In condensed matter physics, the term geometrical frustration (or in short: frustration) refers to a phenomenon where atoms tend to stick to non-trivial positions or where, on a regular crystal lattice, conflicting inter-atomic forces (each one favoring rather simple, but different structures) lead to quite complex structures. As a consequence of the frustration in the geometry or in the forces, a plenitude of distinct ground states may result at zero temperature, and usual thermal ordering may be suppressed at higher temperatures. Much studied examples are amorphous materials, glasses, or dilute magnets. The term frustration, in the context of magnetic systems, has been introduced by Gerard Toulouse in 1977. Frustrated magnetic systems had been studied even before. Early work includes a study of the Ising model on a triangular lattice with nearest-neighbor spins coupled antiferromagnetically, by G. H. Wannier, published in 1950. Related features occur in magnets with competing interactions, where both ferromagnetic as well as antiferromagnetic couplings between pairs of spins or magnetic moments are present, with the type of interaction depending on the separation distance of the spins. In that case commensurability, such as helical spin arrangements may result, as had been discussed originally, especially, by A. Yoshimori, T. A. Kaplan, R. J. Elliott, and others, starting in 1959, to describe experimental findings on rare-earth metals. A renewed interest in such spin systems with frustrated or competing interactions arose about two decades later, beginning in the 1970s, in the context of spin glasses and spatially modulated magnetic superstructures. In spin glasses, frustration is augmented by stochastic disorder in the interactions, as may occur, experimentally, in non-stoichiometric magnetic alloys. Carefully analyzed spin models with frustration include the Sherrington–Kirkpatrick model, describing spin glasses, and the ANNNI model, describing commensurability magnetic superstructures. (Wikipedia).
Representing a Function as a Geometric Power Series - Part 1
This video shows how to represent a function as a geometric power series. http://mathispower4u.yolasite.com/
From playlist Power Series
Links: https://www.geogebra.org/m/DERWQcdF https://www.geogebra.org/m/xMYUCkEa https://www.geogebra.org/m/QrfuU8vH BGM: Andy Hunter
From playlist Geometry: Challenge Problems
Introduction to Geometric Power Series
Introduction to Geometric Power Series If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Thank you:)
From playlist Larson Calculus 9.9 Representation of Functions by Power Series
Learn about the geometric mean of numbers. The geometric mean of n numbers is the nth root of the product of the numbers. To find the geometric mean of n numbers, we first multiply the numbers and then take the nth root of the product.
From playlist Geometry - GEOMETRIC MEAN
The last day of geometrical optics. Lots of work went into this and it looks great! -- Watch live at https://www.twitch.tv/simuleios
From playlist Geometrical Optics
Here’s a neat phenomenon that takes place in the context of a circle & a line drawn tangent to it. How can we prove one segment to be the geometric mean of the other two? 🤔 Source: Antonio Gutierrez. geogebra.org/m/DERWQcdF #GeoGebra
From playlist Geometry: Challenge Problems
Frustrated rare-earth Kagome Metals by Philipp Gegenwart
PROGRAM FRUSTRATED METALS AND INSULATORS (HYBRID) ORGANIZERS: Federico Becca (University of Trieste, Italy), Subhro Bhattacharjee (ICTS-TIFR, India), Yasir Iqbal (IIT Madras, India), Bella Lake (Helmholtz-Zentrum Berlin für Materialien und Energie, Germany), Yogesh Singh (IISER Mohali, In
From playlist FRUSTRATED METALS AND INSULATORS (HYBRID, 2022)
Correctness in geometrical problem solving | Arithmetic and Geometry Math Foundations 40
The current technology for solving geometrical problems means that answers are typically in an approximate decimal form, and so strictly speaking incorrect. The problem arises with the reliance on angles, which are inherently imprecise. This video belongs to Wildberger's MathFoundations s
From playlist Math Foundations
Frustrated rare-earth kagome metals by Ronny Thomale and Philipp Gegenwart
PROGRAM FRUSTRATED METALS AND INSULATORS (HYBRID) ORGANIZERS: Federico Becca (University of Trieste, Italy), Subhro Bhattacharjee (ICTS-TIFR, India), Yasir Iqbal (IIT Madras, India), Bella Lake (Helmholtz-Zentrum Berlin für Materialien und Energie, Germany), Yogesh Singh (IISER Mohali, In
