koga , Kouichi Okunishi , Norio Kawakami

We observe signatures of disorder-induced order in 1D XY spin chains with an external, site-dependent uni-axial random field within the XY plane. We numerically investigate signatures of a quantum phase transition at T=0, in particular an…

The low-energy limits of models with disorder are frequently described by sigma models. In two dimensions, most sigma models admit either a Wess-Zumino-Witten or a theta term. When such a term is present the model can have a stable critical…

Superconductivity · Physics 2009-10-31 Paul Fendley , Robert M. Konik

We examine a novel type of disorder in quantum antiferromagnets. Our model consists of localized spins with antiferromagnetic exchanges on a bipartite quasiperiodic structure, which is geometrically disordered in such a way that no…

Strongly Correlated Electrons · Physics 2015-05-13 Attila Szallas , Anuradha Jagannathan , Stefan Wessel

It is well known that translational symmetry-breaking disorder will disrupt ARPES spectra up to the point where they become invisible. However, a theoretical framework to capture this phenomenon has been largely missing. Here, based on a…

Strongly Correlated Electrons · Physics 2022-03-28 Piotr Chudzinski , Lenart Dudy

A tipping point can be defined as an abrupt shift in the properties or behaviour of a system. Tipping points in complex systems from a wide variety of scientific disciplines have been compared to phase transitions in physics, but consistent…

Physics and Society · Physics 2023-02-28 Marieke M. Glazenburg , Luca Consoli , Alix McCollam

One-dimensional gapped spin chains with symmetry PSU(N) = SU(N)/Z_N are known to possess N different topological phases. In this paper, we introduce a non-local string order parameter which characterizes each of these N phases…

Strongly Correlated Electrons · Physics 2013-04-10 Kasper Duivenvoorden , Thomas Quella

We perform calculations relating the order parameter symmetry of organic quasi-one-dimensional superconductors to the bulk quasiparticle density of states and the bulk uniform spin susceptibility tensor at finite temperatures. Current…

Superconductivity · Physics 2009-11-07 R. D. Duncan , R. W. Cherng , C. A. R. Sa de Melo

We prove sufficient conditions for Topological Quantum Order at both zero and finite temperatures. The crux of the proof hinges on the existence of low-dimensional Gauge-Like Symmetries (that notably extend and differ from standard local…

Strongly Correlated Electrons · Physics 2014-10-24 Zohar Nussinov , Gerardo Ortiz

Using analytic and numerical methods, we study a $2d$ Hamiltonian model of interacting particles carrying ferro-magnetically coupled continuous spins which are also locally coupled to their own velocities. This model has been characterised…

Statistical Mechanics · Physics 2020-05-14 Mathias Casiulis , Marco Tarzia , Leticia F. Cugliandolo , Olivier Dauchot

We give a heuristic argument for disorder rounding of a first order quantum phase transition into a continuous phase transition. From both weak and strong disorder analysis of the the N-color quantum Ashkin-Teller model in one spatial…

Disordered Systems and Neural Networks · Physics 2008-01-08 Pallab Goswami , David Schwab , Sudip Chakravarty

Impurities, defects, and other types of imperfections are ubiquitous in realistic quantum many-body systems and essentially unavoidable in solid state materials. Often, such random disorder is viewed purely negatively as it is believed to…

Strongly Correlated Electrons · Physics 2019-03-21 Thomas Vojta

Disorder is everywhere in nature and it has a fundamental impact on the behavior of many quantum systems. The presence of a small amount of disorder, in fact, can dramatically change the coherence and transport properties of a system.…

Disordered Systems and Neural Networks · Physics 2022-06-23 Chiara D'Errico , Marco G. Tarallo

Molecular simulations as well as single molecule experiments have been widely analyzed in terms order parameters, the latter representing candidate probes for the relevant degrees of freedom. Notwithstanding this approach is very intuitive,…

Chemical Physics · Physics 2015-06-11 Ganna Berezovska , Diego Prada-Gracia , Stefano Mostarda , Francesco Rao

Non-magnetic impurities are known as strong pair breakers in superconductors with pure d-wave pairing symmetry. Here we discuss d-wave states under the combined influence of impurities and competing instabilities, such as pairing in a…

Superconductivity · Physics 2009-11-10 Serge Florens , Matthias Vojta

We quantitatively discuss the influence of quenched disorder on the ferromagnetic quantum phase transition in metals, using a theory that describes the coupling of the magnetization to gapless fermionic excitations. In clean systems, the…

Strongly Correlated Electrons · Physics 2015-03-16 Y. Sang , D. Belitz , T. R. Kirkpatrick

We consider the ground state of a one-dimensional critical quantum system carrying a global symmetry in the bulk, which is explicitly broken by its boundary conditions. We probe the system via a string-order parameter, showing how it…

High Energy Physics - Theory · Physics 2023-05-24 Riccarda Bonsignori , Luca Capizzi , Pantelis Panopoulos
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