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We study the S=1/2 Heisenberg antiferromagnet on a square lattice with nearest-neighbor and plaquette four-spin exchanges (introduced by A.W. Sandvik, Phys. Rev. Lett. {\bf 98}, 227202 (2007).) This model undergoes a quantum phase…

Strongly Correlated Electrons · Physics 2009-11-14 Valeri N. Kotov , Dao-Xin Yao , A. H. Castro Neto , D. K. Campbell

The quasi-one-dimensional S=1 Heisenberg antiferromagnet with a biquadratic term is investigated at zero temperature by quantum Monte Carlo simulation. As the magnitude of the inter-chain coupling is increased, the system undergoes a phase…

Statistical Mechanics · Physics 2015-06-25 Kenji Harada , Naoki Kawashima , Matthias Troyer

Using the J_1-J_2 model, we present a description of quantum phase transition from Neel ordered to the spin-liquid state based on the modified spin wave theory. The general expression for the gap in the spectrum in the spin-liquid phase is…

Condensed Matter · Physics 2009-10-22 A. Dotsenko , O. Sushkov

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

Recent results on the nature of the quantum critical point between Neel and valence bond solid(VBS) ordered phases of two dimensional quantum magnets are examined by an attack from the VBS side. This approach leads to an appealingly simple…

Strongly Correlated Electrons · Physics 2009-11-10 Michael Levin , T. Senthil

We present the critical theory of a number of zero temperature phase transitions of quantum antiferromagnets and interacting boson systems in two dimensions. The most important example is the transition of the S = 1/2 square lattice…

Strongly Correlated Electrons · Physics 2007-05-23 T. Senthil , Leon Balents , Subir Sachdev , Ashvin Vishwanath , Matthew P. A. Fisher

We consider spin-half quantum antiferromagnets in two spatial dimensions in the quantum limit, where the spins are in a valence bond solid (VBS) phase. The transitions between two such VBS phases is studied. In some cases, an interesting…

Strongly Correlated Electrons · Physics 2009-11-10 Ashvin Vishwanath , L. Balents , T. Senthil

The antiferromagnetic to valence-bond-solid phase transition in the two-dimensional J-Q model (an S=1/2 Heisenberg model with four-spin interactions) is studied using large-scale quantum Monte Carlo simulations. The results support a…

Strongly Correlated Electrons · Physics 2010-04-30 Anders W. Sandvik

We study the transition between N\'eel and columnar valence-bond solid ordering in two-dimensional $S=3/2$ square lattice quantum antiferromagnets with SO(3) symmetry. According to the deconfined criticality scenario, this transition can be…

Strongly Correlated Electrons · Physics 2024-09-19 Fan Zhang , Wenan Guo , Ribhu K. Kaul

We resolve the nature of the quantum phase transition between a N\'eel antiferromagnet and a valence-bond solid in two-dimensional spin-1/2 magnets. We study a class of $J$-$Q$ models, in which Heisenberg exchange $J$ competes with…

Strongly Correlated Electrons · Physics 2024-05-13 Jun Takahashi , Hui Shao , Bowen Zhao , Wenan Guo , Anders W. Sandvik

Strange metal behavior arises in heavy fermion metals close to antiferromagnetic transitions. An increasing amount of experiments indicates a link of such behavior to a Kondo breakdown quantum critical point. To shed light on this…

Strongly Correlated Electrons · Physics 2020-09-23 Jiangfan Wang , Yung-Yeh Chang , Chung-Yu Mou , Stefan Kirchner , Chung-Hou Chung

The spin-1/2 Heisenberg antiferromagnet on the distorted honeycomb (DHC) lattice is studied by means of the tensor renormalization group method. It is unveiled that the system has a quantum phase transition of second-order between the…

Strongly Correlated Electrons · Physics 2010-06-07 Wei Li , Shou-Shu Gong , Yang Zhao , Gang Su

We investigate the quantum phase transitions in the frustrated antiferromagnetic Heisenberg model for $\rm SrCu_2(BO_3)_2$ by using the series expansion method. It is found that a novel spin-gap phase, which is adiabatically connected to…

Strongly Correlated Electrons · Physics 2009-10-31 Akihisa Koga , Norio Kawakami

Deconfined quantum criticality of two-dimensional $SU(2)$ quantum antiferromagnets featuring a transition from an antiferromagnetically ordered ground state to a so-called valence-bond solid state, is governed by a non-compact CP$^1$ model…

Strongly Correlated Electrons · Physics 2013-12-24 Flavio S. Nogueira , Asle Sudbo

We analyze the phase diagram of the frustrated Heisenberg antiferromagnet, the J1-J2 model, in two dimensions. Two quantum phase transitions in the model are already known: the second order transition from the Neel state to the spin liquid…

Strongly Correlated Electrons · Physics 2009-10-31 O. P. Sushkov , J. Oitmaa , Zheng Weihong

We investigate the spatially anisotropic square lattice quantum antiferromagnet. The model describes isotropic spin-1/2 Heisenberg chains (exchange constant J) coupled antiferromagnetically in the transverse (J_\perp) and diagonal…

Strongly Correlated Electrons · Physics 2007-05-23 Oleg A. Starykh , Leon Balents

Using a combination of unbiased quantum Monte Carlo simulations and a decoupled dimer mean-field theory, we investigate the thermal and quantum phase transitions of the spin-1/2 Heisenberg model on the dimerized diamond lattice. We find…

Strongly Correlated Electrons · Physics 2025-09-03 Ronja Bärwolf , Alexander Sushchyev , Francesco Parisen Toldin , Stefan Wessel

Quantum phase transition in dimerized antiferromagnetic Heisenberg spin chain has been studied. A staircase structure in the variation of concurrence within strongly coupled pairs with that of external magnetic field has been observed…

Quantum Physics · Physics 2015-03-31 Aparajita Das , Sreeparna Bhadra , Sonali Saha

We have considered the $S=1/2$ antiferromagnetic Heisenberg model in two dimensions, with an additional Ising \nnn interaction. Antiferromagnetic \nnn interactions will lead to frustration, and the system responds with flipping the spins…

Strongly Correlated Electrons · Physics 2015-06-25 J. Hove , A. Sudbø

The S=1/2 Heisenberg model is considered on bilayer and single-layer square lattices with couplings J1, J2, and with each spin belonging to one J2-coupled dimer. A transition from a Neel to disordered ground state occurs at a critical value…

Strongly Correlated Electrons · Physics 2007-07-28 Anders W. Sandvik
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