Bulletin of the American Physical Society
APS March Meeting 2017
Volume 62, Number 4
Monday–Friday, March 13–17, 2017; New Orleans, Louisiana
Session V48: Frustrated Magnetism: Spin LiquidsFocus

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Sponsoring Units: GMAG DMP Chair: YingJer Kao, National Taiwan University Room: 395 
Thursday, March 16, 2017 2:30PM  2:42PM 
V48.00001: Abstract Withdrawn

Thursday, March 16, 2017 2:42PM  2:54PM 
V48.00002: Symmetry enriched U(1) quantum spin liquids Liujun Zou, Chong Wang, T. Senthil We classify and characterize three dimensional U(1) quantum spin liquids (deconfined U(1) gauge theories) with time reversal and SO(3) spin rotational symmetries. We find there are 15 distinct such quantum spin liquids based on the properties of bulk excitations, and we show how to interpret them as gauged symmetryprotected topological states (SPTs). By examining the properties of the monopoles of an SO(3) gauge field to which the quantum spin liquid can couple, we identify 11 other anomalous states that can be categorized into 3 classes. When the surface properties of these quantum spin liquids are also of interests, the classification is further enriched by weakly coupling these quantum spin liquids to bosonic SPTs with the same symmetry. Taking this into account, we find all distinct such U(1) quantum spin liquids. [Preview Abstract] 
Thursday, March 16, 2017 2:54PM  3:06PM 
V48.00003: Influence of quantum phase transition and spin superconductivity in quantum twodimensional frustrated Heisenberg antiferromagnets Leonardo dos Santos Lima We use the Self Consistent Harmonic Approximation, the SU(2) and SU(3) Schwinger boson formalisms together with the Kubo formalism of the Linear Response Theory for the spin transport to study the influence of quantum phase transition (QTP) on spin transport in quantum twodimensional frustrated Heisenberg antiferromagnets. The regular part of the spin conductivity, $\sigma^{\mathrm{reg(}}(\omega )$ , is determined near and far of the critical points of the phase diagram for some twodimensional frustrated antiferromagnets in the square, triangular and honeycomb lattices or where the system presents quantum phase transitions . We have verified an influence of QTP on the spin transport in all systems. We also have obtained a superconductor behavior for the spin transport (ideal spin current), in the DC limit in these n different types of frustrated spin systems. [Preview Abstract] 
Thursday, March 16, 2017 3:06PM  3:18PM 
V48.00004: Emergence of a 2d macrospin liquid in a highly frustrated 3d quantum magnet Tycho Sikkenk, Kris Coester, Stefan Buhrandt, Lars Fritz, Kai Schmidt The classical Ising model on the frustrated 3d swedenborgite lattice has disordered spin liquid ground states for all ratios of inter and intraplanar couplings. Quantum fluctuations due to a transverse field give rise to several exotic phenomena. In the limit of weakly coupled kagome layers we find a 3d version of disorder by disorder degeneracy lifting. For large outofplane couplings 1d macrospins are formed, which realize a disordered macrospin liquid phase on an emerging 2d triangular lattice. We speculate about a possibly exotic version of quantum criticality that connects the polarized phase to the macrospin liquid. [Preview Abstract] 
Thursday, March 16, 2017 3:18PM  3:30PM 
V48.00005: FiniteTemperature Signatures of Spin Liquids in Frustrated Hubbard Model Takahiro Misawa, Youhei Yamaji The search for the quantum spin liquid, which is a new state of matter, has been one of the main subjects in recent condensed matter physics. Although the quantum spinliquid ground states have been proposed in theoretical models and frustrated magnets, it is still under hot debate how to characterize the quantum spin liquid, because they do not have clear order parameters. Furthermore, to detect the quantum spin liquid in experiment, it is important to clarify the finitetemperature properties of the quantum spin liquid. In this presentation, we show clear and convincing finitetemperature signatures of the quantum spin liquids in the frustrated Hubbard model [1] by using recently proposed thermal pure quantum state [2]. This method enables us to study the frustrated Hubbard model without any approximations. We also propose that the remaining entropy at moderately high temperatures offers a useful criterion to judge whether system has chance to become the quantum spin liquid. [1] T. Misawa and Y. Yamaji, arXiv:1608.09006. [2] S. Sugiura and A. Shimizu, Phys. Rev. Lett. 108, 240401 (2012). [Preview Abstract] 
