Nuclear Antiferromagnetism in SolidHe3

CRITIQUE OF RECENT THEORIES AND MONTE CARLO CALCULATION OF EXCHANGE IN SOLID $sup 3$He.

“…." [11][12][13][14][15][16][17][18][19][20][21][22] Part of the page is not clearly legible. In the second line from the bottom, we have "... B = A/8^ page 2 of Add to ref.…”

“…The exchange energy of a pair is about three orders of magnitude larger than that or the nuclear spin magnetic dipole-dipole 1-2 interaction, though about three orders of magnitude [7][8][9][10][11][12][13][14][15][16][17] smaller than the energy per particle.…”

“…In sum, Herring wants to find a set of localized [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17] functions which span the manifold or the \^\ « He uses a closely related fictitious system in which there is no exchange, the infinitely separated system, as a tool which suggests how the -f^0*} may be combined to yield these localized functions, the home-base functions.…”

“…The N! p points p in configuration space correspond to all possible ways of placing the N atoms on the N lattice [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] sites, one to a site. It is now possible to divide all of configuration space into Ni sections $r> such that every point in a given o is closer to a particular P one of the p than to any of the others.…”

Solid Helium Three at Very Low Temperatures

“…The have been recent reports of a number of susceptibility measurements of solid 'He which are accurate enough and extend to sufficiently low temperatures to determine the sign of J. Johnson, Rosenbaum, Symko and Wheatley [28] fitted the earlier susceptibility measurements of the solid down to 20 m OK by Anderson, Reese, and Wheatley 1291 to the Curie-Weiss equation and obtained 6 = 3.5 $-0.5 m OK at V = 24.0 cm3. Pipes and Fairbank [30] measured the susceptibility between 23.3 and 24.2 cm3 down to 40 mOK. Kirk, Osgood and Garber [31] measured the Weiss constant over a wide range of volumes, 21 cm3 to 24 cm3, down to 5 m OK. Sites, Osheroff, Richardson and Lee [32] measured the susceptibility down to 6 m O K for the solid at melting (V = 24.1 cm3) and obtained 0 = 3.0 + 0.3.…”