Remarks on Bloch's Method of Sound Waves applied to Many-Fermion Problems

Tomonaga, Sin-itirô

doi:10.1142/9789812812650_0006

Cited by 85 publications

(123 citation statements)

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“…2. For cos(ϕ) 0, corresponding to J 0, only the first part of H SG , the quadratic Tomonaga-Luttinger Hamiltonian [25][26][27], remains, leading to Gaussian thermal states characterised by a vanishing connected correlation function G (N ) con for N > 2. For cos(ϕ) 1 we can replace the cosine in the Hamiltonian (4) by its harmonic approximation [28] leading as well to a quadratic Hamiltonian and Gaussian fluctuations.…”

Section: Arxiv:150503126v2 [Cond-matquant-gas] 19 May 2017mentioning

confidence: 99%

Experimental characterization of a quantum many-body system via higher-order correlations

Schweigler

Kasper

Erne

et al. 2017

Nature

242

319

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Section: Arxiv:150503126v2 [Cond-matquant-gas] 19 May 2017mentioning

confidence: 99%

Experimental characterization of a quantum many-body system via higher-order correlations

Schweigler

Kasper

Erne

et al. 2017

Nature

242

319

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“…Partially based on the work of Tomonaga (1950), in 1963 M. Luttinger suggested a simple, exactly solvable model to describe one-dimensional metals (Luttinger 1963). A single parameter K is used to account for all physical quantities (at least close to the Fermi edge): 1K measures the strength and sign of the interaction.…”

Section: Luttinger Liquidmentioning

confidence: 99%

Spin-charge separation in quasi one-dimensional organic conductors

Dressel

2003

Naturwissenschaften

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Matter is excited by adding an electron or extracting one. These excitations can move in the bulk material almost like a free particle, carrying an electronic charge and spin. The electrons try to avoid each other by Coulomb repulsion and also interact magnetically. If they are confined to one dimension, charge and spin excitations are separated and move independently due to the strong interaction. The unique properties of one-dimensional systems are revealed in a number of experiments on strongly anisotropic materials. Here we review the theoretical models and the experimental indications for the unusual behavior of quasi one-dimensional organic conductors.

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“…Unconventional SC was preliminarily evidenced by the peculiar properties including linear temperature dependence of resistivity in the normal state and extremely high upper critical field exceeding the Pauli limit by a factor of four [3] [7][8][9][10][11] in the normal state is evidenced by the NQR measurements [6]. So far, all the investigations [3-6] consistently point to the unconventional SC in the Q1D Crbased material.…”

mentioning

confidence: 99%

“…Large ferromagnetic spin fluctuations [4] and/or frustrated magnetic fluctuations [5] were predicted by theoretical calculations, and such spin fluctuations were definitely shown by the 75 As nuclear spin-lattice relaxation rate [6]. Accompanied with the strong spin fluctuations, very interestingly, a novel 1D Tomonaga-Luttinger liquid (TLL) [7][8][9][10][11] in the normal state is evidenced by the NQR measurements [6]. So far, all the investigations [3][4][5][6] consistently point to the unconventional SC in the Q1D Crbased material.…”

mentioning

confidence: 99%

Superconductivity in quasi-one-dimensional Cs2Cr3As3 with large interchain distance

et al. 2015

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Since the discovery of high-temperature superconductivity (SC) in quasi-two-dimensional copper oxides, a few layered compounds, which bear similarities to the cuprates, have also been found to host the unconventional SC. Our recent observation of SC at 6.1 K in correlated electron material K2Cr3As3 represents an obviously different paradigm, primarily because of its quasi-one-dimensional ( The revolutionary discovery of high-temperature SC in cuprates in the 1980s [1] has inspired the unprecedented enthusiasm to explore new superconductors, especially in transition-metal compounds. The continuous efforts over a quarter century have led to the discoveries of unconventional SC in a few classes of materials including iron pnictides [2], which bear two fundamental similarities to the cuprates -strong electron correlations and quasi two dimensionality. It is of great interest to explore possible unconventional SC in a Q1D material with significant electron correlations.Our recent observation of SC at T c = 6.1 K in K 2 Cr 3 As 3 realized the above possibility [3]. Unconventional SC was preliminarily evidenced by the peculiar properties including linear temperature dependence of resistivity in the normal state and extremely high upper critical field exceeding the Pauli limit by a factor of four [3] [7][8][9][10][11] in the normal state is evidenced by the NQR measurements [6]. So far, all the investigations [3-6] consistently point to the unconventional SC in the Q1D Crbased material.It is known that Peierls transition easily occurs in Q1D metallic systems [11,12], which prevents the appearance of SC [13]. The interchain coupling serves as a crucial control parameter, thus it is of interest to explore other possible analogues with varying interchain coupling strength. By the replacement of K + with Rb +

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Remarks on Bloch's Method of Sound Waves applied to Many-Fermion Problems

Cited by 85 publications

References 0 publications

Experimental characterization of a quantum many-body system via higher-order correlations

Experimental characterization of a quantum many-body system via higher-order correlations

Spin-charge separation in quasi one-dimensional organic conductors

Superconductivity in quasi-one-dimensional Cs2Cr3As3 with large interchain distance

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