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We perform an extensive density matrix renormalization group (DMRG) study of the ground-state phase diagram of the spin-1/2 J_1-J_2 Heisenberg model on the kagome lattice. We focus on the region of the phase diagram around the kagome…

Strongly Correlated Electrons · Physics 2015-03-26 Fabian Kolley , Stefan Depenbrock , Ian P. McCulloch , Ulrich Schollwöck , Vincenzo Alba

Quantum paramagnets are strongly-correlated phases of matter where competing interactions frustrate magnetic order down to zero temperature. In certain cases, quantum fluctuations induce instead topological order, supporting, in particular,…

Quantum Gases · Physics 2022-01-19 Daniel González-Cuadra

We investigate the two-dimensional frustrated quantum Heisenberg model with bond disorder on nearest-neighbor couplings using the recently introduced Foundation Neural-Network Quantum States framework, which enables accurate and efficient…

Iron chalcogenides display a rich variety of electronic orders in their phase diagram. A particularly enigmatic case is FeTe, a metal which possesses co-existing hole and electron Fermi surfaces as in the iron pnictides but has a distinct…

Strongly Correlated Electrons · Physics 2016-08-30 Hsin-Hua Lai , Shou-Shu Gong , Wen-Jun Hu , Qimiao Si

The spin-1/2 Heisenberg model on the pyrochlore lattice is an iconic frustrated three-dimensional spin system with a rich phase diagram. Besides hosting several ordered phases, the model is debated to possess a spin-liquid ground state when…

Strongly Correlated Electrons · Physics 2021-11-16 Nikita Astrakhantsev , Tom Westerhout , Apoorv Tiwari , Kenny Choo , Ao Chen , Mark H. Fischer , Giuseppe Carleo , Titus Neupert

We study the spin-1/2 Heisenberg model in a lattice that interpolates between the triangular and the kagome lattices. The exchange interaction along the bonds of the kagome lattice is J, and the one along the bonds connecting kagome and…

Strongly Correlated Electrons · Physics 2009-11-10 Liliana Arrachea , Luca Capriotti , Sandro Sorella

We give a general condition for a discrete spin system with nearest-neighbor interactions on the $\mathbb{Z}^d$ lattice to exhibit long-range order. The condition is applicable to systems with residual entropy in which the long-range order…

Statistical Mechanics · Physics 2018-01-03 Ron Peled , Yinon Spinka

Discovery of new states of matter is a key objective in modern condensed matter physics, which often leads to revolutionary technological advancements such as superconductivity. Quantum spin nematic, a ``hidden order'' that evades…

Using the coupled cluster method for high orders of approximation and Lanczos exact diagonalization we study the ground-state phase diagram of a quantum spin-1/2 J1-J2 model on the square lattice with plaquette structure. We consider…

Strongly Correlated Electrons · Physics 2015-06-05 O. Götze , S. E. Krüger , F. Fleck , J. Schulenburg , J. Richter

We analyze instabilities of the collinear up-up-down state of a two-dimensional quantum spin-S spatially anisotropic triangular lattice antiferromagnet in a magnetic field. We find, within large-S approximation, that near the end point of…

Strongly Correlated Electrons · Physics 2013-08-20 Andrey V. Chubukov , Oleg A. Starykh

We study numerically the one-dimensional ferromagnetic Kondo lattice. This model is widely used to describe nickel and manganese perovskites. Due to the competition between double and super-exchange, we find a region where the formation of…

Strongly Correlated Electrons · Physics 2009-11-10 D. J. Garcia , K. Hallberg , C. D. Batista , S. Capponi , D. Poilblanc , M. Avignon , B. Alascio

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

An investigation of the N\'eel Long Range Order (NLRO) in the ground state of antiferromagnetic Heisenberg spin system on the two-dimensional, uniform, bipartite lattice consisting of squares, hexagons and dodecagons is presented. Basing on…

Statistical Mechanics · Physics 2009-11-07 P. Tomczak , J. Schulenburg , J. Richter , A. R. Ferchmin

We present an algebraic framework for identifying the order parameter and the possible phases of quantum systems that is based on identifying the local dimension $N$ of the quantum operators and using the SU(N) group representing the…

Strongly Correlated Electrons · Physics 2009-11-07 C. D. Batista , G. Ortiz , J. E. Gubernatis

Frustration in quantum spin systems promote a variety of novel quantum phases. An important example is the frustrated spin-$1$ model on the square lattice with the nearest-neighbor bilinear ($J_1$) and biquadratic ($K_1$) interactions. We…

Strongly Correlated Electrons · Physics 2019-11-06 Wen-Jun Hu , Shou-Shu Gong , Hsin-Hua Lai , Haoyu Hu , Qimiao Si , Andriy H. Nevidomskyy

We investigate quantum phase transitions for the $s=1/2$ antiferromagnetic Heisenberg model on a pyrochlore lattice. By means of a series expansion starting from isolated tetrahedra, the ground-state phase diagram is determined. When the…

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

The majority of recent works devoted to spin nematic phases deal with either frustrated magnets or with those described by Hamiltonians with large non-Heisenberg terms. We show in the present study that nonfrustrated antiferromagnets (AFs)…

Strongly Correlated Electrons · Physics 2013-04-22 Alexey Sizanov , Arseny Syromyatnikov

The Schwinger boson theory provides a natural path for treating quantum spin systems with large quantum fluctuations. In contrast to semi-classical treatments, this theory allows us to describe a continuous transition between magnetically…

Strongly Correlated Electrons · Physics 2022-06-22 Shang-Shun Zhang , E. A. Ghioldi , L. O. Manuel , A. E. Trumper , Cristian D. Batista

Solid state systems derive their richness from the interplay between interparticle interactions and novel band structures that deviate from those of free particles. Strongly interacting systems, where both of these phenomena are of equal…

Quantum Gases · Physics 2013-12-04 Colin V. Parker , Li-Chung Ha , Cheng Chin

Previous studies of the $S=1/2$ triangular-lattice $J_1$--$J_2$ Heisenberg antiferromagnet have inferred the existence of a non-magnetic ground-state phase for an intermediate range of $J_2$, but disagree concerning whether it is a gapped…

Strongly Correlated Electrons · Physics 2026-02-17 Shengtao Jiang , Steven R. White , Steven A. Kivelson , Hong-Chen Jiang