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We investigate the continuous quantum phase transition from an antiferromagnetic metal to a heavy fermion liquid based on the Kondo lattice model in two dimensions. We propose that antiferromagnetic spin fluctuations and conduction…

Strongly Correlated Electrons · Physics 2016-08-31 Ki-Seok Kim

We study the stability of the 2+1 dimensional U(1) spin liquid state against proliferation of instantons in the presence of spinon Fermi surface. By mapping the spinon Fermi surface into an infinite set of 1+1 dimensional chiral fermions,…

Strongly Correlated Electrons · Physics 2008-08-26 Sung-Sik Lee

Elementary particles such as the electron carry several quantum numbers, for example, charge and spin. However, in an ensemble of strongly interacting particles, the emerging degrees of freedom can fundamentally differ from those of the…

We study analytically the Kondo lattice model with an additional nearest-neighbor antiferromagnetic interaction in the framework of large-N theory. We find that there is a local quantum critical point between two phases, a normal…

Strongly Correlated Electrons · Physics 2009-11-07 S. Burdin , M. Grilli , D. R. Grempel

In this work we study the possible occurrence of topological insulators for 2D fermions of high spin. They can be realized in cold fermion systems with ground-state atomic spin $F>\tfrac{1}{2}$, if the optical potential is properly…

Strongly Correlated Electrons · Physics 2018-10-31 Igor Kuzmenko , Tetyana Kuzmenko , Yshai Avishai , Masatoshi Sato

A novel approach to S =1/2 antiferromagnets with strong fluctuations based on the representation of spin-1/2 operators as bylinear forms of real (Majorana) fermions is suggested. This representation has the advantage of being irreducible…

Condensed Matter · Physics 2009-10-22 A. M. Tsvelik

Conventionally ordered magnets possess bosonic elementary excitations, called magnons. By contrast, no magnetic insulators in more than one dimension are known whose excitations are not bosons but fermions. Theoretically, some quantum spin…

Strongly Correlated Electrons · Physics 2016-07-06 J. Nasu , J. Knolle , D. L. Kovrizhin , Y. Motome , R. Moessner

A recent article [Phys. Rev. X 15, 011047 (2025)] utilizes group-equivariant convolutional neural networks to study the ground state of the kagome Heisenberg antiferromagnet. On the largest finite-size cluster studied to date ($N=108$), the…

Strongly Correlated Electrons · Physics 2026-05-29 Helia Kamal , Dominik Kufel , DinhDuy Vu , Chris R. Laumann , Norman Y. Yao

We study the dynamic spin structure factor of the spin-$1/2$ square-lattice Heisenberg antiferromagnet and of the $J$-$Q$ model (with 4-spin interactions $Q$ and Heisenberg exchange $J$). Using an improved method for stochastic analytic…

Strongly Correlated Electrons · Physics 2018-01-03 Hui Shao , Yan Qi Qin , Sylvain Capponi , Stefano Chesi , Zi Yang Meng , Anders W. Sandvik

The ground-state ordering and dynamics of the two-dimensional (2D) S=1/2 frustrated Heisenberg antiferromagnet Cs_2CuCl_4 is explored using neutron scattering in high magnetic fields. We find that the dynamic correlations show a highly…

Strongly Correlated Electrons · Physics 2007-05-23 R. Coldea , D. A. Tennant , A. M. Tsvelik , Z. Tylczynski

The theory of a spinor field interacting with a pure Chern-Simons gauge field in 2+1 dimensions is quantized. Dynamical and nondynamical variables are separated in a gauge-independent way. After the nondynamical variables are dropped, this…

High Energy Physics - Theory · Physics 2018-01-17 Qiong-gui Lin

We explore the ground-state physics of two-dimensional spin-$1/2$ $U(1)$ quantum link models, one of the simplest non-trivial lattice gauge theories with fermionic matter within experimental reach for quantum simulations. Whereas in the…

Quantum Gases · Physics 2020-04-01 Lorenzo Cardarelli , Sebastian Greschner , Luis Santos

Fermion boundary conditions play a relevant role in revealing the confinement mechanism of N=1 supersymmetric Yang-Mills theory with one compactified space-time dimension. A deconfinement phase transition occurs for a sufficiently small…

High Energy Physics - Lattice · Physics 2015-06-23 G. Bergner , S. Piemonte

We revisit the fermionic parton approach to S = 1/2 quantum spin liquids with SU(2) spin rotation symmetry, and the associated projective symmetry group (PSG) classification. We point out that the existing PSG classification is incomplete;…

Strongly Correlated Electrons · Physics 2012-03-19 Gang Chen , Andrew Essin , Michael Hermele

The compact U(1) gauge field occurs in many fractionalized descriptions of low dimensional quantum magnetism and heavy fermion systems. In this respect a fundamental question about the gauge field is whether it is confined or not in the…

Strongly Correlated Electrons · Physics 2012-04-23 Yin Zhong , Ke Liu , Yong-Qiang Wang , Hong-Gang Luo

Correlations in systems with spin degree of freedom are at the heart of fundamental phenomena, ranging from magnetism to superconductivity. The effects of correlations depend strongly on dimensionality, a striking example being…

At sufficiently low temperatures, condensed-matter systems tend to develop order. An exception are quantum spin-liquids, where fluctuations prevent a transition to an ordered state down to the lowest temperatures. While such states are…

Strongly Correlated Electrons · Physics 2010-04-15 Z. Y. Meng , T. C. Lang , S. Wessel , F. F. Assaad , A. Muramatsu

The phase diagram of spin-3/2 fermionic cold atoms trapped in a one-dimensional optical lattice is investigated at quarter filling (one atom per site) by means of large-scale numerical simulations. In full agreement with a recent low-energy…

Strongly Correlated Electrons · Physics 2007-05-23 S. Capponi , G. Roux , P. Azaria , E. Boulat , P. Lecheminant

Quantum spin liquids are exotic states of matter that may be realized in frustrated quantum magnets and feature fractionalized excitations and emergent gauge fields. Here, we consider a gapless U(1) spin liquid with spinon Fermi pockets in…

Strongly Correlated Electrons · Physics 2021-10-25 Wilhelm G. F. Krüger , Lukas Janssen

In this paper we generalize the fermionic representation for $S=1/2$ spins to arbitrary spins. Within a mean field theory we obtain several spin liquid states for spin $S=1$ antiferromagnets on triangular lattices, including gapless f-wave…

Strongly Correlated Electrons · Physics 2010-06-11 Zheng-Xin Liu , Yi Zhou , Tai-Kai Ng