Symmetry Dictionary on Charge and Spin Nonlinear Responses for All Magnetic Point Groups with Nontrivial Topological Nature

Recently, charge or spin nonlinear transport with nontrivial topological properties in crystal materials has attracted much attention. In this paper, we perform a comprehensive symmetry analysis for all 122 magnetic point groups (MPGs) and provide a useful dictionary for charge and spin nonlinear transport from Berry curvature dipole, Berry connection polarization and Drude term with nontrivial topological nature. The results are obtained by making a full symmetry investigation on matrix representations of six nonlinear response tensors. We further identify every MPG that can accommodate two or three of the nonlinear tensors. The present work gives a solid theoretical basis for overall understanding the second-order nonlinear responses in realistic materials.Comment: 5 pages, 2 figure

(E)-N′-(2-Furylmethyl­ene)benzo­hydrazide

In the title compound, C12H10N2O2, the dihedral angle between the benzene and furan rings is 52.54 (7)°. In the crystal, inter­molecular N—H⋯O hydrogen bonds and C—H⋯π inter­actions link the mol­ecules

Emergence, Evolution and Scaling of Online Social Networks

This work was partially supported by AFOSR under Grant No. FA9550-10-1-0083, NSF under Grant No. CDI-1026710, NSF of China under Grants Nos. 61473060 and 11275003, and NBRPC under Grant No. 2010CB731403. The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.Peer reviewedPublisher PD

(E)-N′-[1-(4-Bromo­phen­yl)ethyl­idene]-2-hydroxy­benzohydrazide

In the title compound, C15H13BrN2O2, the two aromatic rings form a dihedral angle of 7.9 (1)° and an intra­molecular N—H⋯O hydrogen bond influences the mol­ecular conformation. In the crystal, inter­molecular O—H⋯O hydrogen bonds link the mol­ecules into chains propagated in [001]. The crystal packing exhibits also π–π inter­actions, which pair mol­ecules into centrosymmetric dimers with short inter­molecular distances of 3.671 (4) Å between the centroids of aromatic rings

N′-(2-Chloro­benzyl­idene)benzo­hydrazide

The asymmetric unit of the title compound, C14H11ClN2O, contains two independent mol­ecules. In one mol­ecule, the two aromatic rings form a dihedral angle of 45.94 (16)°, while in the second mol­ecule this angle is 58.48 (16)°. In the crystal, inter­molecular N—H⋯O hydrogen bonds link the mol­ecules into two crystallographically independent sets of chains propagating along [001]

Overbuilding and development cascades under irrational expectations

The recent sluggish recovery in the U.S. house market has further motivated our research interests in overbuilding in real estate markets. Our model is an extension to Grenadier's (1996), who emphasizes rational investment decisions possibly leading to oversupply in real estate markets, by further allowing for the important implication of irrational expectation for the strategic interaction amongst competing investors. In this model, two market participants are asymmetric because one of them is allowed to have heterogeneous expectations about the growth and volatility of demand shocks. Unlike most of previous studies that only simply think of this phenomenon as a result of irrationality, our model further finds that irrational investors’ value-maximizing investment choices matter in understanding the strategic interaction of investment decisions in real estate markets, therefore providing additional insights into overbuilding and other puzzling phenomena in real estate markets