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Continuous phase transitions exhibit richer critical phenomena on the surface than in the bulk, because distinct surface universality classes can be realized at the same bulk critical point by tuning the surface interactions. The…

Strongly Correlated Electrons · Physics 2023-07-12 Chengxiang Ding , Wenjing Zhu , Wenan Guo , Long Zhang

We design a (2+1))-dimensional [(2+1)D] quantum spin model in which spin-1/2 ladders are coupled through antiferromagnetic Ising interactions. The model hosts a quantum phase transition in the (2+1)D $Z_2$ universality class from the…

Strongly Correlated Electrons · Physics 2024-09-19 Zhe Wang , Shang-Qiang Ning , Zenan Liu , Junchen Rong , Yan-Cheng Wang , Zheng Yan , Wenan Guo

The special surface transition at (2+1)-dimensional quantum critical point is precluded in corresponding classical critical point. The mechanism of such behavior which is only found in dimerized Heisenberg models so far is still under…

Strongly Correlated Electrons · Physics 2021-01-21 Wenjing Zhu , Chengxiang Ding , Long Zhang , Wenan Guo

We study the boundary critical behavior of the three-dimensional Heisenberg universality class, in the presence of a bidimensional surface. By means of high-precision Monte Carlo simulations of an improved lattice model, where leading bulk…

Statistical Mechanics · Physics 2025-05-12 Francesco Parisen Toldin

Using Quantum Monte Carlo simulations, we study the spin-1/2 Heisenberg model on a two-dimensional lattice formed by coupling diagonal ladders. The model hosts an antiferromagnetic N\'eel phase, a rung singlet product phase, and a…

Strongly Correlated Electrons · Physics 2022-10-19 Zhe Wang , Fan Zhang , Wenan Guo

Using Monte Carlo methods and finite-size scaling, we investigate surface criticality in the O$(n)$ models on the simple-cubic lattice with $n=1$, 2, and 3, i.e. the Ising, XY, and Heisenberg models. For the critical couplings we find…

Statistical Mechanics · Physics 2009-11-11 Youjin Deng , Henk W. J. Blöte , M. P. Nightingale

We study the surface behavior of the two-dimensional columnar dimerized quantum antiferromagnetic XXZ model with easy-plane anisotropy, with particular emphasis on the surface critical behaviors of the (2+1)-dimensional quantum critical…

Strongly Correlated Electrons · Physics 2022-01-28 WenJing Zhu , Chengxiang Ding , Long Zhang , Wenan Guo

A symmetry-protected topological phase has nontrivial surface states in the presence of certain symmetries, which can either be gapless or be degenerate. In this work, we study the physical consequence of such gapless surface states at the…

Strongly Correlated Electrons · Physics 2017-03-01 Long Zhang , Fa Wang

The critical behaviour of $d$-dimensional semi-infinite systems with $n$-component order parameter $\bm{\phi}$ is studied at an $m$-axial bulk Lifshitz point whose wave-vector instability is isotropic in an $m$-dimensional subspace of…

Statistical Mechanics · Physics 2009-11-10 H. W. Diehl , S. Rutkevich

Systems with a bulk first-order transition can display diverging correlation lengths close to a surface. This surface induced disordering yields a special type of surface criticality. Using extensive numerical simulations we study surface…

Statistical Mechanics · Physics 2014-02-07 Linjun Li , Michel Pleimling

The surface critical behavior of bcc binary alloys undergoing a continuous B2-A2 order-disorder transition is investigated in the mean-field (MF) approximation. Our main aim is to provide clear evidence for the fact that surfaces which…

Statistical Mechanics · Physics 2009-10-30 R. Leidl , H. W. Diehl

The critical behavior at the ordinary transition in semi-infinite n-component anisotropic cubic models is investigated by applying the field theoretic approach in d=3 dimensions up to the two-loop approximation. Numerical estimates of the…

Soft Condensed Matter · Physics 2009-11-10 Z. Usatenko , J. Spalek

Using Quantum Monte Carlo simulations, we study spin-1/2 diagonal ladders coupled by ferromagnetic Heisenberg interactions. The model can also be viewed as usual ladders with ferromagnetic rung couplings coupled by antiferromagnetic…

Strongly Correlated Electrons · Physics 2023-07-19 Zhe Wang , Fan Zhang , Wenan Guo

We study the phase transitions of interacting bosons at zero temperature between superfluid (SF) and supersolid (SS) states. The latter are characterized by simultaneous off-diagonal long-range order and broken translational symmetry. The…

Condensed Matter · Physics 2009-10-28 Erwin Frey , Leon Balents

We calculate the surface critical exponents of the ordinary transition occuring in semi-infinite, quenched dilute Ising-like systems. This is done by applying the field theoretic approach directly in d=3 dimensions up to the two-loop…

Statistical Mechanics · Physics 2009-10-31 M. Shpot , Z. Usatenko , Chin-Kun Hu

We study a non-Anderson disorder driven quantum phase transition in a semi-infinite Dirac semimetal with a flat boundary. The conformally invariant boundary conditions, which include those that are time-reversal invariant, lead to…

Disordered Systems and Neural Networks · Physics 2024-05-09 Eric Brillaux , Andrei A. Fedorenko , Ilya A. Gruzberg

The behavior of homogeneous and disordered systems with a free boundary is described on the basis of group theory in the two-loop approximation directly in three-dimensional space. The effect of the free boundary on the regime of the bulk…

Statistical Mechanics · Physics 2009-11-13 S. V. Belim

The critical behaviour of semi-infinite $d$-dimensional systems with short-range interactions and an O(n) invariant Hamiltonian is investigated at an $m$-axial Lifshitz point with an isotropic wave-vector instability in an $m$-dimensional…

Statistical Mechanics · Physics 2008-11-26 H. W. Diehl , S. Rutkevich , A. Gerwinski

We investigate the magnetic quantum phase-transitions in bulk correlated metals at the level of dynamical mean-field theory. To this end, we focus on the Hubbard model on a simple cubic lattice as a function of temperature and electronic…

Strongly Correlated Electrons · Physics 2024-09-09 S. Adler , D. R. Fus , M. O. Malcolms , A. Vock , K. Held , A. A. Katanin , T. Schäfer , A. Toschi

We study the surface critical behavior of semi-infinite quenched random Ising-like systems at the special transition using three dimensional massive field theory up to the two-loop approximation. Besides, we extend up to the next-to leading…

Statistical Mechanics · Physics 2009-10-08 Z. Usatenko , Chin-Kun Hu
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