Thursday, March 16, 2017 3:30PM  3:42PM 
V48.00006: Quantum phases of SU(N) spins on a diamond lattice Nisheeta Desai, Jonathan Demidio, Ribhu Kaul We study the SU(N) generalization of the Heisenberg antiferromagnet on the diamond lattice. We use the stochastic series expansion QMC method to compute properties of and hence deduce the ground states of the model as we vary N. We find that the magnetic order present for N=2 is destroyed for all N$>$9. The nature of the nonmagnetic state is studied paying particular attention to the nature of valence bond solid ordering and the possibility of a quantum spin liquid. The nature of the phase transition between different phases is investigated. [Preview Abstract] 
Thursday, March 16, 2017 3:42PM  3:54PM 
V48.00007: A nonmagnetic liquid with nematicity in the spin1 $SU(3)$ Heisenberg model on the square lattice Wenjun Hu, Shoushu Gong, HsinHua Lai, Andriy H. Nevidomskyy We study the spin1 $SU(3)$ Heisenberg model with the nearestneighbor bilinear and biquadratic interactions on the square lattice by using the largescale density matrix renormalization group. By calculating spin and quadrupolar order parameters on the cylinder geometry up to system width $L_y = 9$, we find many competing peaks of structure factor at different momenta including the threesublattice magnetic order proposed by previous studies. However, through appropriate extrapolation on large system size, all the spin and quadrupolar orders are scaled to zero. Surprisingly, we also find a finite lattice nematicity that characterizes a spontaneous lattice $C_4$ symmetry breaking. Our results exclude the threesublattice magnetic order, and reveal a nonmagnetic liquid with nematicity in the vinicity of the highly competing $SU(3$) point. We further discuss this new quantum phase by analyzing the lowenergy excitations and by considering different perturbations on the $SU(3)$ model. [Preview Abstract] 
Thursday, March 16, 2017 3:54PM  4:06PM 
V48.00008: Dynamical TimeReversal Symmetry Breaking and PhotoInduced Chiral Spin Liquid in Frustrated Mott Insulators Martin Claassen, HongChen Jiang, Brian Moritz, Thomas Devereaux Spurred by recent progress in melting, enhancement and induction of electronic order out of equilibrium, a tantalizing prospect concerns instead accessing transient Floquet steady states via broad pump pulses, to manipulate band topology and affect electronic transport. Here, we extend these ideas to stronglycorrelated systems and show that pumping frustrated Mott insulators with circularlypolarized light can drive the effective spin system across a phase transition to a chiral spin liquid (CSL). Starting from a Kagome Hubbard model deep in the Mott phase, circular polarization promotes a scalar spin chirality $\mathbf{S}_i \cdot (\mathbf{S}_j \times \mathbf{S}_k)$ term directly to the Hamiltonian level, dynamically breaking timereversal while preserving SU(2) spin symmetry. We find that the transient physics is wellcaptured by an effective Floquet spin model, fingerprint its phase diagram, and find a stable photoinduced CSL in close proximity to the equilibrium state. The results presented suggest a new avenue of employing dynamical symmetry breaking to engineer quantum spin liquids and access elusive phase transitions that are not readily accessible in equilibrium. [Preview Abstract] 
Thursday, March 16, 2017 4:06PM  4:18PM 
V48.00009: Understanding the Emergence of Chiral Spin Liquids in Mott Insulators Ciaran Hickey, Lukasz Cincio, Zlatko Papic, Arun Paramekanti There has been a resurgence of interest recently in chiral spin liquids (CSLs), topologically ordered states of matter with gapped semion excitations. A number of different SU(2) invariant spin models have numerically been shown to harbor CSL ground states. However our understanding of how and why these states emerge is still lacking. One particularly intuitive mechanism is that these CSLs arise as "quantumdisordered" descendants of certain noncoplanar magnetic parent states. We will provide evidence supporting such a mechanism on a variety of 2d lattice geometries, uniting many of the CSLs found so far under a common framework. [Preview Abstract] 
