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We use an optimised hopping parameter expansion for the free energy (linear delta expansion) to study the phase transitions at finite temperature and finite charge density in a global U(1) scalar Higgs sector on the lattice at large lattice…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. S. Evans , H. F. Jones , D. Winder

The charge dynamical response function of the Hubbard model is investigated on the square lattice in the thermodynamical limit. The obtained charge excitation spectra consist of a continuum, a gapless collective mode with anisotropic…

Strongly Correlated Electrons · Physics 2017-04-21 Vu Hung Dao , Raymond Frésard

We present a variational approach for directed polymers in $D$ transversal dimensions which is used to compute the corrections to the mean field theory predictions with broken replica symmetry. The trial function is taken to be a…

Disordered Systems and Neural Networks · Physics 2007-05-23 Giorgio Parisi , Frantisek Slanina

We consider the finite-temperature phase diagram of the $S = 1/2$ frustrated Heisenberg bilayer. Although this two-dimensional system may show magnetic order only at zero temperature, we demonstrate the presence of a line of…

Strongly Correlated Electrons · Physics 2018-09-20 Jonas Stapmanns , Philippe Corboz , Frederic Mila , Andreas Honecker , Bruce Normand , Stefan Wessel

We study the ground-state phase diagram of the spin-$1/2$ Kitaev-Heisenberg model on the bilayer honeycomb lattice with large-scale tensor network calculations based on the infinite projected entangled pair state technique as well as…

Strongly Correlated Electrons · Physics 2024-12-24 Elahe Samimi , Antonia Duft , Patrick Adelhardt , Kai Phillip Schmidt , Saeed S. Jahromi

The quantum phase transition, scaling behaviors, and thermodynamics in the spin-1/2 quantum Heisenberg model with antiferromagnetic coupling $J>0$ in armchair direction and ferromagnetic interaction $J'<0$ in zigzag direction on a honeycomb…

Strongly Correlated Electrons · Physics 2016-06-08 Yi-Zhen Huang , Bin Xi , Xi Chen , Wei Li , Zheng-Chuan Wang , Gang Su

We construct Heisenberg anti-ferromagnetic models in arbitrary dimensions that have isotropic valence bond crystals (VBC) as their exact ground states. The d=2 model is the Shastry-Sutherland model. In the 3-d case we show that it is…

Strongly Correlated Electrons · Physics 2009-11-07 Naveen Surendran , R. Shankar

We employ the stochastic series expansion quantum Monte Carlo (SSE-QMC) method to investigate the $S = 1/2$ antiferromagnetic Heisenberg model on a bilayer square lattice with diluted interlayer couplings. Both regular and random dilution…

Strongly Correlated Electrons · Physics 2025-09-05 Kunpeng Li , Han-Qing Wu , Dao-Xin Yao

In this paper we deal with the macroscopic electromagnetic response of a finite size dispersive dielectric object, in unbounded space, in the framework of quantum electrodynamics using the Heisenberg picture. We apply a Hopfield type scheme…

Quantum Physics · Physics 2022-09-14 Carlo Forestiere , Giovanni Miano

We revisit a two-dimensional model of liquid crystals introduced by Heilmann and Lieb (1979), which consists of a system of dimers on the square lattice at chemical potential $\lambda$, interacting via a hard-core repulsion and an…

Mathematical Physics · Physics 2025-12-19 Qidong He

We propose a scheme for the detection of quantum phase transitions in the 1D Bose-Hubbard (BH) and 1D Extended Bose-Hubbard (EBH) models, using the non-demolition measurement technique of quantum polarization spectroscopy. We use collective…

Quantum Gases · Physics 2014-11-12 B. Rogers , M. Paternostro , J. F. Sherson , G. De Chiara

We microscopically analyze the nearest neighbor Heisenberg model on the maple-leaf lattice through neural quantum states (NQS) and infinite density matrix renormalization group (iDMRG). Embarking to parameter regimes beyond the exact dimer…

Strongly Correlated Electrons · Physics 2024-11-12 Jonas Beck , Jonathan Bodky , Johannes Motruk , Tobias Müller , Ronny Thomale , Pratyay Ghosh

The spin$-1/2$ Heisenberg antiferromagnet on the honeycomb bilayer lattice is shown to display a rich variety of semiclassical and genuinely quantum phases, controlled by the interplay between intralayer frustration and interlayer exchange.…

Strongly Correlated Electrons · Physics 2018-06-20 H. Zhang , C. A. Lamas , M. Arlego , Wolfram Brenig

We consider the dimerized spin-1/2 Heisenberg chain with spin hexameric distortion of the exchange pattern and study the zero-temperature phase diagram in the parameter space $(J_{1}, J_{2}, J_{3})$ by continuum-limit bosonization approach…

Strongly Correlated Electrons · Physics 2014-05-06 Mahboobeh Shahri Naseri , George I. Japaridze , Saeed Mahdavifar , Saber Farjami Shayesteh

We investigate two-dimensional frustrated Heisenberg magnets using non-perturbative renormalization group techniques. These magnets allow for point-like topological defects which are believed to unbind and drive either a crossover or a…

Statistical Mechanics · Physics 2014-11-27 N. Hasselmann , A. Sinner

A systematic study has been made on the metal-insulator (MI) transition of the doubly degenerate Hubbard model (DHM) in the paramagnetic ground state, by using the slave-boson mean-field theory which is equivalent to the Gutzwiller…

Strongly Correlated Electrons · Physics 2009-10-30 Hideo Hasegawa

We study the anisotropic quantum Heisenberg antiferromagnet for spin-1/2 that interpolates smoothly between the one-dimensional (1D) and the two-dimensional (2D) limits. Using the spin Hartree-Fock approach we construct a quantitative…

Strongly Correlated Electrons · Physics 2019-11-22 R. Smit , P. Kopietz , O. Tsyplyatyev

We investigate the quantum phase transition in an $S = 1/2$ dimerized Heisenberg antiferromagnet in three spatial dimensions. By performing large-scale quantum Monte Carlo simulations and detailed finite-size scaling analyses, we obtain…

Strongly Correlated Electrons · Physics 2015-12-07 Yan Qi Qin , Bruce Normand , Anders W. Sandvik , Zi Yang Meng

By the concurrent use of two different resummation methods, the composite operator formalism and the Dyson-Schwinger equation, we re-examinate the behavior at finite temperature of the O(N)-symmetric $\lambda\phi^{4}$ model in a generic…

High Energy Physics - Theory · Physics 2009-10-31 G. N. J. Añaños , A. P. C. Malbouisson , N. F. Svaiter

We develop a method to study the structure of the common part of the boundaries of disjoint and possibly non-complementary time-varying domains in $\mathbb{R}^{n+1}$, $n \geq 2$, at the points of mutual absolute continuity of their…

Analysis of PDEs · Mathematics 2021-04-14 Mihalis Mourgoglou , Carmelo Puliatti