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We use quantum Monte Carlo simulations to study effects of disorder on the quantum phase transition occurring versus the ratio g=J/J' in square-lattice dimerized S=1/2 Heisenberg antiferromagnets with intra- and inter-dimer couplings J and…

Strongly Correlated Electrons · Physics 2015-05-19 Dao-Xin Yao , Jonas Gustafsson , E. W. Carlson , Anders W. Sandvik

Histogram Monte Carlo simulation is used to investigate effects of biquadratic exchange $J_{2}$ on phase transitions of a 3D classical XY antiferromagnet with frustration induced by the antiferromagnetic exchange $J_{1}$ and the stacked…

Statistical Mechanics · Physics 2013-01-10 M. Žukovič , T. Idogaki , K. Takeda

The magnetization process of the spin-1/2 antiferromagnetic Heisenberg model on two-dimensional square-kagome lattice is studied theoretically. The metamagnetic jumps exist in the magnetization process at the higher edge of the 1/3 and 2/3…

Strongly Correlated Electrons · Physics 2018-07-06 Yasumasa Hasegawa , Hiroki Nakano , Toru Sakai

The spin-1/2 chain with isotropic Heisenberg exchange $J_1$, $J_2 > 0$ between first and second neighbors is frustrated for either sign of J1. Its quantum phase diagram has critical points at fixed $J_1/J_2$ between gapless phases with…

Strongly Correlated Electrons · Physics 2015-07-15 Manoranjan Kumar , Aslam Parvej , Zoltán G. Soos

We examine the two-dimensional $t{-}J$ model by using variational approach combined with well established quantum Monte Carlo techniques [S. Sorella {\it et al.}, \prl {\bf 88}, 117002 (2002)] that are used to improve systematically the…

Strongly Correlated Electrons · Physics 2015-06-03 Wen-Jun Hu , Federico Becca , Sandro Sorella

We study a quantum phase transition from a massless to massive Dirac fermion phase in a new two-dimensional bipartite lattice model of electrons that is amenable to sign-free quantum Monte Carlo simulations. Importantly, interactions in our…

Strongly Correlated Electrons · Physics 2022-12-23 Hanqing Liu , Emilie Huffman , Shailesh Chandrasekharan , Ribhu K. Kaul

We study the effect of a missing spin in a one dimensional $S=1/2$ antiferromagnet with nearest neighbour Heisenberg exchange $J$ and six-spin coupling $Q=4qJ$ using Quantum Monte-Carlo (QMC) and bosonization techniques. For $q< q_c \approx…

Strongly Correlated Electrons · Physics 2015-05-28 Sambuddha Sanyal , Argha Banerjee , Kedar Damle

An $S=1/2$ ferromagnetic (F) - antiferromagnetic (AF) random alternating Heisenberg quantum spin chain model is investigated in connection to its realization compound: (CH$_3$)$_2$CHNH$_3$Cu(Cl$_x$Br$_{1-x}$)$_3$. The exchange interaction…

Disordered Systems and Neural Networks · Physics 2009-11-10 Tota Nakamura

We review the pertinent features of the phase diagram of the zero-field Blume-Capel model, focusing on the aspects of transition order, finite-size scaling and universality. In particular, we employ a range of Monte Carlo simulation methods…

Statistical Mechanics · Physics 2017-04-06 J. Zierenberg , N. G. Fytas , M. Weigel , W. Janke , A. Malakis

Motivated by recent progress on the experimental realization of proximate deconfined quantum critical point in a frustrated quantum magnet, we study the low-energy spin dynamics of a related checkerboard $J$-$Q$ model by using quantum Monte…

Strongly Correlated Electrons · Physics 2024-08-01 Chengchen Li , Huihang Lin , Rong Yu

The magnetic behaviors of a spin-1/2 alternating Heisenberg antiferromagnetic chain in a staggered transverse magnetic field is studied by means of the density-matrix renormalization group method and Jordan-Wigner transformation. Quantum…

Strongly Correlated Electrons · Physics 2009-04-07 Guang-Qiang Zhong , Shou-Shu Gong , Qing-Rong Zheng , Gang Su

Quantum transition points in the J -Q model---the test bed of the deconfined critical point theory---and the SU(2)-symmetric discrete noncompact CP^1 representation of the deconfined critical action are directly compared by the flowgram…

Strongly Correlated Electrons · Physics 2016-11-04 Kun Chen , Yuan Huang , Youjin Deng , A. B. Kuklov , N. V. Prokof'ev , B. V. Svistunov

The large-N expansion of the quasi-two-dimensional quantum nonlinear $\sigma$ model (QNLSM) is used in order to establish experimentally applicable universal scaling relations for the quasi-two-dimensional Heisenberg antiferromagnet. We…

Strongly Correlated Electrons · Physics 2007-05-23 Antoine Praz , Christopher Mudry , Matthew Hastings

The behavior of the paradigmatic $J_1-J_2$ triangular lattice Heisenberg antiferromagnet in a magnetic field remains unsettled despite decades of study. We map out the phase diagram using three complementary approaches, including…

Strongly Correlated Electrons · Physics 2025-12-10 Thomas Bader , Shi Feng , Sasank Budaraju , Federico Becca , Johannes Knolle , Frank Pollmann

The power of machine learning algorithms to automatically classify different phases of matter and detect quantum phase transitions without necessity to characterize phases by various quantities like local order parameters or topological…

Strongly Correlated Electrons · Physics 2021-03-15 Tanja Duric

Recently, it has been proposed that higher-spin analogues of the Kitaev interactions $K>0$ may also occur in a number of materials with strong Hund's and spin-orbit coupling. In this work, we use Lanczos diagonalization and density matrix…

Strongly Correlated Electrons · Physics 2020-10-26 Wen-Long You , Gaoyong Sun , Jie Ren , Wing Chi Yu , Andrzej M. Oleś

We present the zero temperature phase diagram of a Heisenberg antiferromagnet on a frustrated triangular lattice with nearest neighbor ($J_1$) and next nearest neighbor ($J_2$) interactions, in a magnetic field. We show that the classical…

Strongly Correlated Electrons · Physics 2017-05-25 Mengxing Ye , Andrey V. Chubukov

We study the quantum phase transition in the three-dimensional disordered itinerant antiferromagnet by Monte-Carlo simulations of the order-parameter field theory. We find strong evidence for the transition being controlled by an…

Disordered Systems and Neural Networks · Physics 2007-05-23 Rastko Sknepnek , Thomas Vojta

The surface scaling behavior of classical isotropic Heisenberg magnets is investigated by Monte - Carlo methods in d=3 dimensions for various values of the surface - to - bulk coupling ratio J_1/J. For J_1/J <= 1.0 critical behavior…

Statistical Mechanics · Physics 2009-10-31 M. Krech

We investigate critical properties of the stacked-$J_1$-$J_2$ Ising model on a cubic lattice. Using Monte Carlo simulations and renormalization group, we find a single phase transition of the first order for $J_2/J_1>1/2$. The renormgroup…

Strongly Correlated Electrons · Physics 2022-06-22 A. O. Sorokin