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Quantum materials exhibiting magnetic frustration are connected to diverse phenomena including high-Tc superconductivity, topological order and quantum spin liquids (QSLs). A QSL is a quantum phase (QP) related to a quantum-entangled…

强关联电子 · 物理学 2021-08-03 Samuel Mañas-Valero , Benjamin Huddart , Tom Lancaster , Eugenio Coronado , Francis Pratt

We investigate the $J_1$-$J_2$ Heisenberg model on the triangular lattice with an additional scalar chirality term and show that a chiral spin liquid is stabilized in a sizeable region of the phase diagram. This topological phase is…

强关联电子 · 物理学 2017-02-01 Alexander Wietek , Andreas M. Läuchli

Emergent quasiparticles with a Dirac dispersion in condensed matter systems can be described by the Dirac equation for relativistic electrons, in analogy with Dirac particles in high-energy physics. For example, electrons with a Dirac…

The parton approach for quantum spin liquids gives a transparent description of low-energy elementary excitations, e.g., spinons and emergent gauge-field fluctuations. The latter ones are directly coupled to the hopping/pairing of spinons.…

强关联电子 · 物理学 2023-11-27 Sasank Budaraju , Yasir Iqbal , Federico Becca , Didier Poilblanc

We investigate the spin-$\frac{1}{2}$ nearest-neighber Heisenberg model with the four-site ring-exchange $J_4$ and chiral interaction $J_\chi$ on the triangular lattice by using the variational Monte Carlo method. The $J_4$ term induces the…

强关联电子 · 物理学 2024-09-16 Li-Wei He , Jian-Xin Li

We study fermionic quantum spin liquids (QSLs) on the three-dimensonal trillium lattice of corner-sharing triangles. We are motivated by recent experimental and theoretical investigations that have explored various classical and quantum…

强关联电子 · 物理学 2024-09-05 Ming-Hao Li , Sounak Biswas , S. A. Parameswaran

Quantum spin liquids (QSLs) are long-range entangled states of quantum magnets which lie beyond the Landau paradigm of classifying phases of matter via broken symmetries. A physical route to arriving at QSLs is via frustration-induced…

强关联电子 · 物理学 2017-09-20 Ciarán Hickey , Lukasz Cincio , Zlatko Papić , Arun Paramekanti

We report variational Monte Carlo calculations for the spin-$\frac{1}{2}$ Heisenberg model on the kagome lattice in the presence of both nearest-neighbor $J_1$ and next-nearest-neighbor $J_2$ antiferromagnetic superexchange couplings. Our…

强关联电子 · 物理学 2015-01-13 Yasir Iqbal , Didier Poilblanc , Federico Becca

Quantum spin liquid represents an intriguing state where electron spins are highly entangled yet spin fluctuation persists even at 0 K. Recently, the hexaaluminates \textit{R}MgAl$_{11}$O$_{19}$ (\textit{R} = rare earth) have been proposed…

The nontrivialness of quantum spin liquid (QSL) typically manifests in the non-local observables that signifies their existence, however, this fact actually casts shadow on detecting QSL with experimentally accessible probes. Here, we…

强关联电子 · 物理学 2018-08-22 Guang Yu Sun , Yan-Cheng Wang , Chen Fang , Yang Qi , Meng Cheng , Zi Yang Meng

Classical spin liquids (CSLs) are intriguing states of matter that do not exhibit long-range magnetic order and are characterized by an extensive ground-state degeneracy. Adding quantum fluctuations, which induce dynamics between these…

强关联电子 · 物理学 2025-02-12 Duyu Chen , Rhine Samajdar , Yang Jiao , Salvatore Torquato

We investigate the spin-$\frac{1}{2}$ Heisenberg model on the triangular lattice in the presence of nearest-neighbor $J_1$ and next-nearest-neighbor $J_2$ antiferromagnetic couplings. Motivated by recent findings from density-matrix…

强关联电子 · 物理学 2016-04-12 Yasir Iqbal , Wen-Jun Hu , Ronny Thomale , Didier Poilblanc , Federico Becca

The layered triangular lattice owing to $1:2$ order of $B$ and $B'$ sites in the triple perovskite $A_3 B B'_2$O$_9$ family provides an enticing domain for exploring the complex phenomena of quantum spin liquids (QSLs). We report a…

强关联电子 · 物理学 2024-08-07 K. Bhattacharya , S. Mohanty , A. D. Hillier , M. T. F. Telling , R. Nath , M. Majumder

The algebraic spin liquid is a long-sought-after phase of matter characterized by the absence of quasiparticle excitations, a low-energy description in terms of emergent Dirac fermions and gauge fields interacting according to (2+1)D…

强关联电子 · 物理学 2019-12-20 Nikolai Zerf , Rufus Boyack , Peter Marquard , John A. Gracey , Joseph Maciejko

We report that a possible Z2 quantum spin liquid (QSL) can be observed in a new class of frustrated system: spinor bosons subject to a pi flux in a square lattice. We construct a new class of Ginsburg-Landau (GL) type of effective action to…

强关联电子 · 物理学 2020-05-12 Fadi Sun , Jinwu Ye

A key characteristic of quantum spin liquids(QSL) is the presence of fractional excitations related to their entanglement properties, yet experimental verification of their statistics is missing. For example, in the potential Kitaev spin…

We perform highly accurate density matrix renormalization group (DMRG) simulations to investigate the ground state properties of the spin-1/2 antiferromagnetic square lattice Heisenberg $J_1$-$J_2$ model. Based on studies of numerous long…

强关联电子 · 物理学 2012-07-20 Hong-Chen Jiang , Hong Yao , Leon Balents

Frustration driven quantum fluctuation leads to many exotic phases in the ground state and study of these quantum phase transitions is one of the most challenging areas of research in condensed matter physics. Here, a frustrated Heisenberg…

强关联电子 · 物理学 2022-02-02 Sk Saniur Rahaman , Sumit Haldar , Manoranjan Kumar

A quantum spin liquid is an exotic quantum state of matter in which spins are highly entangled and remain disordered down to zero temperature. Such a state of matter is potentially relevant to high-temperature superconductivity and…

Quantum spin liquids (QSLs) are highly entangled ground states of insulating spin systems, in which magnetic ordering is prevented down to the lowest temperatures due to quantum fluctuations. One of the most extraordinary characteristics of…

强关联电子 · 物理学 2024-01-22 So Takei , Yaroslav Tserkovnyak