The triangular lattice of $S=1/2$ spins with $XXZ$ anisotropy is a ubiquitous model for various frustrated systems in different contexts. We determine the quantum phase diagram plane parameter and magnetic field by means large-size cluster mean-field method scaling scheme. find that fluctuations break up nontrivial continuous degeneracy into two first-order transitions. In between transition boundaries, degeneracy-lifting results emergence new coplanar not predicted classical counterpart...

We make a detailed study of the moduli space winding number two (k=2) axially symmetric vortices (or equivalently, co-axial composite fundamental vortices), occurring in U(2) gauge theory with flavors Higgs phase, recently discussed by Hashimoto-Tong (hep-th/0506022) and Auzzi-Shifman-Yung (hep-th/0511150). find that it is weighted projective WCP^2_(2,1,1)=CP^2/Z_2. This manifold contains an A_1-type (Z_2) orbifold singularity even though full including relative position smooth. The SU(2)...

We study Bogomol'nyi-Prasad-Sommerfield (BPS) non-Abelian semilocal vortices in $U({N}_{\mathrm{C}})$ gauge theory with ${N}_{\mathrm{F}}$ flavors, ${N}_{\mathrm{F}}>{N}_{\mathrm{C}}$, the Higgs phase. The moduli space for an arbitrary winding number is described using matrix formalism. find a relation between spaces of Seiberg-like dual pairs theories, and $U({N}_{\mathrm{F}}\ensuremath{-}{N}_{\mathrm{C}})$. They are two alternative regularizations parent non-Hausdorff space, which tend to...

We show that local and semilocal strings in Abelian non-Abelian gauge theories with critical couplings always reconnect classically collision, by using moduli space approximation. The matrix formalism explicitly identifies a well-defined set of the vortex parameters. Our analysis generic geodesic motion terms those shows right-angle scattering head-on collision two vortices, which is known to give reconnection strings.

Magnetization processes of spin-1/2 layered triangular-lattice antiferromagnets (TLAFs) under a magnetic field H are studied by means numerical cluster mean-field method with scaling scheme. We find that small antiferromagnetic couplings between the layers give rise to several types extra quantum phase transitions among different high-field coplanar phases. Especially, field-induced first-order transition is found occur at H\approx 0.7 H_s, where H_s saturation field, as another common...

We study the quantum and thermal phase transition phenomena of SU(3) Heisenberg model on triangular lattice in presence magnetic fields. Performing a scaling analysis large-size cluster mean-field calculations endowed with density-matrix renormalization-group solver, we reveal phases selected by fluctuations from massively degenerate classical ground-state manifold. The magnetization process up to saturation reflects three different phases. low- high-field have strong nematic nature,...

We study the one-body reduced density matrix of a system N one-dimensional impenetrable anyons trapped by harmonic potential.To this purpose we extend two methods developed to tackle related problems, namely determinant approach and replica method.While former is basis for exact numerical computations at finite , latter has advantage providing an analytic asymptotic expansion large .We show that first few terms such are sufficient reproduce results excellent accuracy even relatively small...

Quantum magnetic phases near the saturation of triangular-lattice antiferromagnets with XXZ anisotropy have been attracting renewed interest since it has suggested that a nontrivial coplanar phase, called $\pi$-coplanar or $\Psi$ could be stabilized by quantum effects in certain range parameter $J/J_z$ besides well-known 0-coplanar (known also as $V$) and umbrella phases. Recently, Sellmann $et$ $al$. [Phys. Rev. B {\bf 91}, 081104(R) (2015)] claimed phase is absent for $S=1/2$ from an...

We study the spin 1/2 triangular-lattice ${J}_{1}$-${J}_{2}$-${J}_{3}$ antiferromagnet close to saturation field using dilute Bose gas theory, where magnetic structure is determined by condensation of magnons. focus on case ferromagnetic ${J}_{1}$ and antiferromagnetic ${J}_{2},{J}_{3}$, which particularly rich because frustration effects allow single-magnon energy dispersion have sixfold degenerate minima at incommensurate momenta. Our calculation also includes an interlayer coupling...

