Recent discoveries in graphene bilayers revealed that when one of the layers is rotated, supercon... more Recent discoveries in graphene bilayers revealed that when one of the layers is rotated, superconductivity emerges. We provide an explanation for this phenomenon. We find that due to the layer rotations, the spinors are modified in such way that a repulsive interaction, becomes attractive in certain directions. This result is obtained following a sequence of steps: when layer 2 is rotated by an angle θ ,this rotation is equivalent to a rotation of an angle −θ of the linear momentum .Due to the discreet lattice, in layer 1, the Fourier transform conserves the linear momentum modulo the hexagonal reciprocal lattice vector. In layer 2, due to the rotation, the linear momentum is conserved modulo the M oire reciprocal lattice vector. Periodicity is achieved at the magical angles obtained from the condition of commensuration of the two lattices. We find that the rotations transform the spinors around the nodal points, such that a repulsive interaction becomes attractive, giving rise to superconductivity.
This practical handbook explains eight constitutional principles and applies them to real-world p... more This practical handbook explains eight constitutional principles and applies them to real-world planning situations. These statements of principles reflect consensus opinions, but the book also discusses points of dissent.
Recent decisions by the U.S. Supreme Court, particularly its rulings on eminent domain and taking... more Recent decisions by the U.S. Supreme Court, particularly its rulings on eminent domain and takings, require real estate and land use attorneys to have a thorough understanding of applicable federal law. Local governments must now take into account rights protected by the First, Fifth, and Fourteenth Amendments when considering regulation of private property. Federal Land Use Law and Litigation is the first in-depth work to analyze the complexities of this evolving practice area. This edition continues to highlight the pivotal federal constitutional and statutory limits affecting local land use and development controls.
Id. at 186. 3 The subsidiary, Greyhound Lines, Inc., is a California corporation with its princip... more Id. at 186. 3 The subsidiary, Greyhound Lines, Inc., is a California corporation with its principal place of business in Phoenix, Arizona. Id. at 189 n.l. 4 See Mt. Hood Stages, Inc. v. Greyhound Corp., 555 F.2d 687 (9th Cir. 1977), cert. granted, 98 S. Ct. 716 (1978). A competitor brought suit against the Greyhound Corporation alleging that Greyhound violated the Sherman Act by engaging in forms of predatory conduct after the Interstate Commerce Commission had granted the competitor certain routes. Id. at 690. There was evidence that Greyhound had fraudulently concealed the existence of the antitrust cause of action sufficient to toll the statute of limitations. Id. at 698.
Recent discoveries in graphene bilayers revealed that when one of the layers is rotated, supercon... more Recent discoveries in graphene bilayers revealed that when one of the layers is rotated, superconductivity emerges. We provide an explanation for this phenomenon. We find that due to the layer rotations, the spinors are modified in such way that a repulsive interaction, becomes attractive in certain directions. This result is obtained following a sequence of steps: when layer 2 is rotated by an angle θ ,this rotation is equivalent to a rotation of an angle −θ of the linear momentum .Due to the discreet lattice, in layer 1, the Fourier transform conserves the linear momentum modulo the hexagonal reciprocal lattice vector. In layer 2, due to the rotation, the linear momentum is conserved modulo the M oire reciprocal lattice vector. Periodicity is achieved at the magical angles obtained from the condition of commensuration of the two lattices. We find that the rotations transform the spinors around the nodal points, such that a repulsive interaction becomes attractive, giving rise to superconductivity.
This practical handbook explains eight constitutional principles and applies them to real-world p... more This practical handbook explains eight constitutional principles and applies them to real-world planning situations. These statements of principles reflect consensus opinions, but the book also discusses points of dissent.
Recent decisions by the U.S. Supreme Court, particularly its rulings on eminent domain and taking... more Recent decisions by the U.S. Supreme Court, particularly its rulings on eminent domain and takings, require real estate and land use attorneys to have a thorough understanding of applicable federal law. Local governments must now take into account rights protected by the First, Fifth, and Fourteenth Amendments when considering regulation of private property. Federal Land Use Law and Litigation is the first in-depth work to analyze the complexities of this evolving practice area. This edition continues to highlight the pivotal federal constitutional and statutory limits affecting local land use and development controls.
Id. at 186. 3 The subsidiary, Greyhound Lines, Inc., is a California corporation with its princip... more Id. at 186. 3 The subsidiary, Greyhound Lines, Inc., is a California corporation with its principal place of business in Phoenix, Arizona. Id. at 189 n.l. 4 See Mt. Hood Stages, Inc. v. Greyhound Corp., 555 F.2d 687 (9th Cir. 1977), cert. granted, 98 S. Ct. 716 (1978). A competitor brought suit against the Greyhound Corporation alleging that Greyhound violated the Sherman Act by engaging in forms of predatory conduct after the Interstate Commerce Commission had granted the competitor certain routes. Id. at 690. There was evidence that Greyhound had fraudulently concealed the existence of the antitrust cause of action sufficient to toll the statute of limitations. Id. at 698.
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