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The phase diagram for the bond-interacting self-avoiding walk is calculated using transfer matrices on finite strips. The model is shown to have a richer phase diagram than the related $\Theta$-point model. In addition to the standard…

Statistical Mechanics · Physics 2015-06-25 Damien Foster

Fractonic matter can undergo unconventional phase transitions driven by the condensation of particles that move along subdimensional manifolds. We propose that this type of quantum critical point can be realized in a bilayer of crossed…

Strongly Correlated Electrons · Physics 2024-09-16 Rafael A. Macedo , Rodrigo G. Pereira

We study the thermodynamics of the one-dimensional extended Hubbard model at half-filling using a density-matrix renormalization group method applied to transfer matrices. We show that the various phase transitions in this system can be…

Strongly Correlated Electrons · Physics 2007-11-04 S. Glocke , A. Klümper , J. Sirker

What entanglement is present in naturally occurring physical systems at thermal equilibrium? Most such systems are intractable and it is desirable to study simple but realistic systems which can be solved. An example of such a system is the…

Quantum Physics · Physics 2007-05-23 Tobias J. Osborne , Michael A. Nielsen

We study the phase diagram of a system of $2\times2\times2$ hard cubes on a three dimensional cubic lattice. Using Monte Carlo simulations, we show that the system exhibits four different phases as the density of cubes is increased:…

Statistical Mechanics · Physics 2019-07-25 N. Vigneshwar , Dipanjan Mandal , Kedar Damle , Deepak Dhar , R. Rajesh

Field-dependent specific heat and neutron scattering measurements were used to explore the antiferromagnetic S=1/2 chain compound CuCl2 * 2((CD3)2SO). At zero field the system acquires magnetic long-range order below TN=0.93K with an…

Strongly Correlated Electrons · Physics 2009-11-13 Y. Chen , M. B. Stone , M. Kenzelmann , C. D. Batista , D. H. Reich , C. Broholm

A generalization of the one-dimensional frustrated quantum XY model is considered in which the inter and intra-chain coupling constants of the two infinite XY (planar rotor) chains have different strengths. The model can describe the…

Condensed Matter · Physics 2009-10-22 E. Granato

The seminal theoretical works of Berezinskii, Kosterlitz, and Thouless presented a new paradigm for phase transitions in condensed matter that are driven by topological excitations. These transitions have been extensively studied in the…

Quantum Physics · Physics 2020-09-16 R. Cosmic , K. Kawabata , Y. Ashida , H. Ikegami , S. Furukawa , P. Patil , J. M. Taylor , Y. Nakamura

The two-dimensional Ising model on a distorted Kagom\'{e} lattice is studied by means of exact solutions and the tensor renormalisation group (TRG) method. The zero-field phase diagrams are obtained, where three phases such as…

Statistical Mechanics · Physics 2010-10-27 Wei Li , Shou-Shu Gong , Yang Zhao , Shi-Ju Ran , Song Gao , Gang Su

We consider the symmetric two-state 16-vertex model on the square lattice whose vertex weights are invariant under any permutation of adjacent edge states. The vertex-weight parameters are restricted to a critical manifold which is…

Statistical Mechanics · Physics 2020-07-22 Eva Pospíšilová , Roman Krčmár , Andrej Gendiar , Ladislav Šamaj

We investigate the triangular-lattice antiferromagnetic Ising model with a spatially anisotropic next-nearest-neighbor ferromagnetic coupling, which was first discussed by Kitatani and Oguchi. By employing the effective geometric factor, we…

Statistical Mechanics · Physics 2009-11-11 Hiromi Otsuka , Yutaka Okabe , Kiyohide Nomura

We study the nature of the phase transition in the fully frustrated simple cubic lattice with the XY spin model. This system is the Villain's model generalized in three dimensions. The ground state is very particular with a 12-fold…

Statistical Mechanics · Physics 2010-12-30 V. Thanh Ngo , D. Tien Hoang , Hung The Diep

The Ising model is studied on a series of hyperbolic two-dimensional lattices which are formed by tessellation of triangles on negatively curved surfaces. In order to treat the hyperbolic lattices, we propose a generalization of the corner…

Statistical Mechanics · Physics 2012-08-13 Andrej Gendiar , Roman Krcmar , Sabine Andergassen , Michal Daniska , Tomotoshi Nishino

Huerta et al. [Phys. Rev. Research 2, 033351 (2020)] report a power-law decay of positional order in numerical simulations of hard disks confined within hard parallel walls, which they interpret as a Kosterlitz-Thouless-type caging-uncaging…

Soft Condensed Matter · Physics 2021-08-19 Yi Hu , Patrick Charbonneau

We examine the Kosterlitz-Thouless universality class and show that essential scaling at this type of phase transition is not self-consistent unless multiplicative logarithmic corrections are included. In the case of specific heat these…

High Energy Physics - Lattice · Physics 2016-09-01 R. Kenna , A. C. Irving

Thermodynamics of clusterized matter is studied in the framework of statistical models with non-interacting cluster degrees of freedom. At variance with the analytical Fisher model, exact Metropolis simulation results indicate that the…

Nuclear Theory · Physics 2009-09-01 Ad. R. Raduta , F. Gulminelli

A coarsened model for a binary system with limited miscibility of components is proposed; the system is described in terms of structural states in small parts of the material. The material is assumed to have two alternative types of…

Statistical Mechanics · Physics 2007-05-23 Leonid D. Son , German M. Rusakov , Alexander Z. Patashinski , Mark A. Ratner

We measure the effective action in all three phases of 4-dimensional Causal Dynamical Triangulations (CDT) using the transfer matrix method. The transfer matrix is parametrized by the total 3-volume of the CDT universe at a given (discrete)…

High Energy Physics - Theory · Physics 2015-04-02 Jan Ambjorn , Jakub Gizbert-Studnicki , Andrzej Görlich , Jerzy Jurkiewicz

We study the ordered phases and the phase transitions in the stacked triangular antiferromagnetic Ising (STAFI) model with strong interplane coupling modeling CsCoCl$_3$ and CsCoBr$_3$. We find that there exists an intermediate phase which…

Statistical Mechanics · Physics 2007-05-23 Norikazu Todoroki , Seiji Miyashita

The staggered 6-vertex model describes the competition between surface roughening and reconstruction in (100) facets of CsCl type crystals. Its phase diagram does not have the expected generic structure, due to the presence of a…

Statistical Mechanics · Physics 2009-10-28 Douglas Davidson , Marcel den Nijs