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The quantum antiferromagnet on the pyrochlore lattice offers an archetypal frustrated system, which potentially realizes a quantum spin liquid characterized by the absence of standard spontaneous symmetry breaking even at zero temperature,…

Strongly Correlated Electrons · Physics 2023-11-21 Rico Pohle , Youhei Yamaji , Masatoshi Imada

The phase diagram of the two-channel Kondo lattice model is examined with a Quantum Monte Carlo simulation in the limit of infinite dimensions. Commensurate (and incommensurate) antiferromagnetic and superconducting states are found. The…

Condensed Matter · Physics 2009-10-28 Mark Jarrell , Hanbin Pang , D. L. Cox

On a lattice composed of triangular plaquettes where antiferromagnetic exchange interactions between localized spins cannot be simultaneously satisfied, the system becomes geometrically frustrated with magnetically disordered phases…

We show that a classical spin liquid phase can emerge from an ordered magnetic state in the two-dimensional frustrated Shastry-Sutherland Ising lattice due to lateral confinement. Two distinct classical spin liquid states are stabilized (i)…

Statistical Mechanics · Physics 2023-10-11 Pratik Brahma , Sayeef Salahuddin

We study the spin-$1/2$ Heisenberg model on the triangular lattice with the antiferromagnetic first ($J_1$) and second ($J_2$) nearest-neighbor interactions using density matrix renormalization group. By studying the spin correlation…

Strongly Correlated Electrons · Physics 2015-10-07 Wen-Jun Hu , Shou-Shu Gong , Wei Zhu , D. N. Sheng

We consider the phase diagram of the most general SU(4)-symmetric two-site Hamiltonian for a system of two fermions per site (ie self-conjugate $\bf 6$ representation) on the square lattice. It is known that this model hosts magnetic phases…

Strongly Correlated Electrons · Physics 2020-10-27 Olivier Gauthé , Sylvain Capponi , Matthieu Mambrini , Didier Poilblanc

Stabilizing exotic quantum phases of matter, e.g. spin liquid, is an attractive topic in condensed matter. Here, by a Monte Carlo study of a two-orbital spin-fermion model on a honeycomb lattice, we show the cooperative effects of the…

Strongly Correlated Electrons · Physics 2025-01-13 Kaidi Xu , Shan-Shan Wang , Rong Yu , Shuai Dong

We study the quantum phase transition between the $Z_2$ spin liquid and valence bond solid (VBS) orders on a triangular lattice. With a fully isotropic triangular lattice, the transition from a columnar or resonating-plaquette VBS order can…

Strongly Correlated Electrons · Physics 2015-06-16 Kevin Slagle , Cenke Xu

A complicating factor in the realization and observation of quantum spin liquids in materials is the ubiquitous presence of other degrees of freedom, in particular lattice distortion modes (phonons). These provide additional routes for…

Strongly Correlated Electrons · Physics 2024-08-20 Urban F. P. Seifert , Josef Willsher , Markus Drescher , Frank Pollmann , Johannes Knolle

Quantum spin liquids are a new class of magnetic ground state in which spins are quantum mechanically entangled over macroscopic scales. Motivated by recent advances in the control of polar molecules, we show that dipolar interactions…

Strongly Correlated Electrons · Physics 2018-04-23 Norman Y. Yao , Michael P. Zaletel , Dan M. Stamper-Kurn , Ashvin Vishwanath

Quantum spin liquids (QSLs) represent highly entangled states of matter in which frustration-induced quantum fluctuations suppress any symmetry-breaking phase transition down to absolute zero, giving rise to fractionalized excitations and…

The S=1/2 and S=1 two-dimensional quantum Heisenberg antiferromagnets on the anisotropic dimerized square lattice are investigated by the quantum Monte Carlo method. By finite-size-scaling analyses on the correlation lengths, the…

Strongly Correlated Electrons · Physics 2009-11-07 Munehisa Matsumoto , Chitoshi Yasuda , Synge Todo , Hajime Takayama

Although spin is a fundamental quantum number, measuring spin transport in traditional solid state systems is extremely challenging. This poses a major obstacle to detecting interesting quantum states including certain spin liquids. In this…

Strongly Correlated Electrons · Physics 2020-05-28 Ya-Hui Zhang , Ashvin Vishwanath

We show that several distinct broken-symmetry phases in a spin-1/2 anti-ferromagnet on a square lattice with easy-plane anisotropy, including valence bond solid, chiral spin liquid, and the XY-ordered state, can all be accessed by…

Strongly Correlated Electrons · Physics 2022-05-03 Oğuz Türker , Kun Yang

We show anisotropy of the dipole interaction between magnetic atoms or polar molecules can stabilize new quantum phases in an optical lattice. Using a well controlled numerical method based on the tensor network algorithm, we calculate…

Quantum Gases · Physics 2013-05-29 Y. -H. Chan , Y. -J. Han , L. -M. Duan

Quantum antiferromagnets on geometrically frustrated lattices have long attracted interest for the formation of quantum disordered states and the possible emergence of quantum spin liquid (QSL) ground states. Here we turn to the…

Strongly Correlated Electrons · Physics 2023-12-21 Lasse Gresista , Ciarán Hickey , Simon Trebst , Yasir Iqbal

A multichannel Kondo system, where a single quantum spin couples to multiple channels of an electronic bath, provides one of the simplest examples of a zero-dimensional non-Fermi liquid. It is natural to ask: what happens when an extensive…

Strongly Correlated Electrons · Physics 2025-10-24 Simon Martin , Marcin Raczkowski , Fakher F. Assaad , Tarun Grover

We explore spin-1/2 triangular antiferromagnets with both easy-plane and lattice exchange anisotropies by employing a dual vortex mapping followed by a fermionization of the vortices. Over a broad range of exchange anisotropy, this approach…

Strongly Correlated Electrons · Physics 2009-11-11 Jason Alicea , Olexei I. Motrunich , Matthew P. A. Fisher

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 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