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Lattice models are powerful tools for studying strongly correlated quantum many-body systems, but their general lack of exact solutions motivates efforts to simulate them in tunable platforms. Recently, a promising new candidate has emerged…

Strongly Correlated Electrons · Physics 2026-01-27 Yiqi Yang , Yubo Yang , Miguel A. Morales , Shiwei Zhang

Using results from sheaf theory combined with the phenomenological theory of the two-dimensional superfluid, the precipitation of quantum vortices is shown to be the genesis of a macroscopic order parameter for a phase transition in two…

Mathematical Physics · Physics 2015-06-26 Harry L. Morrison , Achilles D. Speliotopoulos

The magnetic response and fluxoid transitions of superconducting aluminum rings of various sizes, deposited under conditions likely to generate a layered structure, show good agreement with a two-order-parameter Ginzburg-Landau model. For…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Hendrik Bluhm , Nicholas C. Koshnick , Martin E. Huber , Kathryn A. Moler

A class of general spin 1/2 lattice models on hyper-cubic lattice $Z^d$, whose Hamiltonians are sums of two functions depending on the Pauli matrices $S^1$, $S^2$ and $S^3$, respectively, are found, which have Gibbsian eigen (ground) states…

Mathematical Physics · Physics 2008-04-24 Wolodymyr Skrypnik

The nematic-superconductor state is an example of a quantum liquid crystal that breaks gauge as well as rotation invariance. It was conjectured to exist in the pseudogap regime of the cuprates high $T_c$ superconductors. The…

Superconductivity · Physics 2016-11-18 Daniel G. Barci , Rafael V. Clarim , Nei L. Silva Júnior

The vortex lattice structure in a d_{x^2-y^2}-wave superconductor is investigated near the upper critical magnetic field in the framework of the Ginzburg Landau theory extended by including the correction terms such as the higher order…

Superconductivity · Physics 2009-10-30 Masanori Ichioka , Naoki Enomoto , Kazushige Machida

The paper contains an application of the generalized lattice model to multicomponent systems with internal degrees of freedom. The short-range inter-atomic repulsions and smooth long-range parts of the inter-atomic potentials are considered…

Statistical Mechanics · Physics 2009-10-07 A. Yu. Zakharov , M. I. Bichurin

Quantum models on the hyper-cubic d-dimensional lattice of spin-1/2 particles interacting with linear oscillators are shown to have three ferromagnetic ground state order parameters. Two order parameters coincide with the magnetization in…

Statistical Mechanics · Physics 2008-04-25 Teunis C. Dorlas , Wolodymyr I. Skrypnik

We use an extension of fundamental measure theory to lattice hard-core fluids to study the phase diagram of two different systems. First, two-dimensional parallel hard squares with edge-length $\sigma=2$ in a simple square lattice. This…

Soft Condensed Matter · Physics 2009-11-10 Luis Lafuente , Jose A. Cuesta

The order parameters of the magnetic, charge and structural orders at half-doped manganites are identified. A corresponding Landau theory of the phase transitions is formulated. Many structural and thermodynamical behaviors are accounted…

Strongly Correlated Electrons · Physics 2009-10-31 Fan Zhong , Z. D. Wang

Recently, a three-component Ginzburg-Landau (GL) model compatible with the 3Q pair-density-wave state has been proposed to explain the fractional quantum magnetic resistance oscillations of period $\phi_0/3 = hc/6e$ observed in…

Superconductivity · Physics 2026-05-28 Shen-Yi Peng , Ling-Feng Zhang , Xiao Hu

Phase structure is studied for a system which has symmetry group SU(3) and is described by SU(3)-${\bf 3 \times 3}$ order parameter. The study is rested on SU(3)-Ginzburg-Landau effective potential constructed as a preliminary.

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Nakano , T. Suzuki , H. Yabu

We present an extension of the framework introduced in [1] to treat multicomponent systems, showing that new degrees of freedom are necessary in order to obtain the desired boundary conditions. We then apply this extended framework to the…

Quantum Gases · Physics 2019-02-01 Luca Mingarelli , Eric E Keaveny , Ryan Barnett

Unconventional strongly correlated phases of the repulsive Fermi-Hubbard model, which could be emulated by ultracold vapors loaded in optical lattices, are investigated by means of energy minimizations with quantum number projection before…

Quantum Gases · Physics 2015-10-20 A. Leprévost , O. Juillet , R. Frésard

In a previous paper [Nijhoff,Puttock,2003], a 2-parameter extension of the lattice potential KdV equation was derived, associated with an elliptic curve. This comprises a rather complicated 3-component system on the quad lattice which…

Exactly Solvable and Integrable Systems · Physics 2025-02-19 Frank Nijhoff , Cheng Zhang , Da-jun Zhang

Based on a two dimensional odd-parity superconducting order parameter for Sr_2RuO_4 with p-wave symmetry, we investigate the single vortex and vortex lattice structure of the mixed phase near H_{c1}. Ginzburg-Landau calculations for a…

Superconductivity · Physics 2009-10-31 R. Heeb , D. F. Agterberg

In 4D compact U(1) lattice gauge theory with a monopole term added to the Wilson action we first reveal some properties of a third phase region at negative $\beta$. Then at some larger values of the monopole coupling $\lambda$ by a…

High Energy Physics - Lattice · Physics 2009-10-31 G. Damm , W. Kerler

The Verwey phase transition in magnetite is analyzed on the basis of the Landau theory. The free energy functional is expanded in a series of components belonging to the primary and secondary order parameters. A low-temperature phase with…

Statistical Mechanics · Physics 2008-01-10 P. Piekarz , K. Parlinski , A. M. Oles

We study the two-point correlator of a modified Confined-Coulomb transition order parameter in four dimensional compact U(1) lattice gauge theory with Wilson action. Its long distance behavior in the confined phase turns out to be governed…

High Energy Physics - Lattice · Physics 2009-11-11 Luca Tagliacozzo

We study theoretically many-body equilibrium magnetic phases and corresponding thermodynamic characteristics of ultracold three-component fermionic mixtures in optical lattices described by the SU(3)-symmetric single-band Hubbard model. Our…

Quantum Gases · Physics 2015-09-02 Andrii Sotnikov