We tabulate, on the diagonal, the $n$ th power of the primitive approximation for the pair Coulomb density matrix on a sphere, with up to $n=5$ , and we discuss its behavior at particles contact as $n$ grows. Our results show that even on a curved surface quantum statistical physics is fundamentally different from its classical counterpart. If in the latter one needs to artificially introduce a regularization of the divergent attractive Coulomb potential preventing particles contact, for example with a hard core, in the former this is not necessary.We tabulate, on the diagonal, the $n$th power of the primitive approximation for the pair Coulomb density matrix on a sphere, with up to $n=5$, and we discuss its behavior at particles contact as $n$ grows. Our results show that even on a curved surface quantum statistical physics is fundamentally different from its classical counterpart. If in the latter one needs to artificially introduce a regularization of the divergent attractive Coulomb potential preventing particles contact, for example with a hard core, in the former this is not necessary.

cond-mat.stat-mechCross-listedarXiv:2609.11984Sep 8, 20260 citations

Binary kernel and pair distribution functions of a system with coulomb interactions

P.C. Trivedi

PhysicaMar 1, 19741 citation

Density matrix renormalization group study of superconducting pairing near the quarter-filled Wigner crystal

Rudolf Torsten Clay, Beau A. Thompson

Charge ordering is often found in the phase diagram of unconventional superconductors in close proximity to the superconducting state. This has led to the suggestion that fluctuations of charge order can mediate superconducting pairing. While several mechanisms can lead to charge order, one common mechanism is the long-range Coulomb interaction, resulting in a Wigner crystal charge ordered state. For an electron density of 0.5 per site, we investigate the extended Hubbard model on the two-dimensional square lattice using exact diagonalization and density matrix renormalization group methods. Our results show that the strength of pairing decreases with the nearest-neighbor Coulomb interaction strength $V$ and remains weaker than the tendency of pairing for noninteracting electrons.Charge ordering is often found in the phase diagram of unconventional superconductors in close proximity to the superconducting state. This has led to the suggestion that fluctuations of charge order can mediate superconducting pairing. While several mechanisms can lead to charge order, one common mechanism is the long-range Coulomb interaction, resulting in a Wigner crystal charge ordered state. For an electron density of 0.5 per site, we investigate the extended Hubbard model on the two-dimensional square lattice using exact diagonalization and density matrix renormalization group methods. Our results show that the strength of pairing decreases with the nearest-neighbor Coulomb interaction strength $V$ and remains weaker than the tendency of pairing for noninteracting electrons.

arXiv:2302.08367Physical review. B./Physical review. BApr 3, 20251 citation

Density Matrices and Two-Particle Correlations

Takafumi Kita

Graduate texts in physicsJan 1, 20150 citations

We tabulate, on the diagonal, the

n

th power of the primitive approximation for the pair Coulomb density matrix on a sphere, with up to

n=5

, and we discuss its behavior at particles contact as

n

grows. Our results show that even on a curved surface quantum statistical physics is fundamentally different from its classical counterpart. If in the latter one needs to artificially introduce a regularization of the divergent attractive Coulomb potential preventing particles contact, for example with a hard core, in the former this is not necessary.

V

and remains weaker than the tendency of pairing for noninteracting electrons.