Thursday, March 16, 2017 4:18PM  4:30PM 
V48.00010: Entanglement entropy scaling of composite Fermi liquids, Bose metals, and nonFermi liquids on the lattice Ryan V. Mishmash, Olexei I. Motrunich Quantum phases characterized by surfaces of gapless excitations in momentum space are known to violate the otherwise ubiquitous boundary law of entanglement entropy in the form of a multiplicative log correction: $S\sim L^{d1} \log L$. Using variational Monte Carlo, we calculate the second R\'enyi entropy for a model wavefunction of the $\nu=1/2$ composite Fermi liquid (CFL) state defined on the twodimensional triangular lattice. By carefully studying the scaling of the total R\'enyi entropy and, crucially, its contributions from the modulus and sign of the wavefunction on various finitesize geometries, we argue that the prefactor of the leading $L \log L$ term is equivalent to that in the analogous free fermion wavefunction. We thus conclude that the ``Widom formula'' likely holds even in this nonFermi liquid CFL state. Furthermore, we calculate and analyze the entanglement entropy scaling of various other U(1) Bose metal and nonFermi liquid states built from fermionic slave particles with Fermi surfaces. Overall, our results further elucidateand place on a more quantitative footingthe relationship between nontrivial wavefunction sign structure and $S\sim L \log L$ entanglement scaling in such highly entangled gapless phases. [Preview Abstract] 
Thursday, March 16, 2017 4:30PM  4:42PM 
V48.00011: Topological Bootstrap: Fractionalization From Kondo Coupling Timothy Hsieh, YuanMing Lu, Andreas Ludwig We propose a route toward realizing fractionalized topological phases of matter (i.e. with in trinsic topological order) by literally building on unfractionalized phases. Our approach employs a Kondo lattice model in which a gapped electronic system of noninteracting fermions is coupled to noninteracting local moments via the exchange interaction. Using general entanglementbased arguments and explicit lattice models, we show that in this way gapped spin liquids can be induced in the spin system. We demonstrate the power of this ``topological bootstrap'' concept with two examples: (1) a chiral spin liquid induced by a Chern insulator and (2) a Z$_{\mathrm{2\thinspace }}$spin liquid induced by a superconductor. In particular, in the latter example, the toric code is realized as an exactly solvable example of topological bootstrap. Our approach can be generalized to all lattices, higher dimensions, and nonabelian topological orders. [Preview Abstract] 
Thursday, March 16, 2017 4:42PM  4:54PM 
V48.00012: Interplay of quantum criticality and frustration in spinorbital liquids SungBin Lee Motivated by recent experiment, we discuss new types of spinorbital liquid phase. Interplay of quantum criticality and magnetic frustration can induce unique quantum phases and we discuss their phase transitions out of spinorbital liquid phase. [Preview Abstract] 
Thursday, March 16, 2017 4:54PM  5:06PM 
V48.00013: Topological Spin Liquid with SymmetryProtected Edge States Yancheng Wang, Yang Qi, Meng Cheng, Chen Fang, Zi Yang Meng Topological quantum spin liquids are topological state of matter with longrange entanglement encoded into the system. Yet direct observation of it is difficult and require nontrivial theoretical probe that do not have simple and transparent experimental correspondence. Here, we find way to bridge the gap between the fundamental feature of topological spin liquid and realistic experimental observation of it. We demonstrate, both theoretically and numerically, that the symmetry fractionalization of a $Z_2$ gapped spin liquid on a Kagome lattice protects gapless modes on a symmetric edge, i. e., the edge remains gapless as long as certain symmetries are preserved and the bulk gap is open. We hence propose that experimental observations of the edge modes in turn would confirm the existence of the symmetry enriched topological order. Our work opens the avenue of realistic and robust experimental detection of the seemingly ephemeral yet ubiquitous physics of topological spin liquids, including the manifestation of topological order, symmetry fractionalization and symmetry enriched topological phase. [Preview Abstract] 
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