{"title":"Electronic and magnetic properties of iridium ilmenites $A$IrO$_3$ ($A=$ Mg, Zn, and Mn).","authors":"Seong-Hoon Jang, Y. Motome","doi":"10.1103/PhysRevMaterials.5.104409","DOIUrl":"https://doi.org/10.1103/PhysRevMaterials.5.104409","url":null,"abstract":"We theoretically investigate the electronic band structures and magnetic properties of ilmenites with edge-sharing IrO$_6$ honeycomb layers, $A$IrO$_3$ with $A=$ Mg, Zn, and Mn, in comparison with a collinear antiferromagnet MnTiO$_3$. The compounds with $A=$ Mg and Zn were recently reported in Y.~Haraguchi {it et al.}, Phys. Rev. Materials {bf 2}, 054411 (2018), while MnIrO$_3$ has not been synthesized yet but the honeycomb stacking structure was elaborated in a superlattice with MnTiO$_3$ in K.~Miura {it et al.}, Commun. Mater. {bf 1}, 55 (2020). We find that, in contrast to MnTiO$_3$, where an energy gap opens in the Ti $3d$ bands by antiferromagnetic ordering of the high-spin $S=5/2$ moments, MgIrO$_3$ and ZnIrO$_3$ have a gap in the Ir $5d$ bands under the influence of both spin-orbit coupling and electron correlation. Their electronic structures are similar to those in the spin-orbit coupled Mott insulators with the $j_{rm eff}=1/2$ pseudospin degree of freedom, as found in monoclinic $A_2$IrO$_3$ with $A=$ Na and Li which have been studied as candidates for the Kitaev spin liquid. Indeed, we find that the effective exchange interactions between the $j_{rm eff}=1/2$ pseudospins are dominated by the Kitaev-type bond-dependent interaction and the symmetric off-diagonal interactions. On the other hand, for MnIrO$_3$, we show that the local lattice structure is largely deformed, and both Mn $3d$ and Ir $5d$ bands appear near the Fermi level in a complicated manner, which makes the electronic and magnetic properties qualitatively different from MgIrO$_3$ and ZnIrO$_3$. Our results indicate that the IrO$_6$ honeycomb network in the ilmenites $A$IrO$_3$ with $A=$ Mg and Zn would offer a good platform for exotic magnetism by the spin-orbital entangled moments like the Kitaev spin liquid.","PeriodicalId":8511,"journal":{"name":"arXiv: Strongly Correlated Electrons","volume":"51 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91170532","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Landau-Fermi liquids in disguise","authors":"M. Fabrizio","doi":"10.21203/RS.3.RS-569113/V1","DOIUrl":"https://doi.org/10.21203/RS.3.RS-569113/V1","url":null,"abstract":"\u0000 In periodic systems of interacting electrons, Fermi and Luttinger surfaces refer to the locations within the Brillouin zone of poles and zeros, respectively, of the single-particle Green's function at zero energy and temperature. Such difference in analytic properties underlies the emergence of well-defined quasiparticles close to a Fermi surface, in contrast to their supposed non-existence close to a Luttinger surface, where the single-particle density-of-states vanishes at zero energy. \u0000We here show that, contrary to such common belief, coherent `quasiparticles` do exist also approaching a Luttinger surface in compressible interacting electron systems. Thermodynamic and dynamic properties of such `quasiparticles` are just those of conventional ones. For instance, they yield well defined quantum oscillations \u0000in Luttinger's surface and linear in temperature specific heat, which is striking given the vanishing density of states of physical electrons, but actually not uncommon in strongly correlated materials.","PeriodicalId":8511,"journal":{"name":"arXiv: Strongly Correlated Electrons","volume":"22 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74602344","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Diffusion in the Anderson model in higher dimensions","authors":"P. Prelovšek, J. Herbrych","doi":"10.1103/PhysRevB.103.L241107","DOIUrl":"https://doi.org/10.1103/PhysRevB.103.L241107","url":null,"abstract":"We present an extended microcanonical Lanczos method (MCLM) for a direct evaluation of the diffusion constant and its frequency dependence within the disordered Anderson model of noninteracting particles. The method allows to study systems beyond $10^6$ sites and we present results for diffusion in hypercubic lattices in $ d = 3- 7$ dimensions. Below the transition to localization, where we confirm dynamical scaling behaviour, of interest is a wide region of incoherent diffusion, similar to percolating phenomena and to interacting many-body localized systems.","PeriodicalId":8511,"journal":{"name":"arXiv: Strongly Correlated Electrons","volume":"24 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72894662","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Yanxing Yang, Cheng Tan, Zihao Zhu, Jing Zhang, Z. Ding, Qiong Wu, Changshen Chen, T. Shiroka, Douglas MacLaughline, C. Varma, L. Shu
