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We study the effects of quenched disorder on the commensurate-incommensurate transitions in the 1D $\mathbb{Z}_N$ chiral clock model. The interplay of domain walls and rare regions rounds the sharp transitions of the pure model. The density…

Disordered Systems and Neural Networks · Physics 2022-04-01 Pengfei Liang , Rosario Fazio , Stefano Chesi

In this paper we use a formal discrete-to-continuum procedure to derive a continuum variational model for two chains of atoms with slightly incommensurate lattices. The chains represent a cross-section of a three-dimensional system…

Materials Science · Physics 2017-09-13 Malena Español , Dmitry Golovaty , J. Patrick Wilber

Quantum fluctuations of periodic domain-wall arrays in two-dimensional incommensurate states at zero temperature are investigated using the elastic theory in the vicinity of the commensurate-incommensurate transition point. Both stripe and…

Statistical Mechanics · Physics 2009-11-07 Tsutomu Momoi

We investigate the interacting domain-wall model derived from the triangular-lattice antiferromagnetic Ising model with two next-nearest-neighbor interactions. The system has commensurate phases with a domain-wall density $q=2/3$ as well as…

Condensed Matter · Physics 2009-10-22 Jae Dong Noh , Doochul Kim

We have used the Path Integral Monte Carlo method to simulate a monolayer of molecular hydrogen on graphite above 1/3 submonolayer coverage. We find that at low temperature and as the coverage increases the system undergoes a series of…

Strongly Correlated Electrons · Physics 2009-11-07 Kwangsik Nho , Efstratios Manousakis

In low magnetic field, the stacked, triangular antiferromagnet CsCuCl3 has a helical structure incommensurate (IC) in the chain direction. The IC wavenumber (from neutron-diffraction experiments) decreases with increasing field transverse…

Statistical Mechanics · Physics 2009-10-30 Tetsuro Nikuni , A. E. Jacobs

Various phase transitions in models for coupled charge-density waves are investigated by means of the $\epsilon$-expansion, mean-field theory, and Monte Carlo simulations. At zero temperature the effective action for the system with…

Strongly Correlated Electrons · Physics 2009-11-10 Minchul Lee , Eun-Ah Kim , Jong Soo Lim , M. Y. Choi

We study the influence of many-particle interaction in a system which, in the single particle case, exhibits a metal-insulator transition induced by a finite amount of onsite pontential fluctuations. Thereby, we consider the problem of…

Disordered Systems and Neural Networks · Physics 2009-11-07 Cosima Schuster , Rudolf A. Roemer , Michael Schreiber

Formation of domain walls during a rapid phase transition in a quasi one dimensional Cahn-Hiliard equation describing binary fluids in a thin tube is studied. Density of kinks scales like a sixth root of quench rate for equal concentrations…

Condensed Matter · Physics 2007-05-23 Jacek Dziarmaga , Mariusz Sadzikowski

Domain wall networks have attracted renewed interest, particularly in relation to the dynamics of network collapse. Accurately describing this process is challenging and typically requires large scale numerical simulations. Here we adopt a…

The magnetic phase diagram of the quasi one-dimensional spinchain system CsNiF$_3$ below the N\'eel temperature is determined. For magnetic fields perpendicular to the spin chains incommensurate phases are predicted. From linear spin-wave…

Statistical Mechanics · Physics 2009-10-30 C. Pich , F. Schwabl

We investigate the thermodynamic and critical properties of an interacting domain wall model which is derived from the triangular lattice antiferromagnetic Ising model with the anisotropic nearest and next nearest neighbor interactions. The…

Condensed Matter · Physics 2009-10-22 Jaedong Noh , Doochul Kim

We report results of large-scale Monte Carlo simulations of superfluid--insulator transitions in commensurate 2D bosonic systems. In the case of off-diagonal disorder (quantum percolation), we find that the transition is to a gapless…

Condensed Matter · Physics 2009-11-10 Nikolay Prokof'ev , Boris Svistunov

In recent years, programmable Rydberg-atom arrays have been widely used to simulate new quantum phases and phase transitions, generating great interest among theorists and experimentalists. Based on the large-scale density matrix…

Strongly Correlated Electrons · Physics 2022-10-26 Xue-Jia Yu , Sheng Yang , Jinbo Xu , Limei Xu

Chiral superconductors are two-fold degenerate and domains of opposite chirality can form, separated by domain walls. There are indications of such domain formation in the quasi two-dimensional putative chiral $p$-wave superconductor…

Superconductivity · Physics 2020-09-22 Sarah B. Etter , Wen Huang , Manfred Sigrist

We report high-precision heat-capacity measurements of submonolayer $^3$He adsorbed on highly crystalline graphite, revealing new aspects of the commensurate$-$incommensurate transition. Below 1\~K, two possible striped domain-wall phases…

Other Condensed Matter · Physics 2026-03-12 A. Kumashita , J. Usami , S. Komatsu , Y. Yamane , S. Miyasaka , H. Fukuyama , A. Yamaguchi

We present a comprehensive study for the statistical properties of random variables that describe the domain structure of a finite Ising chain with nearest-neighbor exchange interactions and free boundary conditions. By use of extensive…

Statistical Mechanics · Physics 2016-08-16 S. I. Denisov , P. Hänggi

In a number of classical statistical-physical models, there exists a characteristic dimensionality called the upper critical dimension above which one observes the mean-field critical behavior. Instead of constructing high-dimensional…

Statistical Mechanics · Physics 2011-11-24 Seung Ki Baek , Jaegon Um , Su Do Yi , Beom Jun Kim

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

Phase transitions of systems confined in long cylindrical pores (capillary condensation, wetting, crystallization, etc.) are intrinsically not sharply defined but rounded. The finite size of the cross section causes destruction of long…

Statistical Mechanics · Physics 2015-05-19 Dorothea Wilms , Alexander Winkler , Peter Virnau , Kurt Binder
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