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We extend the recently introduced strong disorder renormalization group method in real space, well suited to study bond disordered antiferromagnetic power law coupled quantum spin chains, to study excited states, and finite temperature…

Disordered Systems and Neural Networks · Physics 2026-04-23 Stefan Kettemann

We obtain a representation of the free energy of an XY model on a fully connected graph with spins subjected to a random crystal field of strength $D$ and with random orientation $\alpha$. Results are obtained for an arbitrary probability…

Statistical Mechanics · Physics 2022-02-14 Sumedha , M. Barma

The equilibrium behavior of vortices in the classical two-dimensional (2D) XY model with uncorrelated random phase shifts is investigated. The model describes Josephson-Junction arrays with positional disorder, and has ramifications in a…

Condensed Matter · Physics 2009-10-28 Lei-Han Tang

We show, that the 2D XY-model with random phase shifts exhibits for low temperature and small disorder a phase with quasi-long-range order, and that the transition to the disordered phase is {\it not} reentrant. These results are obtained…

Condensed Matter · Physics 2016-08-31 Thomas NATTERMANN , Stefan SCHEIDL , Sergey E. KORSHUNOV , Mai Suan LI

Effective theories for random critical points are usually non-unitary, and thus may contain relevant operators with negative scaling dimensions. To study the consequences of the existence of negative dimensional operators, we consider the…

Disordered Systems and Neural Networks · Physics 2009-10-30 Christopher Mudry , Xiao-Gang Wen

We study the two dimensional XY model with quenched random phases and its Coulomb gas formulation. A novel renormalization group (RG) method is developed which allows to study perturbatively the glassy low temperature XY phase and the…

Disordered Systems and Neural Networks · Physics 2009-10-31 David Carpentier , Pierre Le Doussal

We carry out extensive Monte Carlo simulations of the three-dimensional (3D) uniformly frustrated XY model with uncorrelated randomly perturbed couplings, as a model for the equilibrium behavior of an extreme type-II superconductor with…

Superconductivity · Physics 2009-06-05 Peter Olsson , S. Teitel

Dynamics of vortices in strongly type-II superconductors with strong disorder is investigated within the frustrated three-dimensional XY model. For two typical models in [Phys. Rev. Lett. {\bf 91}, 077002 (2003)] and [Phys. Rev. B {\bf 68},…

Superconductivity · Physics 2009-11-13 Qing-Hu Chen

The two-dimensional dissipative quantum XY model is applicable to the quantum-critical properties of diverse experimental systems, ranging from the superconductor to insulator transitions, ferromagnetic and antiferromagnetic transitions in…

Strongly Correlated Electrons · Physics 2016-11-09 Changtao Hou , Chandra M. Varma

In trapped-ion quantum simulators, effective spin-1/2 XY interactions can be engineered via laser-induced coupling between internal atomic states and collective phonon modes. In the simplest one-dimensional ($1d$) traps, these interactions…

Using recent insights obtained in heavy fermion physics on the thermodynamic singularity structure associated with quantum phase transitions, we present here an experimental strategy to establish if the zero-temperature transition in the…

Strongly Correlated Electrons · Physics 2007-05-23 B. Hosseinkhani , J. Zaanen

We investigate the combined influence of quenched randomness and dissipation on a quantum critical point with O(N) order-parameter symmetry. Utilizing a strong-disorder renormalization group, we determine the critical behavior in one space…

Strongly Correlated Electrons · Physics 2011-02-18 Thomas Vojta , J. A. Hoyos , Priyanka Mohan , Rajesh Narayanan

Quantum critical behaviors induced by a putative quantum phase transition are vigilantly investigated, which separates a $d$-wave superconducting state and $d$-wave superconducting+$X$ state below the superconducting dome of the $d-$wave…

Superconductivity · Physics 2022-05-03 Xiao-Yue Ren , Ya-Hui Zhai , Jing Wang

We report on the finite temperature staggered spin susceptibility $\chi(Q)$ as a function of the mode-mode coupling constant $y_1$ in the self-consistent renormalization theory of two-dimensional antiferromagnetic spin fluctuations with…

Strongly Correlated Electrons · Physics 2026-05-20 Y. Itoh

The effect of quenched disorder on non-equilibrium phase transitions in the directed percolation universality class is studied by a strong disorder renormalization group approach and by density matrix renormalization group calculations. We…

Statistical Mechanics · Physics 2009-11-07 Jef Hooyberghs , Ferenc Igloi , Carlo Vanderzande

Rate-effects in sheared disordered solids are studied using molecular dynamics simulations of binary Lennard-Jones glasses in two and three dimensions. In the quasistatic (QS) regime, systems exhibit critical behavior: the magnitudes of…

Soft Condensed Matter · Physics 2021-04-21 Joel T. Clemmer , K. Michael Salerno , Mark O. Robbins

We present a controlled rare-weak-link theory of the superfluid-to-Bose/Mott glass transition in one-dimensional disordered systems. The transition has Kosterlitz-Thouless critical properties but may occur at an arbitrary large value of the…

Statistical Mechanics · Physics 2015-06-17 Lode Pollet , Nikolay V. Prokof'ev , Boris V. Svistunov

We present an analytic approach to study concurrent influence of quenched non-magnetic site-dilution and finiteness of the lattice on the 2D XY model. Two significant deeply connected features of this spin model are: a special type of…

Statistical Mechanics · Physics 2010-07-06 Oleksandr Kapikranian , Bertrand Berche , Yurij Holovatch

Superconductors with low superfluid density can be described by XY models. In such models the scale of the transition temperature T_c is largely set by the zero temperature phase stiffness (helicity modulus), a long-wavelength property of…

Superconductivity · Physics 2007-05-23 Y. L. Loh , E. W. Carlson

We perform Monte Carlo simulations to study the two dimensional random-bond XY model on a square lattice. Two kinds of bond randomness with the coupling coefficient obeying the Gaussian or uniform distribution are discussed. It is shown…

Statistical Mechanics · Physics 2022-03-23 Yi-Bo Deng , Qiang Gu