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7 changes: 2 additions & 5 deletions src/quantumhall_matrixelements/exchange_hankel.py
Original file line number Diff line number Diff line change
Expand Up @@ -18,11 +18,9 @@


def _N_order(n1: int, m1: int, n2: int, m2: int) -> int:
#return (n1 - m1) - (m2 - n2)
return ((n1 - m1) + (m2 - n2))

def _parity_factor(N: int) -> int:
#return (-1) ** ((N + abs(N)) // 2)
return (-1) ** ((N - abs(N)) // 2)

@lru_cache(maxsize=None)
Expand Down Expand Up @@ -141,9 +139,8 @@ def get_exchange_kernels_hankel(
phase = -N * G_angles
phase_by_N[int(N)] = (np.cos(phase) + 1j * np.sin(phase)) * _parity_factor(int(N))

# Small lookup for internal (i)^(d1-d2), indexed by d1,d2 in [0..nmax-1]
# Small lookup for internal (i)^(d1+d2), indexed by d1,d2 in [0..nmax-1]
d_vals = np.arange(nmax, dtype=int)
#phase_internal_table = (1j) ** (d_vals[:, None] - d_vals[None, :]) # (nmax,nmax)
phase_internal_table = (1j) ** (d_vals[:, None] + d_vals[None, :]) # (nmax,nmax)

d_lookup = np.abs(np.subtract.outer(np.arange(nmax), np.arange(nmax))) # (nmax,nmax)
Expand Down Expand Up @@ -197,7 +194,7 @@ def integrand(q):
# Angular/internal phases
phase_internal = phase_internal_table[d1, d2]
phase_angle = phase_by_N[N]
extra_sgn = (-1)**(n2-m2) # CHANGED HERE NEGATIVE B FIELD
extra_sgn = (-1)**(n2-m2)

Xs[:, n1, m1, n2, m2] = phase_internal * phase_angle * X_radial * extra_sgn

Expand Down
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