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Strong, long-range interactions present a unique challenge for the theoretical investigation of quantum many-body lattice models, due to the generation of large numbers of competing states at low energy. Here, we investigate a class of…

We study the layered $J_1$-$J_2$ classical Heisenberg model on the square lattice using a self-consistent bond theory. We derive the phase diagram for fixed $J_1$ as a function of temperature $T$, $J_2$ and interplane coupling $J_z$. Broad…

Strongly Correlated Electrons · Physics 2019-05-15 Olav F. Syljuåsen , Jens Paaske , Michael Schecter

The scattering phase-shifts are invariant under unitary transformations of the Hamiltonian. However, the numerical solution of the scattering problem that requires to discretize the continuum violates this phase-shift invariance among…

Nuclear Theory · Physics 2020-02-12 María Gómez-Rocha , Enrique Ruiz Arriola

We study theoretically the formation of long-wavelength instability patterns observed at spreading of nematic droplets on liquid substrates. The role of surface-like elastic terms such as saddle-splay and anchoring in nematic films of…

Soft Condensed Matter · Physics 2013-03-04 O. V. Manyuhina , M. Ben Amar

We demonstrate how to construct dynamic phase diagrams for complex fluids that undergo transitions under flow, in which the conserved composition variable and the broken-symmetry order parameter (nematic, smectic, crystalline, etc.) are…

Soft Condensed Matter · Physics 2009-10-30 Peter D. Olmsted , C. -Y. D. Lu

We analyze a model problem based on highly disparate elastic constants that we propose in order to understand corners and cusps that form on the boundary between the nematic and isotropic phases in a liquid crystal. For a bounded planar…

Analysis of PDEs · Mathematics 2018-12-03 Dmitry Golovaty , Michael Novack , Peter Sternberg , Raghavendra Venkatraman

We have calculated the phase diagrams of one--component fluids made of five types of biaxial particles differing in their cross sections. The orientation of the principal particle axis is fixed in space, while the second axis is allowed to…

Soft Condensed Matter · Physics 2009-11-13 Yuri Martinez-Raton , Szabolcs Varga , Enrique Velasco

The origin of nematicity, i.e., in-plane rotational symmetry breaking, and in particular the relative role played by spontaneous unidirectional ordering of spin, orbital, or charge degrees of freedom, is a challenging issue of magnetism,…

We develop a rigorous, field-theoretical approach to the study of spontaneous emission in inertial and dissipative nematic liquid crystals, disclosing an alternative application of the massive Stueckelberg gauge theory to describe critical…

Mesoscale and Nanoscale Physics · Physics 2021-07-06 J. H. Nascimento , F. A. Pinheiro , M. B. Silva Neto

The anchoring of nematic liquid crystals on surfaces with grafted liquid crystalline chain molecules is studied by computer simulations and within a mean field approach. The computer simulations show that a swollen layer of collectively…

Materials Science · Physics 2009-11-07 Harald Lange , Friederike Schmid

A phase-separation front will leave in its wake a phase-separated morphology that differs markedly from homogeneous phase-separation morphologies. For a purely diffusive system such a front, moving with constant velocity, will generate very…

Soft Condensed Matter · Physics 2013-05-30 E. M. Foard , A. J. Wagner

We present a theory of the anisotropy tuned quantum phase transition between spin nematic and spin-Peierls phases in S=1 systems with significant bi-quadratic exchange interactions. Based on quantum Monte Carlo studies on finite size…

Strongly Correlated Electrons · Physics 2009-11-13 Christoph M. Puetter , Michael J. Lawler , Hae-Young Kee

Motivated by recent experimental processes, we systemically investigate strongly correlated spin-1 ultracold bosons trapped in a three-dimensional optical lattice in the presence of an external magnetic field. Based on a recently developed…

Quantum Gases · Physics 2018-08-31 Xiaolei Zan , Jing Liu , Jianhua Wu , Yongqiang Li

A nematic liquid crystal in contact with a grating surface possessing an alternating stripe pattern of locally homeotropic and planar anchoring is studied within the Frank--Oseen model. The combination of both chemical and geometrical…

Soft Condensed Matter · Physics 2009-11-11 L. Harnau , S. Kondrat , A. Poniewierski

Strongly interacting systems are known to often spontaneously develop exotic ground states under certain conditions. For instance, spin nematic phases have been discovered in various magnetic models. Such phases, which break spin symmetry…

Strongly Correlated Electrons · Physics 2007-05-23 S. Capponi , F. F. Assaad

The Langevin dynamics of a system exhibiting a Fluctuation Induced First Order Phase Transition is solved within the self consistent Hartree Approximation. Competition between interactions at short and long length scales gives rise to…

Soft Condensed Matter · Physics 2013-05-29 Roberto Mulet , Daniel Stariolo

We numerically solve the active nematohydrodynamic equations of motion, coupled to a Turing reaction-diffusion model, to study the effect of active nematic flow on the stripe patterns resulting from a Turing instability. If the activity is…

Soft Condensed Matter · Physics 2021-11-04 Saraswat Bhattacharyya , Julia M. Yeomans

We present a new theoretical approach for the study of the phase diagram of interacting quantum particles: bosons, fermions or spins. In the neighborhood of a phase transition, the expected renormalization group structure is recovered both…

Strongly Correlated Electrons · Physics 2009-10-31 Pietro Gianinetti , Alberto Parola

We calculate the interaction between two spherical colloidal particles embedded in the isotropic phase of a nematogenic liquid. The surface of the particles induces wetting nematic coronas that mediate an elastic interaction. In the weak…

Soft Condensed Matter · Physics 2009-11-07 P. Galatola , J. -B. Fournier

We investigate the physical properties of steady flows in a holographic first-order phase transition model, extending from the thermodynamics at equilibrium to the real-time dynamics far from equilibrium. Through spinodal decomposition or…

High Energy Physics - Theory · Physics 2025-01-24 Qian Chen , Yuxuan Liu , Yu Tian , Xiaoning Wu , Hongbao Zhang