We study the combined effects of fluctuations and frustration in frustrated antiferromagnets described by spin-1/2 easy-axis XXZ model with transverse magnetic fields, propose its promising quantum simulation a coherently coupled binary mixture Fermi atoms triangular optical lattice. perform cluster mean-field plus scaling analysis to show that ground state exhibits several nontrivial phases spin reorientation transition caused order-by-disorder mechanism. Moreover, we find from Monte Carlo...

Neutron stars or pulsars are very rapidly rotating compact with extremely high density. One of the unsolved long-standing problems these enigmatic celestial bodies is origin pulsars' glitches, i.e., sudden rapid deceleration in rotation speed neutron stars. Although many glitch events have been reported, there no consensus on microscopic mechanism responsible for them. important characterizations glitches scaling law

The moduli space metric and its Kähler potential for well-separated non-Abelian vortices are obtained in U(N) gauge theories with N Higgs fields the fundamental representation.Received 22 June 2010DOI:https://doi.org/10.1103/PhysRevD.82.065005© 2010 American Physical Society

We study spin imbalance effects on the Larkin-Ovchinnikov-Fulde-Ferrel (LOFF) state relevant for superconductors under a strong magnetic field and polarized ultracold Fermi gas. obtain exact solution condensates with arbitrary fermion spectrum perturbatively in presence of small imbalance. also zero mode exactly without perturbation theory.

We find the angular Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) states (or twisted kink crystals) in which a phase and an amplitude of pair potential modulate simultaneously quasi-one-dimensional superconducting ring with static Zeeman magnetic field applied on Aharonov-Bohm flux penetrating ring. The produces persistent current, whereas split Fermi energy results spatial modulation potential. show that these two fields stabilize FFLO large parameter region fields. further draw diagram kinds...

Many complex networks from the World Wide Web to biological grow taking into account heterogeneous features of nodes. The feature a node might be discrete quantity such as classification URL document personal page, thematic website, news, blog, search engine, social network, etc., or gene in functional module. Moreover can continuous variable position embedding space. In order for these properties, this paper we provide generalization growing network models with preferential attachment that...

We study the magnetization process of spin-1/2 antiferromagnetic Heisenberg model on a layered triangular lattice by means numerical cluster mean-field method with scaling scheme (CMF+S). It has been known that spins two-dimensional (2D) quantum fluctuations exhibit one-third plateau in curve under magnetic field. demonstrate CMF+S quantitatively reproduces including stabilization plateau. {We also discuss effects finite interlayer coupling, which is unavoidable real quasi-2D materials....

We study the quantum magnetism of SU(4) Mott insulator in a square optical superlattice, which atoms with four nuclear-spin components strongly interact each other, presence an external field that controls imbalance between population two and other two. This is natural extension physics spin-dimer materials under strong magnetic field. apply extended linear flavor-wave theory based on four-site plaquettes unveil ground-state phase diagram excitation spectra. When balanced plaquesttes are...

The quantum triangular XXZ model has recently enjoyed a wealth of new theoretical results, especially in relation to the modeling Ba$_3$CoSb$_2$O$_9$ compound. In particular, it been understood that longitudinal magnetic field umbrella (cone) phase, classically stable all easy-plane region ground-state phase diagram, is considerably reduced by effect fluctuations. We provide more quantitative information for this phenomenon at arbitrary value site spin $S$, employing dilute Bose gas...

We focus on three-component SU(3) Fermi gases loaded into a square optical lattice, with population imbalance between one component and the others. At strong coupling system is described by Heisenberg model an external field that couples to imbalance. discuss ground state at mean-field level then analyze thermal fluctuations semiclassical Monte Carlo method. The interplay of interactions, imbalance, gives rise phase transition linked breaking emergent Ising symmetry, despite absence...

We study spin imbalance effects on the Josephson junction of superconductors under a strong magnetic field and grey soliton in spin-polarized ultracold Fermi gas. obtain exact solution for condensates with arbitrary fermion spectrum perturbatively presence small imbalance.