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We describe a class of parity- and time-reversal-invariant topological states of matter which can arise in correlated electron systems in 2+1-dimensions. These states are characterized by particle-like excitations exhibiting exotic braiding…

Strongly Correlated Electrons · Physics 2011-06-07 Michael Freedman , Chetan Nayak , Kirill Shtengel , Kevin Walker , Zhenghan Wang

We study the spin-$1/2$ ferromagnetic Heisenberg-Kitaev-$\Gamma$ model in the anisotropic (Toric code) limit to reveal the nature of the quantum phase transition between the gapped $Z_2$ quantum spin liquid and a spin ordered phase (driven…

Strongly Correlated Electrons · Physics 2021-01-04 Animesh Nanda , Kusum Dhochak , Subhro Bhattacharjee

We investigate string correlations in an infinite-size spin-1/2 bond-alternating Heisenberg chain. By employing the infinite matrix product state representation with the infinite time evolving block decimation method, a finite string…

Statistical Mechanics · Physics 2013-05-30 Hai Tao Wang , Bo Li , Sam Young Cho

A spin supersolid is characterized by the simultaneous breaking of lattice translation and continuous spin rotation symmetries. In this work, we study a spin-1 model with $U(2)\cong SU(2)\times U(1)/Z_2$ symmetry on the triangular lattice,…

Strongly Correlated Electrons · Physics 2026-01-08 Si-Cheng Wang , Zheng-Xin Liu

We investigate the magnetic ground state and phase transitions in the frustrated three-dimensional system CaMn2P2 using first-principles calculations combined with spin-dynamics simulations. Our DFT+U calculations reveal that CaMn2P2…

Strongly Correlated Electrons · Physics 2025-06-13 Bidyut Mallick , Sk. Soyeb Ali , S. K. Panda

We study a Heisenberg S=1/2 ring-exchange antiferromagnet which exhibits a quantum phase transition from a spontaneously dimerized (valence bond solid) phase to a magnetically ordered (Neel) phase. We argue that the quantum transition is of…

Strongly Correlated Electrons · Physics 2007-05-23 Valeri N. Kotov , D. X. Yao , A. H. Castro Neto , D. K. Campbell

We study the quantum phase transitions (QPTs) in the Kitaev spin model on a triangle-honeycomb lattice. In addition to the ordinary topological QPTs between Abelian and non-Abelian phases, we find new QPTs which can occur between two phases…

Statistical Mechanics · Physics 2015-05-19 Xiao-Feng Shi , Yan Chen , J. Q. You

Quantum phase transitions in quantum matter occur at zero temperature between distinct ground states by tuning a nonthermal control parameter. Often, they can be accurately described within the Landau theory of phase transitions, similarly…

We consider quantum phases of tightly-confined spin-2 bosons in an external field under the presence of rotationally-invariant interactions. Generalizing previous treatments, we show how this system can be mapped onto a quantum rotor model.…

Quantum Gases · Physics 2016-08-10 Matjaž Payrits , Ryan Barnett

Reversible control of the topological invariants from nontrivial to trivial states has fundamental implications for quantum information processors and spintronics, by realizing of an on/off switch for robust and dissipationless…

We describe the finite-size spectrum in the vicinity of the quantum critical point between a $\mathbb{Z}_2$ spin liquid and a coplanar antiferromagnet on the torus. We obtain the universal evolution of all low-lying states in an…

Strongly Correlated Electrons · Physics 2016-08-24 Seth Whitsitt , Subir Sachdev

The Mott metal-insulator transition-a drastic manifestations of Coulomb interactions among electrons-is the first-order transition of clear discontinuity, as shown by various experiments and the celebrated dynamical mean-field theory.…

Strongly Correlated Electrons · Physics 2018-03-01 Tetsuya Furukawa , Kazuhiko Kobashi , Yosuke Kurosaki , Kazuya Miyagawa , Kazushi Kanoda

Using Random Phase Approximation, we show that a crossed-chains model of a spin-1/2 Heisenberg spins, with frustrated interchain couplings, has a non-dimerized spin-liquid ground state in 2D, with deconfined spinons as the elementary…

Strongly Correlated Electrons · Physics 2009-11-07 Oleg A. Starykh , Rajiv R. P. Singh , Gregory C. Levine

The exotic normal state of iron chalcogenide superconductor FeSe, which exhibits vanishing magnetic order and possesses an electronic nematic order, triggered extensive explorations of its magnetic ground state. To understand its novel…

Strongly Correlated Electrons · Physics 2017-08-22 Shou-Shu Gong , W. Zhu , D. N. Sheng , Kun Yang

We study a generalization of the two-dimensional transverse-field Ising model, combining both ferromagnetic and antiferromagnetic two-body interactions, that hosts exact global and local Z2 gauge symmetries. Using exact diagonalization and…

Strongly Correlated Electrons · Physics 2021-09-01 Kai-Hsin Wu , Zhi-Cheng Yang , Dmitry Green , Anders W. Sandvik , Claudio Chamon

Quantum spin liquids have been at the forefront of correlated electron research ever since their original proposal in 1973, and the realization that they belong to the broader class of intrinsic topological orders, along with the fractional…

Strongly Correlated Electrons · Physics 2018-04-26 Ioannis Rousochatzakis , Yuriy Sizyuk , Natalia B. Perkins

We use quantum Monte Carlo simulations to study a disordered S=1/2 Heisenberg quantum spin model with three different nearest-neighbor interactions, J1<=J2<=J3, on the square lattice. We consider the regime in which J1 represents weak…

Strongly Correlated Electrons · Physics 2017-06-30 Nvsen Ma , Anders W. Sandvik , Dao-Xin Yao

We present a general approach to understanding the quantum phases and phase transitions of quantum antiferromagnets in two spatial dimensions. We begin with the simplest spin liquid state, the Z_2 spin liquid, whose elementary excitations…

Strongly Correlated Electrons · Physics 2009-04-23 Cenke Xu , Subir Sachdev

Despite the intensive interest in copper- and nickel-based superconductivity in infinite-layer structures, the physical properties of many other infinite-layer transition-metal oxides remain largely unknown. Here we unveil, by the…

Materials Science · Physics 2023-09-01 Heng Jin , Bing Huang

We propose a simple one-dimensional spin-2 Hamiltonian, which exhibits two topologically distinct valence bond solid states in different exactly solvable limits. We then construct the phase diagram and study the quantum phase transition…

Strongly Correlated Electrons · Physics 2011-01-17 Dong Zheng , Guang-Ming Zhang , Tao Xiang , Dung-Hai Lee
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