From playlist FRUSTRATED METALS AND INSULATORS (HYBRID, 2022)
Geometric Probabilities Length
I introduce Geometric Probabilities and work through two examples that involve length. EXAMPLES AT 2:13 6:57 I do some mental math and say that 3/10 is .3333, it is .3 of course. Find free review test, useful notes and more at http://www.mathplane.com If you'd like to make a donation to
From playlist Geometry
Determining the sum of a geometric sum when there is no sum
👉 Learn how to find the geometric sum of a series. A series is the sum of the terms of a sequence. A geometric series is the sum of the terms of a geometric sequence. The formula for the sum of n terms of a geometric sequence is given by Sn = a[(r^n - 1)/(r - 1)], where a is the first term
From playlist Series
Quantum spin liquids in pyrochlore magnets: a functional renormalization group by Yasir Iqbal
DISCUSSION MEETING NOVEL PHASES OF QUANTUM MATTER ORGANIZERS: Adhip Agarwala, Sumilan Banerjee, Subhro Bhattacharjee, Abhishodh Prakash and Smitha Vishveshwara DATE: 23 December 2019 to 02 January 2020 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Recent theoretical and experimental
From playlist Novel Phases of Quantum Matter 2019
Microscopic Modeling and Applications of Frustrated Magnetism by SungBin Lee
Program The 2nd Asia Pacific Workshop on Quantum Magnetism ORGANIZERS: Subhro Bhattacharjee, Gang Chen, Zenji Hiroi, Ying-Jer Kao, SungBin Lee, Arnab Sen and Nic Shannon DATE: 29 November 2018 to 07 December 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Frustrated quantum magne
From playlist The 2nd Asia Pacific Workshop on Quantum Magnetism
Overview Lecture on Basics of Frustrated Magnets: Experimental-1 by Yogesh Singh
Program The 2nd Asia Pacific Workshop on Quantum Magnetism ORGANIZERS: Subhro Bhattacharjee, Gang Chen, Zenji Hiroi, Ying-Jer Kao, SungBin Lee, Arnab Sen and Nic Shannon DATE: 29 November 2018 to 07 December 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Frustrated quantum magne
From playlist The 2nd Asia Pacific Workshop on Quantum Magnetism
Spinons and magnetization plateaus in s=1/2 Kagome antfierromagnet YCu3(OH)6+xBr3-x -Kwang Yong Choi
PROGRAM FRUSTRATED METALS AND INSULATORS (HYBRID) ORGANIZERS Federico Becca (University of Trieste, Italy), Subhro Bhattacharjee (ICTS-TIFR, India), Yasir Iqbal (IIT Madras, India), Bella Lake (Helmholtz-Zentrum Berlin für Materialien und Energie, Germany), Yogesh Singh (IISER Mohali, In
From playlist FRUSTRATED METALS AND INSULATORS (HYBRID, 2022)
Multicritical melting of three-sublattice order in frustrated easy-axis ...... by Kedar Damle
Indian Statistical Physics Community Meeting 2016 URL: https://www.icts.res.in/discussion_meeting/details/31/ DATES Friday 12 Feb, 2016 - Sunday 14 Feb, 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore This is an annual discussion meeting of the Indian statistical physics community wh
From playlist Indian Statistical Physics Community Meeting 2016
Melting of three-sublattice and easy-axis antiferromagnets on triangular and kagome lattices
New questions in quantum field theory from condensed matter theory Talk Title : Melting of threesublattice order in easyaxis antiferromagnets on triangular and kagome lattices by Kedar Damle URL: http://www.icts.res.in/discussion_meeting/qft2015/ Description:- The last couple of decade
From playlist New questions in quantum field theory from condensed matter theory
Jacek Brodzki: The Geometry of Synchronization Problems and Learning Group Actions
The lecture was held within the framework of the Hausdorff Trimester Program : Applied and Computational Algebraic Topology
From playlist HIM Lectures: Special Program "Applied and Computational Algebraic Topology"
Working with lenses, trying to visualize refractive indices. Things are going well-ish. -- Watch live at https://www.twitch.tv/simuleios
From playlist Geometrical Optics
The Frustration of being Odd: Universal area law violation in local systems by Fabio Franchini
PROGRAM: INTEGRABLE SYSTEMS IN MATHEMATICS, CONDENSED MATTER AND STATISTICAL PHYSICS ORGANIZERS: Alexander Abanov, Rukmini Dey, Fabian Essler, Manas Kulkarni, Joel Moore, Vishal Vasan and Paul Wiegmann DATE : 16 July 2018 to 10 August 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore
From playlist Integrable systems in Mathematics, Condensed Matter and Statistical Physics