{"title":"Discovery of an ultra-quantum spin liquid","authors":"Yanxing Yang, Cheng Tan, Zihao Zhu, Jing Zhang, Z. Ding, Qiong Wu, Changshen Chen, T. Shiroka, Douglas MacLaughline, C. Varma, L. Shu","doi":"10.21203/RS.3.RS-351743/V1","DOIUrl":"https://doi.org/10.21203/RS.3.RS-351743/V1","url":null,"abstract":"\u0000 Quantum fluctuations are expected to lead to highly entangled spin-liquid states in some two-dimensional spin-1/2 compounds. We have synthesized and measured thermodynamic properties and muon relaxation rates in two related such compounds, one of which is the least disordered of this kind synthesized hitherto and reveals intrinsic properties of a class of spin-liquids. Its measured properties can all be simply characterized by scale invariant time-dependent fluctuations with a single parameter. The specific heat divided by temperature and muon relaxation rates are both temperature independent at low temperatures, followed by a logarithmic decrease with increasing temperature. Even more remarkably, ∼57% of the magnetic entropy is missing down to temperatures of O(10−3) the exchange energy, independent of magnetic field up to gµBH > kBT . This is evidence that quantum fluctuations lead either to a gigantic specific heat peak from topological singlet excitations below such temperatures, or to an extensively degenerate topological singlet ground state. These results reveal an ultra-quantum state of matter.","PeriodicalId":8511,"journal":{"name":"arXiv: Strongly Correlated Electrons","volume":"7 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88830338","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Topological excitations in quasi two-dimensional quantum magnets with weak interlayer interactions","authors":"D. Bhowmick","doi":"10.32657/10356/146503","DOIUrl":"https://doi.org/10.32657/10356/146503","url":null,"abstract":"The study of topological magnetic excitations has attracted widespread attention in the past few years. In this thesis, I have studied some examples of novel topological magnonic phases/phenomena in low-dimensional quantum magnets. The first chapter motivates the research based on the research gap in this field of study. The second chapter is written to make the thesis self-sufficient and the concepts are explained through examples. In the second chapter, the following formalisms and physical observables are described: Holstein-Primakoff, bond operator, Schwinger boson, Bogoliubov-Valatin, Group theory, Berry-phase, Berry-curvature, Chern number, thermal Hall conductance, Nernst conductivity, dynamical spin structure factor, edge-current. The main results of the thesis are shown in the third, fourth, and fifth chapters. In the third chapter, I have shown that anti-chiral edge states (co-propagating edge states) arise in the ferromagnetic Heisenberg model on the honeycomb lattice with Dzyaloshinskii-Moriya (DM) interactions. My results suggest that such anti-chiral edge states may be induced in certain realistic models of quantum magnets. In the fourth chapter, I have found the emergence of many magnon band-topological phases in the flux state of the Shastry-Sutherland model. I have derived a simple analytical form of the temperature dependence of derivative of thermal Hall conductivity near the band topological transition point which I propose to be experimentally useful. In the fifth chapter, I have investigated the emergence of Weyl triplons due to inter-layer DM-interaction in a microscopic model of SrCu2(BO3)2, a widely studied frustrated quantum magnet. I have shown that the thermal magnon Hall conductivity has a quasi-linear dependence as a function of the magnetic field in a Weyl-triplon region.","PeriodicalId":8511,"journal":{"name":"arXiv: Strongly Correlated Electrons","volume":"73 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75983726","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Abelian parton state for the \u0000ν=4/11\u0000 fractional quantum Hall effect","authors":"Ajit C. Balram","doi":"10.1103/PHYSREVB.103.155103","DOIUrl":"https://doi.org/10.1103/PHYSREVB.103.155103","url":null,"abstract":"We consider the fractional quantum Hall effect at the filling factor $nu=4/11$, where two independent experiments have observed a well-developed and quantized Hall plateau. We examine the Abelian state described by the \"$4bar{2}1^{3}$\" parton wave function and numerically demonstrate it to be a plausible candidate for the ground state at $nu=4/11$. We work out the low-energy effective theory of the $4bar{2}1^{3}$ edge and make predictions for experimentally measurable properties of the state.","PeriodicalId":8511,"journal":{"name":"arXiv: Strongly Correlated Electrons","volume":"23 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81399928","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}