In condensed matter physics, Luttinger's theorem is a result derived by J. M. Luttinger and J. C. Ward in 1960 that has broad implications in the field...

surface of superconducting cuprates Kelvin probe force microscope Luttinger's theorem Dugdale, S B (2016). "Life on the edge: a beginner's guide to the...

perturbation theory The Luttinger model was introduced by Luttinger in 1963 (J. Math. Phys., Vol. 4, 1154 (1963)). Luttinger's solution of this model was...

gauge/gravity duality. Classical fluid Fermionic condensate Luttinger liquid Luttinger's theorem Strongly correlated quantum spin liquid Phillips, Philip...

i , j , k , l {\displaystyle i,j,k,l} are lattice site indices. Luttinger's theorem Ward identity Potthoff, M. (2003). "Self-energy-functional approach...

, “Friedel oscillations in one-dimensional metals: From Luttinger’s theorem to the Luttinger liquid”, Journal of Magnetism and Magnetic Materials, vol...

Fluids. 1 (1): 55–72. Bibcode:1958PhFl....1...55M. doi:10.1063/1.1724337. Luttinger, J. M.; Ward, J. C. (1960). "Ground-State Energy and Many-Fermion System"...

the charge measured by ARPES appears to exceed predictions from Luttinger's theorem for the quantity of electrons. Howard Georgi (2007). "Unparticle...

along with his student Chanchal Kumar Majumdar developed the Kohn–Majumdar theorem related to Fermi gas and its bound and unbound states. He then accepted...

Lundquist number Luneburg lens Lunitidal interval Luttinger's theorem Luttinger liquid Luttinger parameter Luttinger–Kohn model Lux Lyapunov exponent Lyapunov...

Pierre Hohenberg in the framework of the two Hohenberg–Kohn theorems (HK). The original HK theorems held only for non-degenerate ground states in the absence...

is broken. Peierls' theorem states that a one-dimensional equally spaced chain with one electron per ion is unstable. This theorem was first espoused in...

periodic function, with the same periodicity as the crystal lattice. Bloch's theorem proves that the solutions to this differential equation can be written...

Mazdak Luttinger considered the possibility of negative mass and how it would behave under gravitational and other forces. In 1957, following Luttinger's idea...

In the following year, he returned to Japan and proposed the Tomonaga–Luttinger liquid. In 1955, he took the leadership in establishing the Institute...

consumption. Earnshaw's theorem seems to preclude the possibility of static magnetic levitation. However, Earnshaw's theorem applies only to objects with...

symmetrization for which the one-dimensional argument applies directly by Fubini's theorem. In the case where any one of the three functions is a strictly symmetric-decreasing...

conservation laws, something which is precisely formulated by Noether's theorem. The basic idea of time-translation symmetry is that a translation in time...

expected to give the same result, as a consequence of the central limit theorem. The Gaussian distribution function, with mean J 0 N {\displaystyle {\frac...

topology. Even less familiar are carbon nanotubes, the quantum wire and Luttinger liquid with their 1-dimensional topologies. Systems with 1D and 2D topologies...

to the Schrödinger equation with a periodic potential, known as Bloch's theorem. Calculating electronic properties of metals by solving the many-body wavefunction...

composite particle in the crystalline lattice in agreement with the Bloch theorem. The exciton energy depends on K and is typically parabolic for the wavevectors...

Tomonaga’s paper as occasionally alleged, was the source for Joaquin Luttinger’s important model in condensed-matter physics and for ”bosonization.” Walter’s...

delocalization and the magnetic moments remain unpaired. The Bohr–Van Leeuwen theorem proves that there cannot be any diamagnetism or paramagnetism in a purely...

\right)} is the potential landscape due to the crystal lattice. The Bloch theorem asserts that the solution to the problem: H Ψ k ( r ) = E ( k ) Ψ k ( r...

(generalized Lieb-Schultz-Mattis theorems). In 1972 Lieb and Mary Beth Ruskai proved the strong subadditivity of quantum entropy, a theorem that is fundamental for...

density functional theory starts with the theorems of Walter Kohn and Pierre Hohenberg. 1966–1967: Mermin–Wagner theorem is proved by N. David Mermin, Herbert...

ferromagnetism was limited to a thin surface layer. The Bohr–Van Leeuwen theorem, discovered in the 1910s, showed that classical physics theories are unable...

Jompol, Y.; et al. (2009). "Probing Spin-Charge Separation in a Tomonaga-Luttinger Liquid". Science. 325 (5940): 597–601. arXiv:1002.2782. Bibcode:2009Sci...

position of the i-th link in the chain. As a result of the central limit theorem, if N ≫ 1 then we expect a Gaussian distribution for the end-to-end vector...