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We point out some problems with the previously-proposed phase diagram of the $Z_6$ spin models. Consideration of the diagram near to the decoupling surface using both exact and approximate arguments suggests a modification which remedies…

High Energy Physics - Theory · Physics 2009-10-31 Patrick Dorey , Paolo Provero , Roberto Tateo , Stefano Vinti

A spin-glass system with a smooth or fractal outer surface is studied by renormalization-group theory, in bulk spatial dimension d=3. Independently varying the surface and bulk random-interaction strengths, phase diagrams are calculated.…

Disordered Systems and Neural Networks · Physics 2025-02-18 Yiğit Ertaç Pektaş , E. Can Artun , A. Nihat Berker

The interplay of interactions and disorder in low-dimensional superconductors supports the formation of multiple quantum phases, as possible instabilities of the Superconductor-Insulator Transition (SIT) at a singular quantum critical…

Superconductivity · Physics 2021-06-09 Eyal Walach , Efrat Shimshoni

A model that merges the Potts, cubic, and clock models is studied in spatial dimension d=3 by renormalization-group theory. Effective vacancies are included in the renormalization-group initial conditions. In the global phase diagram, 5…

Statistical Mechanics · Physics 2025-05-27 Umut Acikel , A. Nihat Berker

The phase structure of QCD remains an open fundamental problem of standard model physics. In particular at finite density, our knowledge is limited. Yet, numerous model studies point towards a rich and complex phase diagram at large…

High Energy Physics - Phenomenology · Physics 2025-10-14 Fabian Rennecke

We present a detailed study of the ground state phase diagram of the classical frustrated Heisenberg model on the face-centered-cubic lattice. By considering exchange interactions up till third nearest neighbors, we find commensurate,…

Strongly Correlated Electrons · Physics 2020-11-26 Péter Balla , Yasir Iqbal , Karlo Penc

A 2D Fully Frustrated XY(FFXY) class of models is shown to contain a new groundstate in addition to the checkerboard groundstates of the standard 2D FFXY model. The spin configuration of this additional groundstate is obtained. Associated…

Statistical Mechanics · Physics 2008-11-25 Petter Minnhagen , Beom Jun Kim , Sebastian Bernhardsson , Gerardo Cristofano

We study the softcore extended Bose Hubbard model in a two-dimensional triangular lattice by using the quantum Monte Carlo methods. The ground state phase diagram of the system exhibits a very fruitful structure. Except the Mott insulating…

Strongly Correlated Electrons · Physics 2015-06-25 Jing-Yu Gan , Yu-Chuan Wen , Yue-Yu

We study the ground state phase diagram of a frustrated spin-1/2 four-leg tube. Using a variety of complementary techniques, namely density matrix renormalization group, exact diagonalization, Schwinger boson mean field theory, quantum…

Strongly Correlated Electrons · Physics 2015-06-11 M. Arlego , W. Brenig , Y. Rahnavard , B. Willenberg , H. D. Rosales , G. Rossini

Recent lattice model calculations have suggested that a full-layered crystal surface may undergo, under canonical (particle-conserving) conditions, a preroughening-driven two-dimensional phase separation into two disordered flat (DOF)…

Materials Science · Physics 2009-10-31 C. S. Jayanthi , Franck Celestini , Furio Ercolessi , Erio Tosatti

The Hartree-Fock ground-state phase diagram of the one-dimensional Hubbard model is calculated in the $\mu-U$ plane, restricted to phases with no charge density modulation, extending the results presented in cond-mat/9511116. This allows…

Condensed Matter · Physics 2007-05-23 J. H. Samson

We present recent Monte Carlo results on surfaces of bcc-structured binary alloys which undergo an order-disorder phase transformation in the bulk. In particular, we discuss surface order and surface induced disorder at the bulk transition…

Materials Science · Physics 2007-05-23 F. F. Haas , F. Schmid , K. Binder

We investigate two complementary field-theoretical models describing the flat phase of polymerized - phantom - membranes by means of a two-loop, weak-coupling, perturbative approach performed near the upper critical dimension $D_{uc}=4$,…

Statistical Mechanics · Physics 2020-06-18 O. Coquand , D. Mouhanna , S. Teber

Some frustrated magnets and superconducting arrays possess unusual symmetries that cause the free energy or other physics of a $D$-dimensional quantum or classical problem to be that of a different problem in a reduced dimension $d<D$.…

Strongly Correlated Electrons · Physics 2009-11-10 Cenke Xu , J. E. Moore

We study a frustrated mixed spin chain with side chains, where the spin species and the exchange interactions are spatially varied. A nonlinear sigma model method is formulated for this model, and a phase diagram with two disordered…

Strongly Correlated Electrons · Physics 2008-08-23 Ken'ichi Takano , Kazuo Hida

We model an apparent instability seen in recent experiments on current induced step bunching on Si(111) surfaces using a generalized 2D BCF model, where adatoms have a diffusion bias parallel to the step edges and there is an attachment…

Soft Condensed Matter · Physics 2009-10-31 Da-Jiang Liu , John D. Weeks , Daniel Kandel

In low dimensions, conformal anomaly has profound influence on the critical behavior of random surfaces with extrinsic curvature rigidity $1/\a$. We illustrate this by making a small $D$ expansion of rigid random surfaces, where a…

High Energy Physics - Theory · Physics 2008-11-26 Zhu Yang

Finsler geometric surface model is studied as a coarse-grained model for membranes of three-component such as DOPC, DPPC and Cholesterol. To understand the phase separation of liquid ordered (DPPC rich) $L_o$ and the liquid disordered (DOPC…

Soft Condensed Matter · Physics 2016-08-09 Satoshi Usui , Hiroshi Koibuchi

The row model for frustrated XY spins on a triangular lattice in 2D is used to study incommensurate{IC}) spiral and commensurate{C} antiferromagnetic (AF) phases, in the regime where a C-IC transition occurs. Using fluctuating boundary…

Statistical Mechanics · Physics 2009-10-31 M. Gabay , M. Benakli , W. M. Saslow

We study the impact of the diagonal frustrating couplings on the quantum phase diagram of a two-leg ladder composed of alternating spin-1 and spin-1/2 rungs. As the coupling strength is increased the system successively exhibits two gapped…

Strongly Correlated Electrons · Physics 2015-05-14 V. Ravi Chandra , N. B. Ivanov , J. Richter